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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2018.1
- 수록면
- 59 - 67 (9page)
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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.
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참고문헌 (13)
참고문헌 신청
A. Benyi / 2005 / A recursive formula for moments of a binomial distribution / The College Mathematics Journal 36(1):68~72
N. De Pril / 1986 / Moments of a class of compound distributions / Scandinavian Actuarial Journal (2):117~120
L. Gonzalez / 2009 / A generalization of a combinatorial identity with applications to higher binomial moments / Journal of Algebra, Number Theory: Advances and Applications 1(2):75~88
M. Griffiths / 2013 / Raw and central moments of binomial random variables via Stirling numbers / International Journal of Mathematical Education in Science and Technology 44(2):264~272
R. W. Grubbstrom / 2006 / The moments and central moments of a compound distribution / European Journal of Operational Research 170(1):106~119
N. De Pril / 1986 / Moments of a class of compound distributions / Scandinavian Actuarial Journal (2):117~120
L. Gonzalez / 2009 / A generalization of a combinatorial identity with applications to higher binomial moments / Journal of Algebra, Number Theory: Advances and Applications 1(2):75~88
M. Griffiths / 2013 / Raw and central moments of binomial random variables via Stirling numbers / International Journal of Mathematical Education in Science and Technology 44(2):264~272
R. W. Grubbstrom / 2006 / The moments and central moments of a compound distribution / European Journal of Operational Research 170(1):106~119
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