In this paper we obtain characterizations of large classes of nonparametric life distributions, such as the increasing (decreasing) failure rate, increasing (decreasing failure rate average, new better (worse) than used, etc., classes. The methods used differ from the usual functional equation methods used for the far more common characterizations of parametric families of life distributions.
Publié le : 1980-12-14
Classification:
Characterizations,
life distributions,
order statistics,
spacings,
total time on test transform,
nonparametric,
Lorenz curve,
reliability,
failure rate,
60E10,
62N05
@article{1176994577,
author = {Langberg, Naftali A. and Leon, Ramon V. and Proschan, Frank},
title = {Characterization of Nonparametric Classes of Life Distributions},
journal = {Ann. Probab.},
volume = {8},
number = {6},
year = {1980},
pages = { 1163-1170},
language = {en},
url = {http://dml.mathdoc.fr/item/1176994577}
}
Langberg, Naftali A.; Leon, Ramon V.; Proschan, Frank. Characterization of Nonparametric Classes of Life Distributions. Ann. Probab., Tome 8 (1980) no. 6, pp. 1163-1170. http://gdmltest.u-ga.fr/item/1176994577/