Article ID Journal Published Year Pages File Type
1152023 Statistics & Probability Letters 2013 8 Pages PDF
Abstract
A histogram estimate of the Radon-Nikodym derivative of a probability measure with respect to a dominating measure is developed for binary sequences in {0,1}N. A necessary and sufficient condition for the consistency of the estimate in the mean-square sense is given. It is noted that the product topology on {0,1}N and the corresponding dominating product measure pose considerable restrictions on the rate of sampling required for the requisite convergence.
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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