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 Intraoperative Radiotherapy by Oleg Klesov
Cover of the book Gallstone Disease by Oleg Klesov
Cover of the book Pregnancy and Birth After Assisted Reproductive Technologies by Oleg Klesov
Cover of the book Boundaryless Hospital by Oleg Klesov
Cover of the book Biological Characterization of Bone Tumors by Oleg Klesov
Cover of the book CAPD in Children by Oleg Klesov
Cover of the book Kurzschaftendoprothesen an der Hüfte by Oleg Klesov
Cover of the book Finite Elements Using Maple by Oleg Klesov
Cover of the book Deutschlands Norden by Oleg Klesov
Cover of the book Histopathology of Non-Hodgkin’s Lymphomas by Oleg Klesov
Cover of the book Benign Breast Diseases by Oleg Klesov
Cover of the book The Complement System by Oleg Klesov
Cover of the book The Tomato Genome by Oleg Klesov
Cover of the book Effective Strategy Execution by Oleg Klesov
Cover of the book Advances in Photocatalytic Disinfection 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