Second order analysis of two-stage rank tests for the one-sample problem

Willem Albers

doi:10.1214/aos/1176348136

Second order analysis of two-stage rank tests for the one-sample problem

Willem Albers

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Abstract

In this paper we present a rank analogue to Stein's two-stage procedure. We analyze its behavior to second order using existing asymptotic expansions for fixed sample size rank tests and recent results on combinations of independent rank statistics.

Original language	English
Pages (from-to)	1042-1052
Number of pages	11
Journal	Annals of statistics
Volume	0
Issue number	19
DOIs	https://doi.org/10.1214/aos/1176348136
Publication status	Published - 1991

Keywords

Stein's two-stage procedure
One-sample problem
Asymptotic expansion

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title = "Second order analysis of two-stage rank tests for the one-sample problem",

abstract = "In this paper we present a rank analogue to Stein's two-stage procedure. We analyze its behavior to second order using existing asymptotic expansions for fixed sample size rank tests and recent results on combinations of independent rank statistics.",

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KW - One-sample problem

KW - Asymptotic expansion

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DO - 10.1214/aos/1176348136

M3 - Article

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JO - Annals of statistics

JF - Annals of statistics

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Second order analysis of two-stage rank tests for the one-sample problem

Abstract

Keywords

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