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• W1664563393 abstract "<!-- *** Custom HTML *** --> We consider the non-parametric maximum likelihood estimation in the class of Polya frequency functions of order two, viz. the densities with a concave logarithm. This is a subclass of unimodal densities and fairly rich in general. The NPMLE is shown to be the solution to a convex programming problem in the Euclidean space and an algorithm is devised similar to the iterative convex minorant algorithm by Jongbleod (1999). The estimator achieves Hellinger consistency when the true density is a PFF$_2$ itself." @default.
• W1664563393 created "2016-06-24" @default.
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• W1664563393 date "2007-01-01" @default.
• W1664563393 modified "2023-10-16" @default.
• W1664563393 title "Estimating a Polya frequency function$_2$" @default.
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• W1664563393 doi "https://doi.org/10.1214/074921707000000184" @default.
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