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- Publications
- Influence
Limit laws for disparities of spacings
- Domingo Morales González, L. Llorente, M. Llorente, Igor Vadja
- Mathematics
- 1 June 2003
Disparities 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… Expand
- 7
- 2
A test for uniformity based on informational energy
- M. Llorente
- Mathematics
- 1 October 2003
In this paper a test of fit for uniformity based on the estimated Informational Energy is proposed. The test uses m-step spacings. The test is shown to be a consistent test of the null hypothesis.… Expand
- 6
- 2
Minimum power-divergence estimator in three-way contingency tables
- L. Llorente, M. Llorente
- Mathematics
- 2003
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… Expand
- 4
- 2
A comparison of uniformity tests
- Yolanda Marhuenda García, Domingo Morales González, M. Llorente
- Mathematics
- 1 August 2005
Problems 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… Expand
- 17
- 1
About distances of discrete distributions satisfying the data processing theorem of information theory
- M. Llorente
- Mathematics
- 1 July 1997
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… Expand
- 15
- 1
Likelihood divergence statistics for testing hypotheses about multiple population
- Domingo Morales González, L. Llorente, M. Llorente
- Mathematics
- 2001
The 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… Expand
On Burbea-Rao divergence based goodness-of-fit tests for multinomial models
- M. Llorente
- Mathematics
- 1 April 1999
This paper investigates a new family of statistics based on Burbea-Rao divergence for testing goodness-of-fit. Under the simple and composite null hypotheses the asymptotic distribution of these… Expand
- 6
- 1
Testing equality restrictions in generalized linear models for multinomial data
- M. Llorente
- Mathematics
- 1 March 2011
Based on φ-divergences an estimator of the generalized linear models for multinomial data under linear restrictions on the parameters is considered. New test statistics, also based on φ-divergences… Expand
- 2
- 1
A comparison of some estimators of the mixture proportion of mixed normal distributions
- M. Llorente
- Mathematics
- 28 October 1997
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.… Expand
- 3
- 1
- PDF
Use of Renyi's divergence to test for the equality of the coefficients of variation
- M. Llorente, Julio Ángel Pardo Llorente
- Mathematics
- 1 March 2000
A new family of test statistics based on Renyi's divergence is introduced for the hypothesis that the coefficients of variation of k normal populations are equal. A comparative simulation study is… Expand
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