Monotonicity properties of the Poisson approximation to the binomial distribution

Authors

Iosif Pinelis, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

12-1-2020

Department

Department of Mathematical Sciences

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.

Publisher's Statement

© 2020 Elsevier B.V. Publisher’s version of record: https://doi.org/10.1016/j.spl.2020.108901

Publication Title

Statistics and Probability Letters

Recommended Citation

Pinelis, I. (2020). Monotonicity properties of the Poisson approximation to the binomial distribution. Statistics and Probability Letters, 167. http://doi.org/10.1016/j.spl.2020.108901
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/2619