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Scan statistics and applications

Imagen de portada del libro Scan statistics and applications

Información General

  • Autores: Joseph Glaz, Árbol académico
  • Editores: Boston : Birkhäuser, 1999
  • Año de publicación: 1999
  • País: Estados Unidos
  • Idioma: inglés
  • ISBN: 0-8176-4041-X
  • Texto completo no disponible (Saber más ...)

Resumen

  • Scan statistics are used in many areas of science and technology to analyze the occurence of observed clusters of events in time and space. The goal is to determine whether an observed cluster of events occurred by chance if it is assumed that the observed events follow a specified probability model.

    Scan Statistics and Applications is a comprehensive, edited survey that brings together the work of leading authorities to present the most current advances in theory and methodology for this new area of statistical research and application. The chapters contain broad coverage of theory and new analytical and computational methods and techniques in four categories: introductory survey, discrete scan statistics, continuous scan statistics, and applications.

    Features and Topics:

    * Comprehensive introductory survey chapter * Discrete scan statistics * Finite Markov chain imbedding * Continuous scan statistics * Spatial scan statistics * Applications in DNA sequence analysis * Monte Carlo approaches to testing order statistics and spacing The book is a valuable resource and state-of-the-art reference for all practitioners, researchers, and professionals in applied probability and statistics who use scan statistics in their work.

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Índice

  • Preface
    Contributors
    List of Tables
    List of Figures
    Part I. Introduction and Preliminaries
    Introduction to Scan Statistics \ Joseph Glaz and N. Balakrishnan
    Part II. Discrete Scan Statistics
    Approximations for the Distribution and the Moments of Discrete Scan Statistics \ Jie Chen and Joseph Glaz
    Ratchet Scan adn Disjoint Statistics \ Joachim Krauth
    Scanning Multiple Sequences \ Joseph I. Naus
    Part III. Continuous Scan Statistics
    Approximations of the Distributions of Scan Statistics of Poisson Processes \ Sve Erick Alm
    An Approach to Computations Involving Spacings With Applications to the Scan Statistic \ Fred W. Huffer and Chien-Tai Lin
    Using Moments to Approximate the Distribution of the Scan Statistic \ Fred W. Huffer and Chien-Tai Lin
    Applying Ballot Problem Results to Compute Probabilities Required for a Generalization of the Scan Statistic \ Sylvan Wallenstein
    Scan Statistic and Multiple Scan Statistic \ Chien-Tai Lin
    On Poisson Approximation for Continuous Multiple Scan Statistics in Two Dimensions \ Marianne Månsson
    Part IV. Applications
    A Start-Up Demonstration Test Using a Simple Scan-Based Statistic \ Markos V. Koutras and N. Balakrishnan
    Applications of the Scan Statistic in DNA Sequence Analysis \ Ming-Ying Leung and Traci E. Yamashita
    On the Probability of Pattern Matching in Nonaligned DNA Sequences: A Finite Markov Chain Imbedding Approach \ James C. Fu, W.Y. Wendy Lou, and S.C. Chen
    Spacial Scan Statistics: Models, Calculations, and Applications \ Martin Kulldorff
    Index



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