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

doi:10.1016/j.cam.2023.115748

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

Department of Statistics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 language	English
Article number	115748
Journal	Journal of Computational and Applied Mathematics
Volume	443
DOIs	https://doi.org/10.1016/j.cam.2023.115748
State	Published - Jun 2024

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Publisher Copyright:
© 2023 Elsevier B.V.

Keywords

Ageing properties
Bernstein operator
Coherent system
Log concavity

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10.1016/j.cam.2023.115748

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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.",

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

Abstract

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Keywords

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