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Extremes in random fields :a theory ...

Yakir, Benjamin,

Extremes in random fields :a theory and its applications /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Extremes in random fields :Benjamin Yakir.
其他題名:	a theory and its applications /
作者:	Yakir, Benjamin,
出版者:	Chichester, West Sussex, United Kingdom :Wiley/Higher Education Press,2013.
面頁冊數:	xiii, 225 p. :ill. ;24 cm.
標題:	Random fields.
電子資源:	http://catalogimages.wiley.com/images/db/jimages/9781118620205.jpg
ISBN:	1118620208

Extremes in random fields :a theory and its applications /
Yakir, Benjamin,

Extremes in random fields :a theory and its applications /Benjamin Yakir. - Chichester, West Sussex, United Kingdom :Wiley/Higher Education Press,2013. - xiii, 225 p. :ill. ;24 cm. - Wiley series in probability and statistics.

Includes bibliographical references (p. [221]-222) and index.

Machine generated contents note: Preface I Theory 1 Introduction 1.1 Distribution of extremes in random fields 1.2 Outline of the method 1.3 Gaussian and asymptotically Gaussian random fields 1.4 Applications 2 Basic Examples 2.1 Introduction 2.2 A power-one sequential test 2.3 A kernel-based scanning statistic 2.4 Other methods 3 Approximation of the Local Rate 3.1 Introduction 3.2 Preliminary localization and approximation 3.2.1 Localization 3.2.2 A discrete approximation 3.3 Measure transformation 3.4 Application of the localization theorem 3.5 Integration 4 From the Local to the Global 4.1 Introduction 4.2 Poisson approximation of probabilities 4.3 Average run length to false alarm 5 The Localization Theorem 5.1 Introduction 5.2 A simplifies version of the localization theorem 5.3 The Localization Theorem 5.4 A local limit theorem 5.5 Edge effects II Applications 6 Kolmogorov-Smirnov and Peacock 6.1 Introduction 6.2 Analysis of the one-dimensional case 6.3 Peacock's test 6.4 Relations to scanning statistics 7 Copy Number Variations 7.1 Introduction 7.2 The statistical model 7.3 Analysis of statistical properties 7.4 The False Discovery Rate (FDR) 8 Sequential Monitoring of an Image 8.1 Introduction 8.2 The statistical model 8.3 Analysis of statistical properties 8.4 Optimal change-point detection 9 Buffer Overflow 9.1 Introduction 9.2 The statistical model 9.3 Analysis of statistical properties 9.4 Long-range dependence and self-similarity 10 Computing Pickands' Constants 10.1 Introduction 10.2 Representations of constants 10.3 Analysis of statistical error 10.4 Local fluctuations Appendix A Mathematical Background A.1 Transforms A.2 Approximations of sum of independent random elements A.3 Concentration inequalities A.4 Random walks A.5 Renewal theory A.6 The Gaussian distribution A.7 Large sample inference A.8 Integration A.9 Poisson approximation A.10 Convexity References Index .

"Reading chapters of the book can be used as a primer for a student who is then required to analyze a new problem that was not digested for him/her in the book"--

ISBN: 1118620208

LCCN: 2013018539Subjects--Topical Terms:

186303
Random fields.

LC Class. No.: QA274.45 / .Y35 2013

Dewey Class. No.: 519.2/3

Extremes in random fields :a theory and its applications /
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