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Modern Theory of Summation of Random Variables

Modern Probability and Statistics

V.M. Zolotarev

This book contains a comprehensive description of the generalmechanism of forming limit theorems of probability theory. Two modelsserve as basic illustrations: sums and maximums of random variables.

The main topics are:

- Limit theorems for sums of independent random variables innon-classical settings.

- Limit theorems as theorems on the stability of decompositions ofrandom variables.

- Inability to analyse the effects of stability of various stochasticmodels by traditional methods.

- Methodical use of centers and scatters of random variables definedin terms of characteristic functions.

- Effective quantitative refinements of limit theorems presentingconvergence rate estimates.

This monograph will be of value and interest to researchers inprobability theory, mathematical statistics and applications.

1997; iv+412 pages
ISBN 90-6764-270-3
Price (all prices are subject to change without notice): EUR 219/US$ 313

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