THE POSITION AND GAP DISTRIBUTION IN STOCHASTIC PERCH SYSTEM AND ITS APPLICATION IN A MODEL OF NON-REPLACING SAMPLE
This paper proposes a probability model of stochastic perch system. Picking randomly n positions from N positions, the joint probability distribution and the marginal probability distribution of the positions and the gaps are obtained. Furthermore a probability model of sampling without replacement is discussed in this paper, and the conclusion is that the number of experiments in sampling without replacement has the same distribution as the positions in stochastic perch system. Compared with the replacing sample, the conclusion is, when the population is small, the difference between the distributions of sampling without and with replacement is big, but when the population is very large and when the ratio of n to N tend to a constant p, the limitdistribution of the number of experiments in sampling without replacement is the same as the distribution of the number of experiments in sampling with replacement.
Stochastic perch system Sampling without replacement Negative hyper-geometric distribution Negative binomial distribution
CHUN-LAN LI YU-FEN ZHANG
College of Sciences, Hebei Agriculture University, Baoding 071001 , China College of Mathematics and Computer, Hebei University , Baoding 071002, China
国际会议
2008 International Conference on Machine Learning and Cybernetics(2008机器学习与控制论国际会议)
昆明
英文
2402-2406
2008-07-12（万方平台首次上网日期，不代表论文的发表时间）