Displaying similar documents to “Test for Independence of the Variables with Missing Elements in One and the Same Column of the Empirical Correlation Matrix”

MLE for the γ-order Generalized Normal Distribution

Christos P. Kitsos, Vassilios G. Vassiliadis, Thomas L. Toulias (2014)

Discussiones Mathematicae Probability and Statistics

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The introduced three parameter (position μ, scale ∑ and shape γ) multivariate generalized Normal distribution (γ-GND) is based on a strong theoretical background and emerged from Logarithmic Sobolev Inequalities. It includes a number of well known distributions such as the multivariate Uniform, Normal, Laplace and the degenerated Dirac distributions. In this paper, the cumulative distribution, the truncated distribution and the hazard rate of the γ-GND are presented. In addition, the...

On the small sample properties of variants of Mardia’s and Srivastava’s kurtosis-based tests for multivariate normality

Zofia Hanusz, Joanna Tarasińska, Zbigniew Osypiuk (2012)

Biometrical Letters

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The kurtosis-based tests of Mardia and Srivastava for assessing multivariate normality (MVN) are considered. The asymptotic standard normal distribution of their test statistics, under normality, is often misused for too small samples. The purpose of this paper is to suggest mean-and-variance corrected versions of the Mardia and Srivastava test statistics. Simulation studies evaluating both the true sizes and the powers of original and corrected tests against selected alternatives are...

The likelihood ratio test for general mixture models with or without structural parameter

Jean-Marc Azaïs, Élisabeth Gassiat, Cécile Mercadier (2009)

ESAIM: Probability and Statistics

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This paper deals with the likelihood ratio test (LRT) for testing hypotheses on the mixing measure in mixture models with or without structural parameter. The main result gives the asymptotic distribution of the LRT statistics under some conditions that are proved to be almost necessary. A detailed solution is given for two testing problems: the test of a single distribution against any mixture, with application to Gaussian, Poisson and binomial distributions; the test of the number...

Empirical significance test of the goodness-of-fit for some pyramidal clustering procedures.

Carles Capdevila Marquès, Antoni Arcas Pons (1995)

Qüestiió

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Through a series of simulation tests by Monte Carlo methods, some aspects relating to the inference concerning pyramidal trees built by the maximum and minimum methods are considered. In this sense, the quantiles of the γ-Goodman-Kruskal statistic allow us to tabulate a significance test of the goodness-of-fit of a pyramidal clustering procedure. On the other side, the pyramidal method of maximum is observed to be clearly better (more efficient) than that of the minimum in terms of the...

Test of Supremum

Zoran Glišić (1988)

Publications de l'Institut Mathématique

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