The NBUT class of life distributions

Ibrahim A. Ahmad, Mohamed Kayid, Xiaohu Li

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

A new class of life distributions, namely new better than used in the total time on test transform ordering (NBUT), is introduced. The relationship of this class to other classes of life distributions, and closure properties under some reliability operations, are discussed. We provide a simple argument based on stochastic orders that the family of the NBUT distribution class is closed under the formation of series systems in case of independent identically distributed components. Behavior of this class is developed in terms of the monotonicity of the residual life of k-out-of-n systems given the time at which the (n - k)-th failure has occurred. Finally, we discuss testing exponentially against the NBUT aging property.

Original languageEnglish
Pages (from-to)396-401
Number of pages6
JournalIEEE Transactions on Reliability
Volume54
Issue number3
DOIs
StatePublished - Sep 2005

Keywords

  • Increasing concave order
  • K out-of-n systems
  • Life testing
  • Mixing
  • Random minima
  • Series system
  • Stochastic order
  • TTT transform order

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