Isotonic estimation for grouped data

Michael Woodroofe and Rong Zhang

Statistics & Probability Letters, 1999, vol. 45, issue 1, 41-47

Abstract: A non-parametric estimator of a non-increasing density is found in a class of piecewise linear functions when the data consist only of counts. An EM-Algorithm for computing the estimator is developed, and the iterates in the algorithm are shown to converge to the maximum likelihood estimator. Potential applications to distance sampling models are described and illustrated with a numerical example.

Keywords: Counts; Distance; sampling; EM-Algorithm; Maximum; likelihood; estimation (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (1)

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