A note on likelihood ratio ordering between parallel systems with two exponential components

Emanuel Emanouilidisa, Jiantian Wang

Research output: Contribution to journalArticlepeer-review

Abstract

With the aid of computer programming, we obtain a result on stochastic comparison of the lifetime of two parallel systems with two exponential components in terms of likelihood ratio ordering. This result reveals a more comprehensive picture on stochastic ordering between parallel systems and thus provides a relatively satisfied answer to an open problem raised in [N. Balakrishnan, P. Zhao, Probab. Engrg. Inform. Sci., 27 (2013), 403–443].

Original languageEnglish
Pages (from-to)251-257
Number of pages7
JournalJournal of Mathematics and Computer Science
Volume19
Issue number4
DOIs
StatePublished - 2019

Keywords

  • likelihood ratio order
  • Parallel system
  • stochastic comparison

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