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Back-to-back mixtures of discrete distributions
Authors:Paul S. Horn
Affiliation:Department of Mathematical Sciences, Mail Location #25, University of Cincinnati, Cincinnati, OH 45221, USA
Abstract:A method for expanding the choices for fits of discrete data is given. The method is very simple: a breakpoint is chosen for the data set on either side of which two separate discrete distributions are fit. Thus, the method is a mixture of two discrete distributions. The method is appealing in light of the ease with which the likelihood equations simplify. For illustrative purposes, the method is used on the data set that motivated its conception.
Keywords:Primary 62P99  Secondary 62E10  Discrete random variable  Mixture model
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