Point processes and their statistical inference

Point processes and their statistical inference

by Karr, Alan F.

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Title Statements

  • Full title :Point processes and their statistical inference / Alan F. Karr.

Edition Statements

  • Publication Date:2009
  • Edition:Second edition, revised and expanded

Publication Statements

The Physical Object

  • Description:1 online resource (xiv, 490 pages)

Edition Identifiers

  • ISBN:9781351423830, 1351423835
  • oclc:on1097113000
  • LC Classification:QA274.42
  • Dewey Decimal:519.2

Table of Contents

Cover -- Half Title -- Title Page -- Copyright Page -- Contents -- Preface to the Second Edition -- Preface to the First Edition -- 1 Point Processes: Distribution Theory -- 1.1 Random Measures and Point Processes -- 1.2 Distributional Descriptors and Uniqueness -- 1.3 Convergence in Distribution -- 1.4 Marked Point Processes -- Cluster Processes -- 1.5 Transformations of Point Processes -- 1.6 Approximation of Point Processes -- 1.7 Palm Distributions -- 1.8 Stationary Point Processes -- Exercises -- Notes -- 2 Point Processes: Intensity Theory -- 2.1 The History of a Marked Point Process -- 2.2 Stochastic Stieltjes Integration -- 2.3 Compensators -- 2.4 Stochastic Intensities -- 2.5 Representation of Point Process Martingales -- 2.6 Conditioning in General Spaces -- Exercises -- Notes -- 3 Inference for Point Processes: A nIntroduction -- 3.1 Forms of Observation -- 3.1.1 Complete Observation -- 3.1.2 Partial Observation -- 3.2 Statistical Inference -- 3.2.1 Parametric Estimation -- 3.2.2 Nonparametric Estimation -- 3.2.3 Parametric Testing of Quantitative Hypotheses -- 3.2.4 Nonparametric Tests of Quantitative Hypotheses -- 3.2.5 Tests of Qualitative Hypotheses -- 3.3 State Est…

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