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Inequalities for NBUE and NWUE Life Distributions

Robert L. Launer

Operations Research · 1984 · Volume 32 · Issue 3

DOI: 10.1287/opre.32.3.660

Abstract

This paper presents a procedure for developing reliability inequalities for several known classes of failure distributions. The inequalities are rational functions of the moments and conditional tail moments of the underlying failure distribution. The introduction of four new classes of failure distributions based on the variance behavior facilitates the development of certain inequalities for the NBUE and NWUE distributions.

Keywords

721 inequalities for NBUE and NWUE failure distributions, 725 NBUE and NWUE failure classes

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