Published by Springer Nature Switzerland AG, CH, 2019
ISBN 10: 303015016X ISBN 13: 9783030150167
Language: English
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Add to basketPaperback. Condition: New. 2019 ed. This book focuses on quantitative approximation results for weak limit theorems when the target limiting law is infinitely divisible with finite first moment. Two methods are presented and developed to obtain such quantitative results. At the root of these methods stands a Stein characterizing identity discussed in the third chapter and obtained thanks to a covariance representation of infinitely divisible distributions. The first method is based on characteristic functions and Stein type identities when the involved sequence of random variables is itself infinitely divisible with finite first moment. In particular, based on this technique, quantitative versions of compound Poisson approximation of infinitely divisible distributions are presented. The second method is a general Stein's method approach for univariate selfdecomposable laws with finite first moment. Chapter 6 is concerned with applications and provides general upper bounds to quantify the rate of convergence in classicalweak limit theorems for sums of independent random variables. This book is aimed at graduate students and researchers working in probability theory and mathematical statistics.
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Published by Springer Nature Switzerland AG, CH, 2019
ISBN 10: 303015016X ISBN 13: 9783030150167
Language: English
Seller: Rarewaves.com UK, London, United Kingdom
£ 26.50
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Add to basketPaperback. Condition: New. 2019 ed. This book focuses on quantitative approximation results for weak limit theorems when the target limiting law is infinitely divisible with finite first moment. Two methods are presented and developed to obtain such quantitative results. At the root of these methods stands a Stein characterizing identity discussed in the third chapter and obtained thanks to a covariance representation of infinitely divisible distributions. The first method is based on characteristic functions and Stein type identities when the involved sequence of random variables is itself infinitely divisible with finite first moment. In particular, based on this technique, quantitative versions of compound Poisson approximation of infinitely divisible distributions are presented. The second method is a general Stein's method approach for univariate selfdecomposable laws with finite first moment. Chapter 6 is concerned with applications and provides general upper bounds to quantify the rate of convergence in classicalweak limit theorems for sums of independent random variables. This book is aimed at graduate students and researchers working in probability theory and mathematical statistics.
Published by Springer Verlag, 2019
ISBN 10: 303015016X ISBN 13: 9783030150167
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Add to basketPaperback. Condition: Brand New. 118 pages. 9.25x6.10x0.24 inches. In Stock.
ISBN 10: 303015016X ISBN 13: 9783030150167
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ISBN 10: 303015016X ISBN 13: 9783030150167
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Published by Springer International Publishing, 2019
ISBN 10: 303015016X ISBN 13: 9783030150167
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Add to basketCondition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Covers connections between infinite divisibility and Stein s methodFirst to propose a general and unifying Stein s methodology for infinitely divisible law with finite first momentProvides quantitative versions .