The Annals of Probability

Characterization of Nonparametric Classes of Life Distributions

Naftali A. Langberg, Ramon V. Leon, and Frank Proschan

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Abstract

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.

Article information

Source
Ann. Probab., Volume 8, Number 6 (1980), 1163-1170.

Dates
First available in Project Euclid: 19 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aop/1176994577

Digital Object Identifier
doi:10.1214/aop/1176994577

Mathematical Reviews number (MathSciNet)
MR602389

Zentralblatt MATH identifier
0448.60016

JSTOR
links.jstor.org

Subjects
Primary: 60E10: Characteristic functions; other transforms
Secondary: 62N05: Reliability and life testing [See also 90B25]

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

Citation

Langberg, Naftali A.; Leon, Ramon V.; Proschan, Frank. Characterization of Nonparametric Classes of Life Distributions. Ann. Probab. 8 (1980), no. 6, 1163--1170. doi:10.1214/aop/1176994577. https://projecteuclid.org/euclid.aop/1176994577


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