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arXiv · 1610.04135

Asymptotic Intermediate Efficiency of the Chi-square and Likelihood Ratio Goodness of Fit Tests

Sherzod M. Mirakhmedov
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Abstract

The problem of testing the goodness of fit of an absolutely continuous distribution to a set of observations grouped into equal probability intervals, against to a family of sequences of alternatives approaching the hypothesis is considered. We focus our study to the asymptotic intermediate efficiency (AIE) due to Inglot (1999) of the chi-squared and log-likelihood ratio tests. It is assumed that the number of groups increases together with the number of observations.

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Sherzod M. Mirakhmedov. 2016-10-13. Asymptotic Intermediate Efficiency of the Chi-square and Likelihood Ratio Goodness of Fit Tests. https://arxiv.org/abs/1610.04135

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