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Approximations to the probabilities of binomial and multinomial random variables and chi-square type statistics

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Summary

New lower and upper bounds are given to the probabilities of binomial and multinomial random variables. Exact bounds are also presented for the sampling distributions of chi-square type statistics and the K-L information number from a multinomial distribution.

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The Institute of Statistical Mathematics

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Matsunawa, T. Approximations to the probabilities of binomial and multinomial random variables and chi-square type statistics. Ann Inst Stat Math 29, 333–358 (1977). https://doi.org/10.1007/BF02532796

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  • DOI: https://doi.org/10.1007/BF02532796

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