Preservation of the log concavity by Bernstein operator with an application to ageing properties of a coherent system

F. G. Badía, J. H. Cha, H. Lee, C. Sangüesa

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we provide a new proof of the preservation of the log concavity by Bernstein operator. It is based on the bivariate characterization of the likelihood ratio order. In addition, we give new conditions under which the previous property leads to preservation of ageing properties in coherent systems with independent and identically distributed components.

Original languageEnglish
Article number115748
JournalJournal of Computational and Applied Mathematics
Volume443
DOIs
StatePublished - Jun 2024

Bibliographical note

Publisher Copyright:
© 2023 Elsevier B.V.

Keywords

  • Ageing properties
  • Bernstein operator
  • Coherent system
  • Log concavity

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