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The Probabilities of Large Deviations for the Chi-square and Log-likelihood Ratio Statistics

Statistics Theory 2016-06-02 v1 Probability Statistics Theory

Abstract

A new large deviation results for the Pearson chi-square and Log-likelihood ratio statistics are obtained. Here attention is focused on the case when the number of groups increases to infinity and the probabilities of groups decreases to zero, as the sample size tends to infinity.

Keywords

Cite

@article{arxiv.1606.00250,
  title  = {The Probabilities of Large Deviations for the Chi-square and Log-likelihood Ratio Statistics},
  author = {Sherzod Mirakhmedov},
  journal= {arXiv preprint arXiv:1606.00250},
  year   = {2016}
}

Comments

11 pages