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Limit laws for disparities of spacings
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 whereExpand
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A test for uniformity based on informational energy
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
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Minimum power-divergence estimator in three-way contingency tables
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 thatExpand
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A comparison of uniformity tests
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 forExpand
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About distances of discrete distributions satisfying the data processing theorem of information theory
Distances of discrete probability distributions are considered. Necessary and sufficient conditions for validity of the data processing theorem of information theory are established. These conditionsExpand
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Likelihood divergence statistics for testing hypotheses about multiple population
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 divergenceExpand
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On Burbea-Rao divergence based goodness-of-fit tests for multinomial models
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 theseExpand
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Testing equality restrictions in generalized linear models for multinomial data
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-divergencesExpand
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A comparison of some estimators of the mixture proportion of mixed normal distributions
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
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Use of Renyi's divergence to test for the equality of the coefficients of variation
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 isExpand
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