Limit Theorems for Multi-Indexed Sums of Random Variables

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Mathematics, Statistics
Cover of the book Limit Theorems for Multi-Indexed Sums of Random Variables by Oleg Klesov, Springer Berlin Heidelberg
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Oleg Klesov ISBN: 9783662443880
Publisher: Springer Berlin Heidelberg Publication: October 13, 2014
Imprint: Springer Language: English
Author: Oleg Klesov
ISBN: 9783662443880
Publisher: Springer Berlin Heidelberg
Publication: October 13, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Berlin Heidelberg

Cover of the book An der Hochschule lehren by Oleg Klesov
Cover of the book Überleitungsmanagement by Oleg Klesov
Cover of the book Online Maps with APIs and WebServices by Oleg Klesov
Cover of the book Managementdialoge - Zukunftsorientierte Unternehmensgestaltung by Oleg Klesov
Cover of the book Magnonics by Oleg Klesov
Cover of the book Performance Measurement with the Balanced Scorecard by Oleg Klesov
Cover of the book Application of Hydrothermal Reactions to Biomass Conversion by Oleg Klesov
Cover of the book Renal Pathology in Biopsy by Oleg Klesov
Cover of the book Business Relationship Management and Marketing by Oleg Klesov
Cover of the book The Patellofemoral Joint by Oleg Klesov
Cover of the book Hemopoietic Dysplasias (Preleukemic States) by Oleg Klesov
Cover of the book Coupled Dynamics in Soil by Oleg Klesov
Cover of the book Das Glück des Traurigseins by Oleg Klesov
Cover of the book Multiregional Economic Development in China by Oleg Klesov
Cover of the book Whole Body Ultrasonography in the Critically Ill by Oleg Klesov
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy