Estimating component cumulative distribution functions in finite mixture models

Abstract

We propose a method of estimating component distribution functions (cdfs) in finite mixture distributions without specifying a parametric form on the true underlying cdfs. As a result, we develop estimators of the component parameters based on these estimated cdfs. This method requires a vector of observations on each subject and involves discretizing the original data into multinomial bins. This results in a mixture of multinomial distributions which has the same mixing proportions as the original mixture. The methods are illustrated on a data set from cognitive psychology.

Publication
In Communications in Statistics - Theory and Methods
Date
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Ryan Elmore
Assistant Professor