Limit Theorems for Multi-Indexed Sums of Random Variables

Name: Limit Theorems for Multi-Indexed Sums of Random Variables
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783662443873
Price: 22825 HUF
Availability: InStock

Szerző: Oleg Klesov

Nyelv:

Kötés: Kemény kötésű

Kiadó: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Elérhetőség: Beszállítói készleten

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Presenting the first unified treatment of limit theorems for multiple sums of independent random var...

Információk a könyvről

Szerző

Oleg Klesov

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2014

oldal

483

EAN

9783662443873

ISBN

3662443872

Enbook ID

05041983

Kiadó

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Súly

8749

Méretek

155 x 235 x 32

Teljes leírás

Presenting the first unified treatment of limit theorems for multiple sums of independent random variables, this volume fills an important gap in the field. Several new results are introduced, even in the classical setting, as well as some new approaches that are simpler than those already established in the literature. In particular, new proofs of the strong law of large numbers and the Hajek-Renyi inequality are detailed. Applications of the described theory include Gibbs fields, spin glasses, polymer models, image analysis and random shapes.§§Limit theorems form the backbone of probability theory and statistical theory alike. The theory of multiple sums of random variables is a direct generalization of the classical study of limit theorems, whose importance and wide application in science is unquestionable. However, to date, the subject of multiple sums has only been treated in journals.§§The results described in this book will be of interest to advanced undergraduates, graduate students and researchers who work on limit theorems in probability theory, the statistical analysis of random fields, as well as in the field of random sets or stochastic geometry. The central topic is also important for statistical theory, developing statistical inferences for random fields, and also has applications to the sciences, including physics and chemistry.§

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Limit Theorems for Multi-Indexed Sums of Random Variables

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