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What is Learnable in Valiant's Theory of the Learnable? 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Asymptotic Intermediate Efficiency of the Chi-square and Likelihood Ratio Goodness of Fit Tests
Sherzod M. Mirakhmedov · 2016-10-13 · via math.ST updates on arXiv.org

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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