Stochastic birth, death and migration processes for spatially distributed populations

作者：Norman T. J. Bailey · 发表于：Biometrika · 年份：1968 · DOI：10.1093/biomet/55.1.189 · 被引用次数：80 · 研究领域：Stochastic processes and statistical mechanics、Point processes and geometric inequalities、Random Matrices and Applications

Stochastic models are investigated for collections of populations which are distributed spatially, either at discrete points on a line or at the nodes of a square or cubic lattice, and which are subject to birth, death, and migration to or from neighbouring populations. Explicit expressions are given for the stochastic means. A general indication is provided for the calculation of variances and covariances, with explicit values for some special cases.