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Autor Pardo Llorente, Leandro |
Documentos disponibles escritos por este autor (104)
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Pardo Llorente, Julio Ángel ; Pardo Llorente, Leandro ; Pardo Llorente, María del Carmen ; Zografos, Konstantinos | Kybernetika | 2004In this paper we consider an exploratory canonical analysis approach for multinomial population based on the phi-divergence measure. We define the restricted minimum phi-divergence estimator, which is seen to be a generalization of the restricte[...]![]()
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A new family of test statistics for testing linear hypotheses in baseline-category logit models is introduced and its asymptotic distribution is obtained. The new family is a natural extension of the classical likelihood ratio test. A simulation[...]![]()
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Consider the loglinear model for categorical data under the assumption of multinomial sampling. We are interested in testing between various hypotheses on the parameter space when we have some hypotheses relating to the parameters of the models [...]![]()
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Menéndez Calleja, María Luisa ; Morales González, Domingo ; Pardo Llorente, Leandro ; Vadja, Igor | Marcel Dekker Inc. | 2001The paper studies a class of tests based on disparities between the real-valued data and theoretical models resulting either from fixed partitions of the observation space, or from the partitions by the sample quantiles of fixed orders. In both [...]![]()
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Menéndez Calleja, María Luisa ; Pardo Llorente, Julio Ángel ; Pardo Llorente, Leandro ; Pardo Llorente, María del Carmen | Emerald Group Publishing Limited | 1997Read (1984) presented an asymptotic expansion for the distribution function of the power divergence statistics whose speed of convergence is dependent on the parameter of the family. Generalizes that result by considering the family of ((h) unde[...]![]()
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Weighted (h, phi) - divergence statistics are obtained by either replacing both distributions involved in the argument by their nonparametric estimators or replacing one distribution and considering the other as given. Asymptotic properties of w[...]![]()
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Menéndez Calleja, María Luisa ; Morales González, Domingo ; Pardo Llorente, Leandro ; Vadja, Igor | Blackwell | 1988-03For a wide class of goodness-of-fit statistics based on phi-divergences between hypothetical cell probabilities and observed relative frequencies, the asymptotic normality is established under the assumption n/m(n) --> gamma is an element of (0[...]![]()
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A divergence measure between discrete probability distributions introduced by Csiszar (1967) generalizes the Kullback-Leibler information and several other information measures considered in the literature. We introduce a weighted divergence whi[...]![]()
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The paper presents asymptotic distributions of phi-disparity goodness-of-fit statistics in product multinomial models, under hypotheses and alternatives assuming sparse and nonsparse cell frequencies. The phi-disparity statistics include the pow[...]![]()
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In this paper the Bahadur efficiency in the family of phi-divergence statistics for goodness of fit in multinomial populations is studied.![]()
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Batsidis, Apostolos ; Horvath, L. ; Martin, N. ; Pardo Llorente, Leandro ; Zografos, Konstantinos | Academic Press | 2013-07We propose two families of maximally selected phi-divergence tests to detect a change in the probability vectors of a sequence of multinomial random variables with possibly different sizes. In addition, the proposed statistics can be used to est[...]![]()
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In this paper new families of test statistics are introduced and studied for the problem of comparing two treatments in terms of the likelihood ratio order. The considered families are based on phi-divergence measures and arise as natural extens[...]![]()
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Pardo Llorente, Julio Ángel ; Menéndez, María Luisa ; Taneja, I.J. ; Pardo Llorente, Leandro | Marcel Dekker Inc. | 1993Taneja (1989) studied a unified (r,s)-entropy which includes as a particular case some of the known entropies.Based on this unified (r,s)-entropy, we have defined the average amount of information provided by an experiment X over the unknown par[...]![]()
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Castilla González, Elena ; Martín, Nirian ; Pardo Llorente, Leandro ; Zografos, Konstantinos | https://www.mdpi.com/ | 2017In this paper, a robust version of the Wald test statistic for composite likelihood is considered by using the composite minimum density power divergence estimator instead of the composite maximum likelihood estimator. This new family of test st[...]![]()
