Información del autor
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[...]texto impreso
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[...]texto impreso
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 [...]texto impreso
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 [...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
In this paper the Bahadur efficiency in the family of phi-divergence statistics for goodness of fit in multinomial populations is studied.texto impreso
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[...]texto impreso
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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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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 [...]texto impreso
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-[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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.texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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 [...]texto impreso
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[...]texto impreso
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[...]texto impreso
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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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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 [...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]