rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Extremes in random fields
    sub title: a theory and its applications
  name:
    name part: Yakir, Benjamin
    role:
      role term: creator
    role:
      role term: author.
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: enk
    date issued: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource.
  abstract: "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"--
  note: Benjamin Yakir.
  note: 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.
  note: Includes bibliographical references and index.
  subject:
    topic: Random fields
  subject:
    topic: MATHEMATICS
    topic: Probability & Statistics
    topic: General
  subject:
    topic: Random fields
  classification: QA274.45
  classification: 519.2/3
  classification: MAT029000
  related item:
    title info:
      title: Extremes in random fields
    name:
      name part: Yakir, Benjamin, author.
    origin info:
      publisher: Chichester, West Sussex, United Kingdom : John Wiley & Sons Inc., 2013
    identifier: (DLC) 2013018539
  related item:
    title info:
      title: Wiley series in probability and statistics
  identifier: 9781118720622
  identifier: 1118720628
  identifier: 9781118720615
  identifier: 111872061X
  identifier: 9781118720639
  identifier: 1118720636
  identifier: 9781118720608
  identifier: 1118720601
  identifier: 1118620208
  identifier: 9781118620205
  identifier: 2013025343
  identifier: https://doi.org/10.1002/9781118720608
  record info:
    record content source: DLC
    record creation date: 130620
    record change date: 20170124071504.3
    record identifier: ocn849801364
    language of cataloging:
      language term: eng