{"product_id":"limit-distributions-for-sums-of-independent-random-vectors-heavy-tails-in-theory-and-practice-321-wiley-series-in-probability-and-statistics-9780471356295","title":"Limit Distributions for Sums of Independent Random Vectors Heavy Tails in Theory and Practice 321 Wiley Series in Probability and Statistics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eA comprehensive introduction to the central limit theory-from foundations to current research\u003cbr\u003e 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.\u003cbr\u003e 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 a\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"Introduces the central limit theory of random vectors, an essential theory in probability and statistics, focusing on multivariate models.\" (SciTech Book News, Vol. 25, No. 3, September 2001)\u003cbr\u003e \"...well written with many insightful ideas...many interesting features...the most noteworthy being its coverage of limits. There are not many books at the same level.\" (Mathematical Reviews, 2002i)\u003cbr\u003e \"....a carefully written and accessible reference...\" (Short Book Reviews, August 2002)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface.\u003cbr\u003e \u003cbr\u003e Acknowledgments.\u003cbr\u003e \u003cbr\u003e INTRODUCTION.\u003cbr\u003e \u003cbr\u003e Random Vectors.\u003cbr\u003e \u003cbr\u003e Linear Operators.\u003cbr\u003e \u003cbr\u003e Infinitely Divisible Distributions and Triangular Arrays.\u003cbr\u003e \u003cbr\u003e MULTIVARIATE REGULAR VARIATION.\u003cbr\u003e \u003cbr\u003e Regular Variations for Linear Operators.\u003cbr\u003e \u003cbr\u003e Regular Variation for Real-Valued Functions.\u003cbr\u003e \u003cbr\u003e Regular Variation for Borel Measures.\u003cbr\u003e \u003cbr\u003e MULTIVARIATE LIMIT THEOREMS.\u003cbr\u003e \u003cbr\u003e The Limit Distributions.\u003cbr\u003e \u003cbr\u003e Central Limit Theorems.\u003cbr\u003e \u003cbr\u003e Related Limit Theorems.\u003cbr\u003e \u003cbr\u003e APPLICATIONS.\u003cbr\u003e \u003cbr\u003e Applications to Statistics.\u003cbr\u003e \u003cbr\u003e Self-Similar Stochastic Processes.\u003cbr\u003e \u003cbr\u003e References.\u003cbr\u003e \u003cbr\u003e Index.","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":53515425841495,"sku":"9780471356295","price":148.45,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/limit-distributions-for-sums-of-independent-random-vectors-heavy-tails-in-theory-and-practice-321-wiley-series-in-probability-and-statistics-9780471356295","provider":"Book Curl","version":"1.0","type":"link"}