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June, 1985 A Constrained Formulation of Maximum-Likelihood Estimation for Normal Mixture Distributions
Richard J. Hathaway
Ann. Statist. 13(2): 795-800 (June, 1985). DOI: 10.1214/aos/1176349557

Abstract

The method of maximum likelihood leads to an ill-posed optimization problem in the case of a mixture of normal distributions. Estimation in the univariate case is reformulated using simple constraints into an optimization problem having a strongly consistent, global solution.

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Richard J. Hathaway. "A Constrained Formulation of Maximum-Likelihood Estimation for Normal Mixture Distributions." Ann. Statist. 13 (2) 795 - 800, June, 1985. https://doi.org/10.1214/aos/1176349557

Information

Published: June, 1985
First available in Project Euclid: 12 April 2007

zbMATH: 0576.62039
MathSciNet: MR790575
Digital Object Identifier: 10.1214/aos/1176349557

Subjects:
Primary: 62F10
Secondary: 62F12

Rights: Copyright © 1985 Institute of Mathematical Statistics

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Vol.13 • No. 2 • June, 1985
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