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In this paper, we consider independence models for three-dimensional tables under multinomial sampling. We use the restricted minimum phi-divergence estimator in a phi-divergence statistic, which is the basis of some new test statistics, for sol[...]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
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
K-phi-divergence's, statistic family for goodness-of-fit, under the null hypothesis, has an asymptotic chi-squared distribution; however, for small samples, the chi-squared approximation in some cases does not well agree with the exact distribut[...]texto impreso
We consider the Useful Informational Energy introduced by L. Pardo [5]. Our purpose is to study the asymptotic distribution of its analogue estimator, in a random and stratified sampling, as well as its application to testing hypotheses.texto impreso
In this paper for a wide class of goodness-of-fit statistics based Ko-divergences, the asymptotic normality is established under the assumption n/m(n) --> a is an element of (0, infinity), where m(n) denotes sample size and Mn the number of cel[...]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
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
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
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
Menéndez Calleja, María Luisa ; Pardo Llorente, Julio Ángel ; Pardo Llorente, María del Carmen | Pergamon-Elsevier Science Ltd | 1998-07A point estimation procedure based on the maximum entropy principle for (h, phi) entropies is proposed using sample quantiles. These estimators are efficient and asymptotically normal under standard regularity conditions. A test for goodness-of-[...]texto impreso
Menéndez Calleja, María Luisa ; Taneja, I.J. ; Pardo Llorente, Julio Ángel | Elsevier Science | 1993-09-10A phi-fuzzy probabilistic information system comparison criterion is defined. It is based on a nonnegative concave function considered over a fuzzy state space. Based on phi-fuzzy probabilistic information system comparison criterion, many inter[...]texto impreso
In this paper a new family of statistics based on K-phi-divergence for testing goodness-of-fit under composite null hypotheses axe considered. The asymptotic distribution of this test is obtained when the unspecified parameters axe estimated by [...]texto impreso
In this paper, we consider independence models for three-dimensional tables under multinomial sampling. We use the restricted minimum phi-divergence estimator in a phi-divergence statistic, which is the basis of some new statistics, for solving [...]texto impreso
Pardo Llorente, Julio Ángel ; Pardo Llorente, María del Carmen ; Vicente, M.L. ; Esteban, M.D. | Springer | 1995On the basis of the informational energy an alternative test of homogeneity of variances in samples from normal populations is developed. In addition, several of the more well known statistics for performing this type of analysis and the new tes[...]
