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Journal of Statistical Theory and Practice

, Volume 9, Issue 2, pp 305–312 | Cite as

An Approximation to Binomial Distribution

Article

Abstract

There are some methods for approximating binomial distribution used under appropriate conditions. This article provides a continuous approximation function for this distribution, which will be obtained by solving a differential equation. Then the parameters of achieved density function are estimated by method of moments. At last, this method of approximation is compared with normal and Poisson approximations.

Keywords

Approximation of distribution Binomial distribution Moments Pearson’s family of distributions 

AMS Subject Classification

62E17 65C50 34K28 

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Copyright information

© Grace Scientific Publishing 2015

Authors and Affiliations

  1. 1.Department of Statistics, Faculty of Mathematical SciencesUniversity of TabrizTabrizIslamic Republic of Iran

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