The Natural Median

Dieter Landers; Lothar Rogge

doi:10.1214/aop/1176994275

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Home > Journals > Ann. Probab. > Volume 9 > Issue 6 > Article

December, 1981 The Natural Median

Dieter Landers, Lothar Rogge

Ann. Probab. 9(6): 1041-1042 (December, 1981). DOI: 10.1214/aop/1176994275

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Abstract

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.