Introduction to the theory of coverage processes
著者
書誌事項
Introduction to the theory of coverage processes
（Wiley series in probability and mathematical statistics, . Probability and mathematical statistics）
Wiley, c1988
- タイトル別名
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Coverage processes
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注記
Bibliography: p. 369-394
Includes indexes
内容説明・目次
内容説明
Coverage processes are finding increasing application in such diverse areas as queueing theory, ballistics, and physical chemistry. Drawing on methodology from several areas of probability theory and mathematics, this monograph provides a succinct and rigorous development of the mathematical theory of models for random coverage patterns and introduces the concepts and tools underlying their generation. Focusing on processes in the continuum and the case of two or more dimensions, it presents a vast and rich source of problems, illustrating their applications to a diversity of fields, from image processing to industrial safety.
目次
- Examples, concepts and tools
- random line segments, queues and counters
- vacancy
- counting and clumping
- elements of inference. Appendices: direct Radon-Nikodym theorem
- central limit theorem, Poisson limit theorem, ergodic theorem and law of large numbers
- Shepp's coverage theorem
- mean content and mean square content of cells formed by Poisson field of random planes
- multitype branching processes
- lattice percolation.
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