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Autor Pardo Llorente, Leandro |
Documentos disponibles escritos por este autor (104)
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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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