Limit Distributions for Sums of Independent Random Vectors

Mark M. Meerschaert

ISBN 10: 0471356298 / ISBN 13: 9780471356295

Published by John Wiley and Sons Ltd, 2001

About this Item

This book provides an accessible, serious, and multivariate introduction to the central limit theorem of random variables that lies at the heart of probability and statistics. Practical applications of stable random variables are showcased. Series: Wiley Series in Probability and Statistics. Num Pages: 512 pages, Ill. BIC Classification: PBT. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 164 x 243 x 35. Weight in Grams: 882. . 2001. 1st Edition. Hardcover. . . . . Books ship from the US and Ireland.

Seller Inventory # V9780471356295

Bibliographic Details

• Title: Limit Distributions for Sums of Independent Random Vectors
• Publisher: John Wiley and Sons Ltd
• Publication Date: 2001
• Language: English
• ISBN 10: 0471356298
• ISBN 13: 9780471356295
• Binding: Hardcover
• Condition: New

About this title

Synopsis

A comprehensive introduction to the central limit theory-from foundations to current research
This volume provides an introduction to the central limit theory of random vectors, which lies at the heart of probability and statistics. The authors develop the central limit theory in detail, starting with the basic constructions of modern probability theory, then developing the fundamental tools of infinitely divisible distributions and regular variation. They provide a number of extensions and applications to probability and statistics, and take the reader through the fundamentals to the current level of research.
In synthesizing results from nearly 200 research papers and presenting them in a self-contained form, authors Meerschaert and Scheffler have produced an accessible reference that treats the central limit theory honestly and focuses on multivariate models. For researchers, it provides an efficient and logical path through a large collection of results with many possible applications to real-world phenomena. Limit Distributions for Sums of Independent Random Vectors includes a coherent introduction to limit distributions and these other features:
* A self-contained introduction to the multivariate problem
* Multivariate regular variation for linear operators, real-valued functions, and Borel Measures
* Multivariate limit theorems: limit distributions, central limit theorems, and related limit theorems
* Real-world applications
Limit Distributions for Sums of Independent Random Vectors is a comprehensive reference that provides an up-to-date survey of the state of the art in this important research area.

About the Author

MARK M. MEERSCHAERT, PhD, is Associate Professor of Mathematics at the University of Nevada-Reno. He is also the author of Mathematical Modeling.

HANS-PETER SCHEFFLER, PhD, is Associate Professor of Mathematics at the University of Dortmund, Germany.