The Probabilities of Large Deviations Associated with Multinomial Distributions

2022/05/06 by Mirakhmedov, Sherzod M.
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2205.03317

Abstract

We consider a multinomial distribution, where the number of cells increases and the cell-probabilities decreases as the number of observations grows. The probabilities of large deviations of statistics, which has form of a sum of Borel functions of cell-frequencies, are studied. Large deviation results for the power-divergence statistics and its most popular special variants, as well as for some count statistics are derived as consequences of general theorems.

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