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Menéndez Calleja, María Luisa ; Pardo Llorente, Leandro ; Pardo Llorente, María del Carmen | Elsevier Science BV | 2009-02-01In this paper we present recentered confidence sets for the parameters of a logistic regression model based on preliminary minimum phi-divergence estimators. Asymptotic coverage probabilities are given as well as a simulation study in order to a[...]![]()
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Muñoz García, Joaquín ; Muñoz Pichardo, Juan Manuel ; Pardo Llorente, Leandro | Elsevier science Bv. | 2006-07-20A sample version of the power-divergence measures of Cressie and Read is proposed for the influence analysis in the logistic regression model. Influence measures are obtained by quantifying the deviation between the sample distribution of an est[...]![]()
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Menéndez Calleja, María Luisa ; Pardo Llorente, Julio Ángel ; Pardo Llorente, Leandro | Springer Verlag | 2001-07Assume that a sequence of observations x(1),...,x(n+r) can be treated as the sample values of a Markov chain of order r or less (chain in which the dependence extends over r+1 consecutive variables only), and consider the problem of testing the [...]![]()
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Martín Apaolaza, Níriam ; Morales González, Domingo ; Pardo Llorente, Leandro | Gordon & Breach | 2008-05-21In this article, we introduce minimum divergence estimators of parameters of a binary response model when data are subject to false-positive misclassification and obtained using a double-sampling plan. Under this set up, the problem of goodness-[...]![]()
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Landaburu Jiménez, María Elena ; Morales González, Domingo ; Pardo Llorente, Leandro | Springer Verlag | 2005-07The well-known chi-squared goodness-of-fit test for a multinomial distribution is generally biased when the observations are subject to misclassification. In Pardo and Zografos (2000) the problem was considered using a double sampling scheme and[...]![]()
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This paper studies the change-point problem for a general parametric, univariate or multivariate family of distributions. An information theoretic procedure is developed which is based on general divergence measures for testing the hypothesis of[...]![]()
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The problem of testing homogeneity in contingency tables when the data are spatially correlated is considered. We derive statistics defined as divergences between unrestricted and restricted estimated joint cell probabilities and we show that th[...]![]()
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Menéndez Calleja, María Luisa ; Morales González, Domingo ; Pardo Llorente, Leandro | Pergamon-Elsevier Science Ltd | 1997-09We consider a wide class of statistics, namely phi-divergences. We obtain asymptotic distributions of these statistics in nested models. Our result generalizes previous results in this field.![]()
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Balakrishnan, Narayanaswamy ; Martín, Nirian ; Pardo Llorente, Leandro | Taylor & Francis | 2015-09-03The main purpose of this paper is to introduce first a new family of empirical test statistics for testing a simple null hypothesis when the vector of parameters of interest is defined through a specific set of unbiased estimating functions. Thi[...]![]()
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Empirical phi-divergence test statistics have demostrated to be a useful technique for the simple null hypothesis to improve the finite sample behavior of the classical likelihood ratio test statistic, as well as for model misspecification probl[...]![]()
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Morales González, Domingo ; Pardo Llorente, Leandro ; Pardo Llorente, María del Carmen ; Vadja, Igor | Springer Heidelberg | 2000-12A generalization of the Wald statistic for testing composite hypotheses is suggested for dependent data from exponential models which include Levy processes and diffusion fields. The generalized statistic is proved to be asymptotically chi-squar[...]![]()
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For some discrete state series, such as DNA sequences, it can often be postulated that its probabilistic behaviour is given by a Markov chain. For making the decision on whether or not an uncharacterized piece of DNA is part of the coding region[...]![]()
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The power divergence (PD) and the density power divergence (DPD) families have proven to be useful tools in the area of robust inference. In this paper, we consider a superfamily of divergences which contains both of these families as special ca[...]![]()
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In testing of hypothesis, the robustness of the tests is an important concern. Generally, the maximum likelihood-based tests are most efficient under standard regularity conditions, but they are highly non-robust even under small deviations from[...]![]()
