Everitt B.S., Hand D.J. Finite Mixture Distributions

Chapman and Hall, 1981. — 149 p.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 research workers in other areas applying such distributions to their data.General introduction
Mixtures of normal distributions
Mixtures of exponential and other continuous distributions
Mixtures of discrete distributions
Miscellaneous topics