[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2018.007

RECURRENCE RELATIONS FOR HIGHER ORDER MOMENTS OF A COMPOUND BINOMIAL RANDOM VARIABLE

Kim, Donghyun (Department of Mathematics, Pusan National University)
Kim, Yoora (Department of Mathematics, University of Ulsan)

Publication Information

East Asian mathematical journal / v.34, no.1, 2018 , pp. 59-67 More about this Journal

Abstract

We present new recurrence formulas for the raw and central moments of a compound binomial random variable. Our approach involves relating two compound binomial random variables that have parameters with a difference of 1 for the number of trials, but which have the same parameters for the success probability for each trial. As a consequence of our recursions, the raw and central moments of a binomial random variable are obtained in a recursive manner without the use of Stirling numbers.

Keywords

Binomial random variable; compound random variable; raw moment; central moment; recursion;

Citations & Related Records

Reference

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