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1980•Statistica NeerlandicaRequires access

A large deviation result for the difference in sample medians

P. V. Rao, Dennis D. Wackerly

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Abstract

Abstract LetXmandYndenote the medians of independent samples from continuous populations Fand Grespectively. In Theorem 1 of this note, a large deviation result for the difference dmn= Xm‐ Ynis established under the assumption that Fand Garc symmetric about 0. The result is then used to define a sequential rule based on medians for selecting the best of Ksymmetric populations.

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What this paper is about

Abstract LetXmandYndenote the medians of independent samples from continuous populations Fand Grespectively. In Theorem 1 of this note, a large deviation result for the difference dmn= Xm‐ Ynis established under the assumption that Fand Garc symmetric about 0. The result is then used to define a sequential rule based on medians for selecting the best of Ksymmetric populations.

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Available abstract

Abstract LetXmandYndenote the medians of independent samples from continuous populations Fand Grespectively. In Theorem 1 of this note, a large deviation result for the difference dmn= Xm‐ Ynis established under the assumption that Fand Garc symmetric about 0. The result is then used to define a sequential rule based on medians for selecting the best of Ksymmetric populations.

Key concepts: Median, Mathematics, Sample mean and sample covariance, Statistics, Combinatorics, Sample (material), Standard deviation, Geometry

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