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2010•Theory of Probability and Its ApplicationsRequires access

On Some Goodness-of-Fit Tests Based on Estimates of Kernel-Type Distribution Densities

É. A. Nadaraya, Grigol Sokhadze, Petre Babilua

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Abstract

A goodness-of-fit test is constructed by using a Wolverton–Wagner distribution density estimate. The question as to its consistency is studied. The power asymptotics of the constructed goodness-of-fit test is also studied for certain types of close alternatives.

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What this paper is about

A goodness-of-fit test is constructed by using a Wolverton–Wagner distribution density estimate. The question as to its consistency is studied. The power asymptotics of the constructed goodness-of-fit test is also studied for certain types of close alternatives.

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Available abstract

A goodness-of-fit test is constructed by using a Wolverton–Wagner distribution density estimate. The question as to its consistency is studied. The power asymptotics of the constructed goodness-of-fit test is also studied for certain types of close alternatives.

Key concepts: Goodness of fit, Mathematics, Consistency (knowledge bases), Statistics, Kernel density estimation, Anderson–Darling test, Kernel (algebra), Type (biology)

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