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Landaburu Jiménez, María Elena ; Pardo Llorente, Leandro | Institute of Information Theory and Automation of the ASCR | 2000The aim of the paper is to present a test of goodness of fit with weigths in the classes based on weighted (h, phi)-divergences. This family of divergences generalizes in some sense the previous weighted divergences studied by Frank et al [5] an[...]![]()
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This paper analyzes the power divergence estimators when homogeneity/heterogeneity hypotheses among Standardized mortality ratios (SMRs) are taken into account. A Monte Carlo study shows that when the standard mortality rate is not external, tha[...]![]()
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Our interest is in the problem where independent samples are drawn from two different discrete populations, possibly with a common parameter. The goal is to test hypothesis about the parameters involved in these two samples. A number of tests ar[...]![]()
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We consider a robust version of the classical Wald test statistics for testing simple and composite null hypotheses for general parametric models. These test statistics are based on the minimum density power divergence estimators instead of the [...]![]()
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García de las Heras, Joaquín A. ; Muñoz García, Joaquín ; Muñoz Pichardo, Juan Manuel ; Pardo Llorente, Leandro | Taylor & Francis | 2006We define a new family of influence measures based on the divergence measures, in the multivariate general linear model. Influence measures are obtained by quantifying the divergence between the sample distribution of an estimate obtained with a[...]![]()
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Morales González, Domingo ; Pardo Llorente, Leandro ; Zografos, Konstantinos | Elsevier Science BV | 1998-11-15A general class of dissimilarity measures among k greater than or equal to 2 distributions and their sample estimators are considered, for mixed continuous and categorical variables. The distributional properties are studied for the location mod[...]![]()
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Morales González, Domingo ; Pardo Llorente, Leandro ; Pardo Llorente, María del Carmen | Marcel Dekker Inc | 2001The problem of introducing divergence-based statistics to test composite hypotheses related to s populations is still open when sample sizes are not equal. On the basis of likelihood divergence statistics, a statistical procedure is introduced i[...]![]()
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Morales González, Domingo ; Pardo Llorente, Leandro ; Pardo Llorente, María del Carmen ; Vadja, Igor | Tailor and Francis | 2003-06Disparities of spacings mean the phi-disparities D-phi((q) over bar (n), p(n)) of discrete hypothetical and empirical distributions g and p(n) defined by m-spacings on i.i.d. samples of size n where phi: (0, infinity) \--> HR is twice continuou[...]![]()
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The distributional properties of the weighted (h, phi)-divergence test statistics introduced in Landaburu and Pardo (2000) rely on large sample sizes for their validity. In this paper the accuracy of applying asymptotic results in cases where th[...]![]()
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The main purpose of this paper is to introduce and study the behavior of minimum (Formula presented.)-divergence estimators as an alternative to the maximum-likelihood estimator in latent class models for binary items. As it will become clear be[...]![]()
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Menéndez Calleja, María Luisa ; Morales González, Domingo ; Pardo Llorente, Leandro ; Vadja, Igor | Springer | 2001-06The paper considers statistical models with real-valued observations i.i.d. by F(x, theta (0)) from a family of distribution functions (F(x, theta); theta is an element of Theta), Theta subset of R-s, s greater than or equal to 1. For random qua[...]![]()
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We consider experiments involving the observation of a discrete random variable, or quantitative classification process and we also assume that in addition to probability of each value or class we know its "utility" or "weight" (or more precisel[...]![]()
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In this paper we consider inference based on very general divergence measures, under assumptions of multinomial sampling and loglinear models. We define the minimum phi-divergence estimator, which is seen to be a generalization of the maximum li[...]![]()
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Pardo Llorente, Julio Ángel ; Pardo Llorente, Leandro ; Pardo Llorente, María del Carmen | Springer Verlag | 2006-01A general class of minimum distance estimators for logistic regression models based on the phi- divergence measures is introduced: The minimum phi- divergence estimator, which is seen to be a generalization of the maximum likelihood estimator. I[...]![]()
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In this paper the family of phi-divergence estimators for loglinear models with linear constraints and multinomial sampling is studied. This family is an extension of the maximum likelihood estimator studied by Haber and Brown (1986). A simulati[...]![]()
