A GENERALIZATION OF POISSONS BINOMIAL LIMIT FOR USE IN ECOLOGY
成果类型：
Article
署名作者：
THOMAS, M
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
发表日期：
1949
页码：
1825
关键词：
摘要：
The Poisson situation is generalized by considering a no. of primary points distributed over an area and a random no. of secondary points associated with each primary point. The area is divided into squares and the probabilities that a square contains 0, 1, 2, ... points are calculated, assuming that the nos. of primary points per square and of secondary points per primary point are independently Poisson distributed. Estimates are obtained for the two parameters by the method of moments and by max. likelihood. The latter estimates depend only upon the relative nos. of squares containing none or one point. It is shown that the max. likelihood estimates are not much worse than the moment solutions when there are many squares containing no points or one point.