Displaying similar documents to “On χ² tests of composite hypotheses”

Some remarks on the individuals-score distance and its applications to statistical inference.

Antonio Miñarro, Josep M. Oller (1992)

Qüestiió

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This paper is concerned with the study of some properties of the distance between statistical individuals based on representations on the dual tangent space of a parametric manifold representation of a statistical model. Explicit expressions for distances are obtained for well-known families of distributions. We have also considered applications of the distance to parameter estimation, testing statistical hypotheses and discriminant analysis.

Second order asymptotic distribution of the R φ -divergence goodness-of-fit statistics

María Del Carmen Pardo (2000)

Kybernetika

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The distribution of each member of the family of statistics based on the R φ -divergence for testing goodness-of-fit is a chi-squared to o ( 1 ) (Pardo [pard96]). In this paper a closer approximation to the exact distribution is obtained by extracting the φ -dependent second order component from the o ( 1 ) term.

A nonparametric test of zero intrapair correlation

Antonín Lukš (1983)

Aplikace matematiky

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The author applies the test criterion of P. Rothety to the statistical analysis of the positive correclation of symmetric pairs of observations. In this particular case he arrives at some new results. His work ends with a general proof of the consistency of Rothery's test.

Parametric test for change in a parameter occurring in the density of one-parameter exponential family

van Huu Nguyen (1980)

Aplikace matematiky

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The problem of testing hypothesis under which the observations are independent, identically distributed against a class of alternatives of regression in a parameter of the one-parameter exponential family is studied. A parametric test for this problem is suggested. The relative efficiency of the parametric test compared to the rank test proposed in the author's preceding paper is also derived.

Goodness of fit tests with weights in the classes based on ( h , φ ) -divergences

Elena Landaburu, Leandro Pardo (2000)

Kybernetika

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The aim of the paper is to present a test of goodness of fit with weigths in the classes based on weighted h , φ -divergences. This family of divergences generalizes in some sense the previous weighted divergences studied by Frank et al [frank] and Kapur [kapur]. The weighted h , φ -divergence between an empirical distribution and a fixed distribution is here investigated for large simple random samples, and the asymptotic distributions are shown to be either normal or equal to the distribution...