Further Results Involving the Mean Time to Failure Order, and the Decreasing Mean Time to Failure Class

Author

Kayid, M. ; Ahmad, I.A. ; Izadkhah, S. ; Abouammoh, A.M.

Author_Institution

Dept. of Stat. & Oper. Res., King Saud Univ., Riyadh, Saudi Arabia

Volume

62

Issue

3

fYear

2013

fDate

Sept. 2013

Firstpage

670

Lastpage

678

Abstract

The purpose of this paper is to enhance the study of the mean time to failure (MTTF) order in an age replacement model, and the decreasing mean time to failure (DMTTF) class of life distributions. We present new characterizations of the MTTF order in terms of the well-known hazard rate and reversed hazard rate orders. Preservation properties of this order under some reliability operations such as monotonic transformations, mixture, and weighted distributions are investigated. In this context, we provide new results related to the DMTTF class. Finally, the problem of testing exponentiality against such class is discussed, and some numerical results are presented.

Keywords

failure analysis; life testing; reliability theory; DMTTF class; MTTF order; age replacement model; decreasing mean time-to-failure class; exponentiality testing; life distributions; mean time-to-failure order; mixture; monotonic transformations; preservation properties; reliability operations; reversed hazard rate order; weighted distributions; Aging; Educational institutions; Hazards; Random variables; Reliability; Stochastic processes; Testing; Decreasing mean time to failure class; hazard rate order; life testing; mean time to failure order; mixture; reversed hazard rate order;

fLanguage

English

Journal_Title

Reliability, IEEE Transactions on

Publisher

ieee

ISSN

0018-9529

Type

jour

DOI

10.1109/TR.2013.2270423

Filename

6550910