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Pardo Llorente, Julio Ángel ; Pardo Llorente, Leandro ; Zografos, Konstantinos | Elsevier Science | 2002This paper presents a minimum phi-divergence estimation procedure in multinomial models in which the probabilities depend on unknown parameters that are not mathematically independent but satisfy some functional relationships, This estimator is [...]![]()
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Cressie et al. (2000; 2003) introduced and studied a new family of statistics, based on the phi-divergence measure, for solving the problem of testing a nested sequence of loglinear models. In that family of test statistics the parameters are es[...]![]()
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Consider the loglinear model for categorical data under the assumption of either Poisson, multinomial, or product-multinomial sampling. We are interested in testing between various hypotheses on the parameter space. In this paper, the usual like[...]![]()
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Castilla González, Elena ; Martín Apaolaza, Nirian ; Pardo Llorente, Leandro ; Zografos, Konstantinos | https://www.mdpi.com/ | 2020This paper presents a model selection criterion in a composite likelihood framework based on density power divergence measures and in the composite minimum density power divergence estimators, which depends on an tuning parameter ?. After introd[...]![]()
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Batsidis, Apostolos ; Martín, Nirian ; Pardo Llorente, Leandro ; Zografos, Konstantinos | Gordon & Breach | 2014-01-02This paper presents a family of power divergence-type test statistics for testing the hypothesis of elliptical symmetry. We assess the performance of the new family of test statistics, using Monte Carlo simulation. In this context, the type I er[...]![]()
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Batsidis, Apostolos ; Martín, Nirian ; Pardo Llorente, Leandro ; Zografos, Konstantinos | Marcel Dekker Inc | 2013In a recent article, Cardoso de Oliveira and Ferreira have proposed a multivariate extension of the univariate chi-squared normality test, using a known result for the distribution of quadratic forms in normal variables. In this article, we prop[...]![]()
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In this paper we consider categorical data that are distributed according to a multinomial, product-multinomial or Poisson distribution whose expected values follow a log-linear model and we study the inference problem of hypothesis testing in a[...]![]()
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We study the minimum power-divergence estimator, introduced and studied by N. Cressie and T. R. C. Read [Multinomial goodness-of-fit tests. J. R. Stat. Soc., Ser. B 46, 440–464 (1984), in the loglinear model of quasi-independence. A simulation s[...]![]()
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It is usual to rely on the quasi-likelihood methods for deriving statistical methods applied to clustered multinomial data with no underlying distribution. Even though extensive literature can be encountered for these kind of data sets, there ar[...]![]()
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We consider the asymptotic distribution of divergence-based influence measures which are an extension for polytomous logistic regression of an influence measure proposed in Johnson (1985), for binary logistic regression. A numerical example comp[...]![]()
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In this article, a family of measures for detecting leverage cells in multinomial loglinear models based on Renyi's divergence measures is presented and its properties are studied. An example illustrates its behavior.![]()
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In this paper three families of test statistics for testing nonadditivity in loglinear models are presented under the assumption of either Poisson, multinomial, or product-multinomial sampling. These new families are based on the phi-divergence [...]![]()
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We consider minimum phi-divergence estimators (theta) over cap (phi)(n) of parameters theta of arbitrary dominated models mu(theta)![]()
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For the model of independence in a two way contingency table, shrinkage estimators based on minimum phi-divergence estimators and phi-divergence statistics are considered. These estimators are based on the James-Stein-type rule and incorporate t[...]![]()
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This paper deals with testing equality of variances of observations in the different treatment groups assuming treatment effects are fixed. We study the distribution of a test statistic which is known to perform comparably well with other statis[...]![]()
