Monotonicity properties of the Poisson approximation to the binomial distribution

2020/08/03 by Pinelis, Iosif
#60E15 #62E15 #62E17 #62F03 #FOS: Mathematics #Probability (math.PR) #Statistics Theory (math.ST)

paper · doi:10.48550/arxiv.2008.01125

Abstract

Certain monotonicity properties of the Poisson approximation to the binomial distribution are established. As a natural application of these results, exact (rather than approximate) tests of hypotheses on an unknown value of the parameter p of the binomial distribution are presented.

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