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Journal of Statistical Theory and Practice Volume 9, 2015 - Issue 2
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Original Articles

An Approximation to Binomial Distribution

H. BevraniDepartment of Statistics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
&
S. Sharifi FarDepartment of Statistics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, IranCorrespondence[email protected]
Pages 305-312 | Received 02 Jun 2013, Accepted 05 Feb 2014, Published online: 07 Jul 2014
 
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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.

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