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Monographs on Statistics and Applied Probability

# Finite Mixture Distributions

Authors: Everitt, B.

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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 reĀ­ 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.

• General introduction

Pages 1-23

Everitt, B. S. (et al.)

• Mixtures of normal distributions

Pages 25-57

Everitt, B. S. (et al.)

• Mixtures of exponential and other continuous distributions

Pages 59-87

Everitt, B. S. (et al.)

• Mixtures of discrete distributions

Pages 89-105

Everitt, B. S. (et al.)

• Miscellaneous topics

Pages 107-127

Everitt, B. S. (et al.)

eBook $84.99 price for USA in USD • ISBN 978-94-009-5897-5 • Digitally watermarked, DRM-free • Included format: PDF • ebooks can be used on all reading devices • Immediate eBook download after purchase Softcover$109.99
price for USA in USD
• ISBN 978-94-009-5899-9
• Free shipping for individuals worldwide
• Immediate ebook access, if available*, with your print order
• Usually dispatched within 3 to 5 business days.

## Bibliographic Information

Bibliographic Information
Book Title
Finite Mixture Distributions
Authors
Series Title
Monographs on Statistics and Applied Probability
1981
Publisher
Springer Netherlands
B.S. Everitt and D.J. Hand
eBook ISBN
978-94-009-5897-5
DOI
10.1007/978-94-009-5897-5
Softcover ISBN
978-94-009-5899-9
Edition Number
1
Number of Pages
XII, 143
Topics

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