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January, 1974 Asymptotically Efficient Adaptive Rank Estimates in Location Models
Rudolf Beran
Ann. Statist. 2(1): 63-74 (January, 1974). DOI: 10.1214/aos/1176342613


This paper describes a new construction of uniformly asymptotically efficient rank estimates in the one and two-sample location models. The method adopted differs from van Eeden's (1970) earlier construction in three respects. First, the whole sample, rather than a vanishingly small fraction of the sample, is used in estimating the efficient score function. Secondly, a Fourier series estimator is used for the score function rather than a window estimator. Thirdly, the linearized rank estimates corresponding to the estimated score function provide the uniformly asymptotically efficient location estimates. These estimates are asymptotically efficient over a larger class of distributions than the van Eeden estimates and should approach their asymptotic behavior more rapidly.


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Rudolf Beran. "Asymptotically Efficient Adaptive Rank Estimates in Location Models." Ann. Statist. 2 (1) 63 - 74, January, 1974.


Published: January, 1974
First available in Project Euclid: 12 April 2007

zbMATH: 0284.62016
MathSciNet: MR345295
Digital Object Identifier: 10.1214/aos/1176342613

Primary: 62G35
Secondary: 62G20

Rights: Copyright © 1974 Institute of Mathematical Statistics


Vol.2 • No. 1 • January, 1974
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