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September, 1986 The Efficiency of Good's Nonparametric Coverage Estimator
Warren W. Esty
Ann. Statist. 14(3): 1257-1260 (September, 1986). DOI: 10.1214/aos/1176350066

Abstract

The asymptotic efficiency of Good's nonparametric coverage estimator is obtained relative to the best estimator derived under the assumption that all classes are equally likely. Even when that assumption is true, Good's estimator is quite efficient, with an asymptotic relative efficiency of greater than 85% in all cases, and greater than 95% if the expected coverage is less than one-half.

Citation

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Warren W. Esty. "The Efficiency of Good's Nonparametric Coverage Estimator." Ann. Statist. 14 (3) 1257 - 1260, September, 1986. https://doi.org/10.1214/aos/1176350066

Information

Published: September, 1986
First available in Project Euclid: 12 April 2007

zbMATH: 0603.62051
MathSciNet: MR856822
Digital Object Identifier: 10.1214/aos/1176350066

Subjects:
Primary: 62G20
Secondary: 62F12

Keywords: coverage , occupancy problem , total probability , unobserved species

Rights: Copyright © 1986 Institute of Mathematical Statistics

Vol.14 • No. 3 • September, 1986
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