Necessary and sufficient conditions for the weak consistency of the sample median of independent, but not identically distributed random variables are given and discussed.
Publié le : 1998-04-14
Classification:
Median,
weak consistency,
empirical distribution function,
majorization,
60F05,
62G30,
62G20,
62E20
@article{1028144854,
author = {Mizera, Ivan and Wellner, Jon A.},
title = {Necessary and sufficient conditions for weak consistency of the median of independent but not identically distributed random variables},
journal = {Ann. Statist.},
volume = {26},
number = {3},
year = {1998},
pages = { 672-691},
language = {en},
url = {http://dml.mathdoc.fr/item/1028144854}
}
Mizera, Ivan; Wellner, Jon A. Necessary and sufficient conditions for weak consistency of the median of independent but not identically distributed random variables. Ann. Statist., Tome 26 (1998) no. 3, pp. 672-691. http://gdmltest.u-ga.fr/item/1028144854/