Open Access
December, 1980 Characterization of Nonparametric Classes of Life Distributions
Naftali A. Langberg, Ramon V. Leon, Frank Proschan
Ann. Probab. 8(6): 1163-1170 (December, 1980). DOI: 10.1214/aop/1176994577


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.


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Naftali A. Langberg. Ramon V. Leon. Frank Proschan. "Characterization of Nonparametric Classes of Life Distributions." Ann. Probab. 8 (6) 1163 - 1170, December, 1980.


Published: December, 1980
First available in Project Euclid: 19 April 2007

zbMATH: 0448.60016
MathSciNet: MR602389
Digital Object Identifier: 10.1214/aop/1176994577

Primary: 60E10
Secondary: 62N05

Keywords: characterizations , failure rate , life distributions , Lorenz curve , nonparametric , order statistics , reliability , spacings , total time on test transform

Rights: Copyright © 1980 Institute of Mathematical Statistics

Vol.8 • No. 6 • December, 1980
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