Table of Contents: Poisson approximation/

Main Author:	Barbour, A. D.
Corporate Author:	Clarendon Press
Other Authors:	Holst, Lars
Format:	Book
Language:	English
Published:	Oxford [England]: New York: Clarendon Press OxfordUniversity Press, 1992
Series:	Oxford studies in probability 2
Subjects:	Poisson distribution Approximation theory Probability Statistical analysis Distribution Mathematics Mathematical analysis Distribution (Probability theory) Stochastic processes Κατανομή Πουασσόν

Table of Contents:

1. Introduction
2. Upper bounds. 2.1. Upper bounds and monotonicity.2.2. Existence of monotone couplings. Associated random variables.Negatively associated random variables. Gaussian random variables. 2.3.Independent and dissociated summands. 2.4. Miscellany
3. Lowerbounds. 3.1. General lower bounds. 3.2. Lower bounds undermonotonicity. 3.3. Lower bounds for mixed Poisson approximation. 3.4.Illustrative examples
4. Random permutations. 4.1. A general result.4.2. Matching problems. 4.3. The menage problem. 4.4. Higher orderarrays
5. Random graphs. 5.1. Subgraphs in [actual symbols notreproducible]. 5.2. Vertex degrees. 5.3. Coloured graphs and birthdayproblems. 5.4. Complete graphs with repulsions
6. Occupancy and urnmodels. 6.1. Drawing without replacement. 6.2. Multinomial allocations.Left hand domain. Right hand domain. Exact box counts. 6.3. Urn modelsand general occupancy. 6.4. A matrix occupancy problem
7. Spacings.7.1. Couplings. 7.2. Ordinary spacings