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Distances of discrete probability distributions are considered. Necessary and sufficient conditions for validity of the data processing theorem of information theory are established. These conditions are applied to the Burbea–Rao divergences and[...]texto impreso
This paper is concerned with comparison of Cressie and Read tests for the hypothesis of independence in three-way contingency tables. A Monte Carlo study is done to empirically compare the power of some members of the family of these tests under[...]texto impreso
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
The Spanish economic crisis has led to a significant reduction in housing sales, and therefore, there has been a decrease in housing prices. In this paper, we analyze changes in the average housing price throughout Spain. We use quarterly data f[...]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
In this work the procedure of minimum divergence estimation based on Burbea and Rao[2]divergence is analyzed.Asymptotic behaviour for these estimators is given. A comparative study of Rao's estimator with other classical estimators is carried ou[...]texto impreso
For stationary time series of nominal categorical data or ordinal categorical data (with arbitrary ordered numberings of the categories), autocorrelation does not make much sense. Biswas and Guha (J Stat Plan Infer 139:3076–3087, 2009a) used mut[...]texto impreso
Marhuenda García, Yolanda ; Morales González, Domingo ; Pardo Llorente, Julio Ángel ; Pardo Llorente, María del Carmen | Elsevier Science | 2005-06-01The testing for goodness-of-fit in multinomial sampling contexts is usually based on the asymptotic distribution of Pearson-type chi-squared statistics. However, approximations are not justified for those cases where sample size and number of ce[...]texto impreso
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We carry out a study of the family of Q(Ps) statistics introduced by Lorenzen [1] for testing goodness-of-fit. The exact powers based on exact critical regions are calculated for each statistic against different alternatives.texto impreso
Fisher's method of maximum likelihood breaks down when applied to the problem of estimating the five parameters of a mixture of two normal densities from a continuous random sample of size n. Alternative methods based on minimum-distance estimat[...]texto impreso
Marhuenda García, Yolanda ; Morales González, Domingo ; Pardo Llorente, María del Carmen | Taylor & Francis Group Ltd | 2005-08Problems of goodness-of-fit to a given distribution can usually be reduced to test uniformity. The uniform distribution appears due to natural random events or due to the application of methods for transforming samples from any other distributio[...]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
