Limit Theorems for Multi Indexed Sums of Random Variables is popular PDF and ePub book, written by Oleg Klesov in 2014-10-13, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Limit Theorems for Multi Indexed Sums of Random Variables can be Read Online from any device for your convenience.
Limit Theorems for Multi Indexed Sums of Random Variables Book PDF Summary
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.
Detail Book of Limit Theorems for Multi Indexed Sums of Random Variables PDF
- Author : Oleg Klesov
- Release : 13 October 2014
- Publisher : Springer
- ISBN : 9783662443880
- Genre : Mathematics
- Total Page : 495 pages
- Language : English
- PDF File Size : 17,9 Mb
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