Some new results involving the NBU(2) class of life distributions

Xiaohu Li, Subhash C. Kochar

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

Some new results about the NBU(2) class of life distributions are obtained. Firstly, it is proved that the decreasing with time of the increasing concave ordering of the excess lifetime in a renewal process leads to the NBU(2) property of the interarrivai times. Secondly, the NBU(2) class of life distributions is proved to be closed under the formation of series systems. Finally, it is also shown that the NBU(2) class is closed under convolution operation.

Original languageEnglish
Pages (from-to)242-247
Number of pages6
JournalJournal of Applied Probability
Volume38
Issue number1
DOIs
StatePublished - Mar 2001

Keywords

  • Convolution
  • Excess lifetime
  • NBU(2)
  • Series systems

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