摘要
本文利用一粒茧的中途落绪数服从卜里耶·埃肯别尔根(Polya Eggenbergen)分布的结论,直接从解舒率的定义出发导出了解舒率的理论分布,求出其期望和方差的表达式,并证明了当n→∞时解舒率渐近地服从正态分布N(1/(1+λ),λ(1+ρ)/(n(1+λ)~4)))。最后对理论结果进行了随机模拟和检验,并讨论了分布参数的变化对解舒率的方差的影响,还讨论了应用中的一些问题。
This article has derived the distribution of reelability percentage direct from its definition based on the conclusion that the distribution of the number of dropping ends of one cocoon is subject to the polya Eggenbergen distribution.
The expression of the mathematical expectation and the variance for reelability percentage have been obtained. It is proved that the reelability per-
centage approaches the normal distribution(?) while n is
large enough. Finally, a great number of imitate experiments and tests have been carried out for the theoretical results, and the influence on changes of distribution parameters to the variance of reelability percentage is discussed. Some problems on application also have been discussed.
出处
《苏州大学学报（工科版）》
CAS
1989年第2期15-27,共13页
Journal of Soochow University Engineering Science Edition (Bimonthly)
关键词
解舒率
概率分布
期望
方差
reelability percentage, probability distribution, mathematical expectation, variance.