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Menéndez Calleja, María Luisa ; Pardo Llorente, Julio Ángel ; Pardo Llorente, Leandro ; Zografos, Konstantinos | Elsevier Science | 2003-06-28A family of tests of homogeneity of independent multinomial populations is introduced in terms of the phi(1)-divergence when the parameters are estimated using the minimum phi(2)-divergence estimator instead of the maximum likelihood estimator. [...]![]()
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Menéndez Calleja, María Luisa ; Pardo Llorente, Julio Ángel ; Pardo Llorente, Leandro ; Zografos, Konstantinos | Elsevier Science | 2006A new family of estimators, Minimum phi-divergence estimators, is introduced for the problem of independence in a two-way contingency table and their asymptotic properties are studied. Based on this new family of estimators, a new family of test[...]![]()
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Menéndez Calleja, María Luisa ; Pardo Llorente, Julio Ángel ; Pardo Llorente, Leandro ; Zografos, Konstantinos | Taylor & Francis | 2005-07The restricted minimum phi-divergence estimator, [Pardo, J.A., Pardo, L. and Zografos, K., 2002, Minimum phi-divergence estimators with constraints in multinomial populations. Journal of Statistical Planning and Inference, 104, 221-237], is empl[...]![]()
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The estimation problem of the parameters in a symmetry model for categorical data has been considered for many authors in the statistical literature (for example, Bowker (1948) [1], Ireland et al. (1969) [2], Quade and Salama (1975) [3] Cressie [...]![]()
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The most popular hypothesis testing procedure, the likelihood ratio test, is known to be highly non-robust in many real situations. Basu et al. (2013a) provided an alternative robust procedure of hypothesis testing based on the density power div[...]![]()
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Felipe Ortega, Ángel ; Menéndez Calleja, María Luisa ; Pardo Llorente, Leandro | Routledge Journals, Taylor & Francis | 2007-07In This Paper A New Family Of Test Statistics Is Presented For Testing The Independence. Between The Binary Response Y And An Ordered Categorical Explanatory Variable X (Doses) Against The Alternative Hypothesis Of An Increase Dose-Response Rela[...]![]()
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Menéndez Calleja, María Luisa ; Pardo Llorente, Leandro ; Zografos, Konstantinos | Elsevier Science BV | 2009-10-15This paper studies the simultaneous selection of extreme populations from a set of independent populations. Two types of subset selection rules for k populations are proposed and studied. The first type selects one subset of populations that sho[...]![]()
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Batsidis, Apostolos ; Martin, N. ; Pardo Llorente, Leandro ; Zografos, Konstantinos | Springer | 2016-03This paper studies the change-point problem for a general parametric, univariate or multivariate family of distributions. An information theoretic procedure is developed which is based on general divergence measures for testing the hypothesis of[...]![]()
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Menéndez Calleja, María Luisa ; Pardo Llorente, Julio Ángel ; Pardo Llorente, Leandro | Taylor & Francis | 2008In this paper we introduce and study two new families of statistics for the problem of testing linear combinations of the parameters in logistic regression models. These families are based on the phi-divergence measures. One of them includes the[...]![]()
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When some treatments are ordered according to the categories of an ordinal categorical variable (e.g., extent of side effects) in a monotone order, one might be interested in knowing whether the treatments are equally effective or not. One way t[...]![]()
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In this chapter, we consider 2 x k contingency tables and derive a new family of test statistics for detecting positive dependence in them. The family of test statistics introduced here is based on the phi-divergence measures of which the likeli[...]![]()
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In this paper we assume that the categorical data are distributed according to a multinomial distribution whose probabilities follow a polytomous logistic regression model and we present some inferential results based on minimum phi-divergence e[...]![]()
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Menéndez Calleja, María Luisa ; Pardo Llorente, Leandro ; Pardo Llorente, María del Carmen | Springer Verlag | 2009-03The problem of estimation of the parameters in a logistic regression model is considered under multicollinearity situation when it is suspected that the parameter of the logistic regression model may be restricted to a subspace. We study the pro[...]![]()
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Menéndez Calleja, María Luisa ; Pardo Llorente, Leandro ; Pardo Llorente, María del Carmen | Academic Press | 2008-11We consider the problem of estimation of the parameters in Generalized Linear Models (GLM) with binary data when it is suspected that the parameter vector obeys some exact linear restrictions which are linearly independent with some degree of un[...]![]()
