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Nonparametric adaptive likelihood weights
Authors:Jean‐Franois Plante
Abstract:The weighted likelihood can be used to make inference about one population when data from similar populations are available. The author shows heuristically that the weighted likelihood can be seen as a special case of the entropy maximization principle. This leads him to propose the minimum averaged mean squared error (MAMSE) weights. He describes an algorithm for calculating these weights and shows its convergence using the Kuhn‐Tucker conditions. He explores the performance and properties of the weighted likelihood based on MAMSE weights through simulations.
Keywords:Borrowing strength  Kuhn‐Tucker conditions  likelihood method  nonparametric inference  nonparametric weights  weighted likelihood
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