The Geometry of Mixture Likelihoods, Part II: The Exponential Family
Bruce G. Lindsay · The Annals of Statistics · 1983
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.