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Menéndez, María Luisa ; Pardo Llorente, Julio Ángel ; Pardo Llorente, Leandro ; Zografos, Konstantinos | Taylor & Francis | 2005-06Consider f(theta) to be a probability density function with parameter theta. A set of k populations can now be defined such that the ith population Pi(i) is the set of density functions f(theta 1(i)),...,f(theta mi(i)). This paper proposes a tes[...]![]()
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Menéndez Calleja, María Luisa ; Pardo Llorente, Julio Ángel ; Pardo Llorente, Leandro | Marcel Dekker Inc | 2001In this paper we introduce a new measure for the analysis of association in cross-classifications having ordered categories. Association is measured in terms of the odd-ratios in 2 x 2 subtables formed from adjacent rows and adjacent columns. We[...]![]()
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Morales González, Domingo ; Pardo Llorente, Leandro ; Pardo Llorente, María del Carmen ; Vadja, Igor | Taylor & Francis | 2004-04We introduce a family of Renyi statistics of orders r is an element of R for testing composite hypotheses in general exponential models, as alternatives to the previously considered generalized likelihood ratio (GLR) statistic and generalized Wa[...]![]()
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Renyi statistics are considered in a directed family of general exponential models. These statistics are defined as Renyi distances between estimated and hypothetical model. An asymptotically quadratic approximation to the Renyi Statistics is es[...]![]()
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This paper introduces a median estimator of the logistic regression parameters. It is defined as the classical L-1-estimator applied to continuous data Z(1),..., Z(n) obtained by a statistical smoothing of the original binary logistic regression[...]![]()
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Castilla González, Elena ; Ghosh, Abhik ; Martín Apaolaza, Nirian ; Pardo Llorente, Leandro | Springer | 2020-11-23Analyzing polytomous response from a complex survey scheme, like stratified or cluster sampling is very crucial in several socio-economics applications. We present a class of minimum quasi weighted density power divergence estimators for the pol[...]![]()
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Statistical techniques are used in all branches of science to determine the feasibility of quantitative hypotheses. One of the most basic applications of statistical techniques in comparative analysis is the test of equality of two population me[...]![]()
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Menéndez Calleja, María Luisa ; Pardo Llorente, Leandro ; Tsairidis, Ch. ; Zografos, Konstantinos | Springer Heidelberg | 2003-09This paper is devoted to the statistical problem of ranking and selection populations by using the subset selection formulation. The interest is focused (i) on the selection of the best population among k independent populations and (ii) on the [...]![]()
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Pardo Llorente, Julio Ángel ; Pardo Llorente, Leandro ; Pardo Llorente, María del Carmen | Taylor & Francis | 2007The inference problem we consider is that of model choice from a nested sequence of binomial regression models. The approach we take is to test successively, from most general to most specific, the corresponding sequence of composite hypotheses.[...]![]()
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Cressie, Noel A. ; Pardo Llorente, Leandro ; Pardo Llorente, María del Carmen | Statistica sinica | 2003-04In this article, we assume that categorical data axe distributed according to a multinomial distribution whose probabilities follow a loglinear model. The inference problem we consider is that of hypothesis testing in a loglinear-model setting. [...]![]()
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In Morales et al (1997) phi-divergence statistics were proposed for testing hypotheses in general populations. In this paper we present some approximations to the power function of these new tests statistics for the cases of the simple null hypo[...]![]()
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The paper deals with simple and composite hypotheses in statistical models with i.i.d. observations and with arbitrary families dominated by a finite measures and parametrized by vector-valued variables. It introduces phi-divergence testing stat[...]![]()
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Menéndez Calleja, María Luisa ; Pardo Llorente, Julio Ángel ; Pardo Llorente, Leandro | Elsevier Science | 1992-12-10In previous papers we have compared statistical experiments by considering unified scalar parametric generalizations of the Jensen difference divergence measure. In this paper we first introduce the generalized Jensen difference divergence measu[...]![]()
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Menéndez Calleja, María Luisa ; Morales González, Domingo ; Pardo Llorente, Leandro ; Zografos, Konstantinos | Elsevier science Bv. | 1999-06-01We consider statistical data forming sequences of states of stationary finite irreducible Markov chains, and draw statistical inference about the transition matrix. The inference consists in estimation of parameters of transition probabilities a[...]![]()
