On the Use of Bounds in the Statistical Analysis of Spatial Processes
空间过程统计分析中界的运用
Explicit solutions for the equilibrium distributions of competitive spatial processes in which the rate of invasion is directly proportional to the number of neighbours of a certain type exist only in special cases. Nevertheless these models may be more realistic than those required to produce Markov random fields. As an alternative to Monte Carlo simulation we use local balance equations to find bounds for important properties of the limiting configuration such as the…