Necessary and sufficient conditions for weak consistency of the median of independent but not identically distributed random variables

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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.

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Mizera, I., & Wellner, J. A. (1998). Necessary and sufficient conditions for weak consistency of the median of independent but not identically distributed random variables. Annals of Statistics, 26(2), 672–691. https://doi.org/10.1214/aos/1028144854

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