ENGLISH

Limit theorems for unions of random closed sets

By Molchanov I.

Book information

Year
1994
Language
english
Format
GZ
Filesize
401 kB (410679 bytes)
Edition
Habilitation Dissertation
Pages
165\165
Library
Kolxo3
Time added
2009-07-20 03:45:11

Description

The book begins with the introduction of the basic tools and known results on random sets distributions and their weak convergence. Although the book is devoted to the study of limit theorems for unions. in Chapter 2 we present several results on Minkowski sums of random compact sets in the Euclidean space. In Chapter 3 we bring the notions of union stable and convex stable random closed sets. Their distributions are characterized in terms of the corresponding capacity or inclusion functionals. In Chapter 4 of 8 we prove limit theorems for scaled unions and convex hulls of random sets. Limit theorems for unions of special random sets and et cetera.

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