USE OF BOUNDS IN THE STATISTICAL-ANALYSIS OF SPATIAL PROCESSES
成果类型：
Article
署名作者：
CLIFFORD, P; SUDBURY, AW
署名单位：
Monash University
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
发表日期：
1979
页码：
495503
关键词：
摘要：
Explicit solutions for the equilibrium distributions of competitive spatial processes in which the rate of invasion is directly proportional to the number of neighbors of a certain type exist only in special cases. These models may be more realistic than those required to produce Markov random fields. As an alternative to Monte Carlo simulation, local balance equations were used to find bounds for important properties of the limiting configuration such as the population density. When a sufficient number of statistics of the local pattern are available, estimates of the parameters may be made by solving certain balance equations. When only a few statistics are available a numerical method will determine whether these are consistent with a particular set of parameter values.