高等数学研究
高等數學研究
고등수학연구
STUDIES IN COLLEGE MATHEMATICS
2012年
1期
16-17
,共2页
随机和%和的分布%复合分布
隨機和%和的分佈%複閤分佈
수궤화%화적분포%복합분포
random sum%distribution of sum%compound distribution
对于两个独立的随机和，利用概率论的方法讨论它们的和的分布问题，可以得出独立的随机和的和仍然为随机和的结论．另外具体给出复合Poisson分布和、复合二项分布和、复合负二项分布和，以及复合几何分布和的分布．’
對于兩箇獨立的隨機和，利用概率論的方法討論它們的和的分佈問題，可以得齣獨立的隨機和的和仍然為隨機和的結論．另外具體給齣複閤Poisson分佈和、複閤二項分佈和、複閤負二項分佈和，以及複閤幾何分佈和的分佈．’
대우량개독립적수궤화，이용개솔론적방법토론타문적화적분포문제，가이득출독립적수궤화적화잉연위수궤화적결론．령외구체급출복합Poisson분포화、복합이항분포화、복합부이항분포화，이급복합궤하분포화적분포．’
For two independent random sums, the distribution of the sum of these two random sums is investigated and a general result that the sum of two independent random sums is still a random sum is presented, which shows the relation between the two distributions. Using this result, the distributions of the sums of some common compound distributions are given which include the compound Poisson distribution, binomial distribution, generalized binomial distribution, and geometric distribution.
