Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
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Derivations of moments for discrete probability distributions using backward difference operators

후진 미분 연산자를 이용한 이산확률분포의 적률 유도

  • Cho, Kil-Ho (Department of Statistics, Kyungpook National Universtity)
  • Received : 2011.04.26
  • Accepted : 2011.05.23
  • Published : 2011.05.31
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Abstract

In this paper, we obtain the derivations of moments of discrete probability distributions by using the backward difference operators. Also, we presents such derivations for several well-known distributions; they are the binomial, Poisson, geometric, hypergeometric and negative hypergeometric distributions.

본 논문의 목적은 후진 미분 연산자를 이용하여 이산확률분포에 대한 원점으로부터의 r차 적률을 구하는 공식을 유도한다. 이 공식을 이용함으로써 r차 적률은 0에서 계산된 $x^r$의 r번째 후진 미분 연산자까지의 일차결합으로써 계산됨을 알 수 있다.

Keywords

References

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