Journal of Multivariate Analysis
On the Newton Polytope of the Resultant
Journal of Algebraic Combinatorics: An International Journal
A polyhedral method for solving sparse polynomial systems
Mathematics of Computation
Maximum likelihood estimation of isotonic normal means with unknown variances
Journal of Multivariate Analysis
Counting and locating the solutions of polynomial systems of maximum likelihood equations, I
Journal of Symbolic Computation
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Estimation of parameters in linear fixed and mixed effects models, under order restrictions on the error variances, is considered in this article. For simplicity of exposition, we shall assume that the error variances are subject to simple order restriction. Similar methodology can be developed for other forms of order restrictions as well.