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Menéndez Calleja, María Luisa ; Pardo Llorente, Leandro ; Pardo Llorente, María del Carmen | Korean Statistical Society | 2009-03-01In this paper we present a study of Stein-type estimators for the unknown parameters in logistic regression models when it is suspected that the parameters may be restricted to a subspace of the parameter space. The Stein-type estimators studied[...]![]()
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Menéndez Calleja, María Luisa ; Pardo Llorente, Julio Ángel ; Pardo Llorente, Leandro | Elsevier Science | 1989-08-15In this paper we suggest and study a new selection criterion in order to compare probabilistic information systems when the available information from them is vague, in the sense that it might be considered as fuzzy information (Tanaka, Okuda an[...]![]()
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Pardo Llorente, Julio Ángel ; Pardo Llorente, Leandro ; Pardo Llorente, María del Carmen | Elsevier Science | 2006In this paper, we consider inference based on very general divergence measures under assumptions of a logistic regression model. We use the minimum phi-divergence estimator in a phi-divergence statistic, which is the basis of some new statistics[...]![]()
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The family of density power divergences is an useful class which generates robust parameter estimates with high efficiency. None of these divergences require any non-parametric density estimate to carry out the inference procedure. However, thes[...]![]()
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Pardo Llorente, Leandro ; Menéndez Calleja, María Luisa ; Pardo Llorente, María del Carmen ; Zografos, Konstantinos | Springer | 2011-03DNA or protein sequences are usually modeled as probabilistic phenomena. The simplest model is created on the assumption that the nucleotides at the various sites are independently distributed. Usually the type of nucleotide at some site depends[...]![]()
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Menéndez Calleja, María Luisa ; Morales González, Domingo ; Pardo Llorente, Leandro | Elsevier | 2003-01-25Cubic contingency tables arise frequently in medical sciences when individuals are measured before, during and after the application of some treatment for a given illness, and data are recorded on an ordered categorical scale. By assigning incre[...]![]()
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Menéndez Calleja, María Luisa ; Pardo Llorente, Julio Ángel ; Pardo Llorente, Leandro | Springer | 2001In this paper we introduce a family of test statistics for testing symmetry based on phi -divergcnce families. These test statistics yield the likelihood ratio test and the Pearson test statistic as special cases. Asymptotic distribution for the[...]![]()
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Menéndez Calleja, María Luisa ; Pardo Llorente, Leandro ; Zografos, Konstantinos | UTIL MATH Publ. Inc. | 2002-05Measures of phi-divergences are widely used as statistical tools for making inferences about a collection p(1), p(2),...,p(M) of multinomial parameters (Morales et al. (1995), Zografos et al. (1990), etc). Many such collections appearing in prac[...]![]()
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Pardo Llorente, Julio Ángel ; Pardo Llorente, Leandro ; Menéndez Calleja, María Luisa ; Taneja, I.J. | Elsevier Science INC | 1993-09Taneja [14] studied a unified (r, s)-entropy that includes as a particular case some of the known entropies. Based on this unified (r, s)-entropy, Pardo et al. [8] defined the average amount of information provided by an experiment X over the un[...]![]()
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Menéndez Calleja, María Luisa ; Pardo Llorente, Julio Ángel ; Pardo Llorente, Leandro | Elsevier Science | 2007In this paper we consider the family of phi-divergence test statistics, T-n(phi,S), for the problem of symmetry in I x I contingency tables whose asymptotic distribution is chi-square with I (I - 1)/2 degrees of freedom and we propose a moment-c[...]![]()
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Menéndez Calleja, María Luisa ; Morales González, Domingo ; Pardo Llorente, Leandro ; Vadja, Igor | Marcel Dekker Inc. | 1988Csiszar's phi-divergences of discrete distributions are extended to a more general class of disparity measures by restricting the convexity of functions phi(t), t > 0, to the local convexity at t = 1 and monotonicity on intervals (0, 1) and (1,[...]![]()
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In this paper new test statistics are introduced and studied for the important problem of testing hypothesis that involves inequality constraint on proportions when the sample comes from independent binomial random variables: Wald type and phi-d[...]![]()
texto impreso
Purpose - Proposes a test of goodness-of-fit with composite null hypotheses and weights in the classes based on weighted (h, p)-divergences. Design/methodology/approach - The weighted (h, p)-divergence between an empirical distribution and the p[...]