This monograph on the results and methods of stochastic geometry and spatial statistics is accessible to practitioners and non-theoreticians, and may also be used as an introduction to the subject. Topics covered include the basic theories of point processes, random sets, fibre and surface processes, random tessellations, stereology and the statistical theory of shape. The theory is illustrated by many examples drawn from different branches of science; actual data in the form of images are presented, and their statistical analyses are discussed.

Studies stochastic models of queueing, reliability, inventory, and sequencing in which random influences are considered. One stochastic mode--rl is approximated by another that is simpler in structure or about which simpler assumptions can be made. After general results on comparison properties of random variables and stochastic processes are given, the properties are illustrated by application to various queueing models and questions in experimental design, renewal and reliability theory, PERT networks and branching processes.