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December, 1981 The Natural Median
Dieter Landers, Lothar Rogge
Ann. Probab. 9(6): 1041-1042 (December, 1981). DOI: 10.1214/aop/1176994275


In general the median of a random variable is not uniquely determined. This leads to difficulties in estimation and test theory. This paper suggests a limit process for choosing exactly one median. The choice uses the whole distribution of the random variable in a natural and reasonable way.


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Dieter Landers. Lothar Rogge. "The Natural Median." Ann. Probab. 9 (6) 1041 - 1042, December, 1981.


Published: December, 1981
First available in Project Euclid: 19 April 2007

zbMATH: 0471.60049
MathSciNet: MR632977
Digital Object Identifier: 10.1214/aop/1176994275

Primary: 60G25
Secondary: 62G05

Keywords: approximation , median

Rights: Copyright © 1981 Institute of Mathematical Statistics

Vol.9 • No. 6 • December, 1981
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