A GROUP DYNAMIC-MODEL AND THE LOST GAMES DISTRIBUTION

被引：7

作者：

KEMP, AW ^{[1
]}

KEMP, CD ^{[1
]}

机构：

[1] UNIV ST ANDREWS,DEPT MATH & COMPUTAT SCI,ST ANDREWS KY16 9SS,SCOTLAND

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 1992年 / 21卷 / 03期

关键词：

STATE DEPENDENT PROCESS; TIME HOMOGENEOUS PROCESS; MAXIMUM LIKELIHOOD; INVERSE BINOMIAL DISTRIBUTION;

D O I：

10.1080/03610929208830815

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The paper deals with the distribution of the size of naturally-occuring groups of individuals, where group size is determined by a birth-and-death process. A realistic new state-dependent time-homogeneous equilibrium process is put forward in which the birth rate and the death rate both approach upper asymptotes as group size increases. The outcome is a lost-games distribution. This is fitted to data on size of playgroups, using maximum-likelihood estimation, and provides a very satisfactory fit.

引用

页码：791 / 798

页数：8

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