Monotonicity properties of the Poisson approximation to the binomial distribution

Iosif Pinelis

Statistics & Probability Letters, 2020, vol. 167, issue C

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.

Keywords: Binomial distribution; Poisson distribution; Approximation; Monotonicity; Kolmogorov’s distance; Tests of significance (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2020.108901

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