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The Geometry of Mixture Likelihoods, Part II: The Exponential Family

The Annals of StatisticsPublished 1 September 1983Open access
Bruce G. Lindsay
Citations210
SJR quartileQ1
SJR score4.77
SNIP3.13
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Abstract

Geometric analysis of the mixture likelihood set for univariate exponential family densities yields results which tie the number and location of support points for the nonparametric maximum likelihood estimator of the mixing distribution to sign changes in certain integrated polynomials. One corollary is a very general uniqueness theorem for the estimator.

Keywords

Computer ScienceMathematics