Person: Pardo Llorente, Leandro
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First Name
Leandro
Last Name
Pardo Llorente
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Matemáticas
Department
Estadística e Investigación Operativa
Area
Estadística e Investigación Operativa
Identifiers
7 results
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Now showing 1 - 7 of 7
Item Comparison of experiments based on generalized entropy measures.(Communications in statistics. Theory and methods, 1993) Pardo Llorente, Julio Ángel; Menéndez, María Luisa; Taneja, I.J.; Pardo Llorente, LeandroTaneja (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 parameter theta with prior knowledge p(theta). By using average amount of information in unified form, we have compared experiments based on bayesian approach. Some connections with the criteria of Blackwell and Lehmann are also made.Item Asymptotic approximations for the distributions of the (h, f)-divergence goodness-of-fit statistics: application to Renyi’s statistic(Kybernetes, 1997) Menéndez Calleja, María Luisa; Pardo Llorente, Julio Ángel; Pardo Llorente, Leandro; Pardo Llorente, María del CarmenRead (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) under bar, <(phi)under bar>)-divergence measures. Considers two other closer approximations to the exact distribution. Compares these three approximations for the Renyi's statistic in small samples.Item Rao's statistic for the analysis of uniform association in cross-classifications(Communications in statistics. Theory and methods, 2001) Menéndez Calleja, María Luisa; Pardo Llorente, Julio Ángel; Pardo Llorente, LeandroIn 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 focus our attention in the uniform association model. Our measure is based in the family of divergences introduced by Burbea and Rao [1]. Some well-known sets of data are reanalyzed and a simulation study is presented to analyze the behavior of the new families of test statistics introduced in this paper.Item Some statistical applications of generalized Jensen difference divergence measures for fuzzy information systems(Fuzzy Sets and Systems, 1992) Menéndez Calleja, María Luisa; Pardo Llorente, Julio Ángel; Pardo Llorente, LeandroIn 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 measures when the available information from the experiment is not exact in order to compare fuzzy information systems. Then we establish the relationship between extended Fisher information and the generalized (r, s)-Jensen difference divergence measures.Item On tests of symmetry, marginal homogeneity and quasi-symmetry in two-way contingency tables based on minimum phi-divergence estimator with constraints(Journal of Statistical Computation and Simulation, 2005) Menéndez Calleja, María Luisa; Pardo Llorente, Julio Ángel; Pardo Llorente, Leandro; Zografos, KonstantinosThe 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 employed to obtain estimates of the cell frequencies of an 1 x 1 contingency table under hypotheses of symmetry, marginal homogeneity or quasi-symmetry. The associated phi-divergence statistics are distributed asymptotically as chi-squared distributions under the null hypothesis. The new estimators and test statistics contain, as particular cases, the classical estimators and test statistics previously presented in the literature for the cited problems. A simulation study is presented, for the symmetry problem, to choose the best function phi(2) for estimation and the best function phi(1) for testing.Item The generalized entropy measure to the design and comparison of regression experiment in a Bayesian context(Information Sciences, 1993) Pardo Llorente, Julio Ángel; Pardo Llorente, Leandro; Menéndez Calleja, María Luisa; Taneja, I.J.Taneja [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 unknown parameter θ with prior knowledge p(θ). By using average amount of information in unified form, we compare experiments based on the Bayesian approach. Some connections with the criterion of Blackwell and Lehmann are also made. In this paper, an application of generalized entropy measures to the design and comparison of linear regression experiment is presented.Item Sufficient fuzzy information systems(Fuzzy Sets and Systems, 1989) Menéndez Calleja, María Luisa; Pardo Llorente, Julio Ángel; Pardo Llorente, LeandroIn 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 and Asai). This criterion is based on the concept of sufficient probabilistic information system established by Blackwell.