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

Badía, F.G. (Universidad de Zaragoza) ; Cha, J.H. ; Lee, H. ; Sangüesa, C. (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.1016/j.cam.2023.115748

Año: 2024

Publicado en: Journal of Computational and Applied Mathematics 443 (2024), 115748[7 pp.]
ISSN: 0377-0427

Factor impacto JCR: 2.6 (2024)

Categ. JCR: MATHEMATICS, APPLIED rank: 35 / 343 = 0.102 (2024) - Q1 - T1

Factor impacto SCIMAGO: 0.688 - Computational Mathematics (Q2) - Applied Mathematics (Q2)

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Estadís. Investig. Opera. (Dpto. Métodos Estadísticos)