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Finite Mixture Distributions

  • B. S. Everitt
  • D. J. Hand

Part of the Monographs on Applied Probability and Statistics book series (MSAP)

Table of contents

  1. Front Matter
    Pages i-xi
  2. B. S. Everitt, D. J. Hand
    Pages 1-23
  3. B. S. Everitt, D. J. Hand
    Pages 25-57
  4. B. S. Everitt, D. J. Hand
    Pages 59-87
  5. B. S. Everitt, D. J. Hand
    Pages 89-105
  6. B. S. Everitt, D. J. Hand
    Pages 107-127
  7. Back Matter
    Pages 129-143

About this book

Introduction

Finite mixture distributions arise in a variety of applications ranging from the length distribution of fish to the content of DNA in the nuclei of liver cells. The literature surrounding them is large and goes back to the end of the last century when Karl Pearson published his well-known paper on estimating the five parameters in a mixture of two normal distributions. In this text we attempt to review this literature and in addition indicate the practical details of fitting such distributions to sample data. Our hope is that the monograph will be useful to statisticians interested in mixture distributions and to re­ search workers in other areas applying such distributions to their data. We would like to express our gratitude to Mrs Bertha Lakey for typing the manuscript. Institute oj Psychiatry B. S. Everitt University of London D. l Hand 1980 CHAPTER I General introduction 1. 1 Introduction This monograph is concerned with statistical distributions which can be expressed as superpositions of (usually simpler) component distributions. Such superpositions are termed mixture distributions or compound distributions. For example, the distribution of height in a population of children might be expressed as follows: h(height) = fg(height: age)f(age)d age (1. 1) where g(height: age) is the conditional distribution of height on age, and/(age) is the age distribution of the children in the population.

Keywords

estimator fitting likelihood mixture distribution population

Authors and affiliations

  • B. S. Everitt
    • 1
  • D. J. Hand
    • 1
  1. 1.Biometrics Unit, Institute of PsychiatryUniversity of LondonUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-5897-5
  • Copyright Information Springer Science+Business Media B.V. 1981
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-009-5899-9
  • Online ISBN 978-94-009-5897-5
  • Buy this book on publisher's site