An Approximation to Binomial Distribution

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.

AMS Subject Classification:

• 62E17
• 65C50
• 34K28

Keywords:

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