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April 1998 Necessary and sufficient conditions for weak consistency of the median of independent but not identically distributed random variables
Ivan Mizera, Jon A. Wellner
Ann. Statist. 26(2): 672-691 (April 1998). DOI: 10.1214/aos/1028144854

Abstract

Necessary and sufficient conditions for the weak consistency of the sample median of independent, but not identically distributed random variables are given and discussed.

Citation

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Ivan Mizera. Jon A. Wellner. "Necessary and sufficient conditions for weak consistency of the median of independent but not identically distributed random variables." Ann. Statist. 26 (2) 672 - 691, April 1998. https://doi.org/10.1214/aos/1028144854

Information

Published: April 1998
First available in Project Euclid: 31 July 2002

zbMATH: 0934.62052
MathSciNet: MR1626091
Digital Object Identifier: 10.1214/aos/1028144854

Subjects:
Primary: 60F05 , 62G30
Secondary: 62E20 , 62G20

Keywords: Empirical distribution function , majorization , median , weak consistency

Rights: Copyright © 1998 Institute of Mathematical Statistics

Vol.26 • No. 2 • April 1998
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