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."
General
Imprint: |
Springer
|
Country of origin: |
Netherlands |
Series: |
Monographs on Statistics and Applied Probability |
Release date: |
October 2011 |
First published: |
1981 |
Authors: |
B. Everitt
|
Dimensions: |
216 x 140 x 14mm (L x W x T) |
Format: |
Paperback
|
Pages: |
143 |
Edition: |
Softcover reprint of the original 1st ed. 1981 |
ISBN-13: |
978-9400958999 |
Categories: |
Books >
Reference & Interdisciplinary >
Interdisciplinary studies >
General
|
LSN: |
9400958994 |
Barcode: |
9789400958999 |
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