The Probabilities of Large Deviations Associated with Multinomial Distributions
Probability
2022-05-09 v1
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.
Cite
@article{arxiv.2205.03317,
title = {The Probabilities of Large Deviations Associated with Multinomial Distributions},
author = {Sherzod M. Mirakhmedov},
journal= {arXiv preprint arXiv:2205.03317},
year = {2022}
}