Conditions on unimodality and logconcavity for densities of coherent systems with an application to Bernstein operators

DOI10.1016/j.jmaa.2018.07.054zbMath1494.60018OpenAlexW2883337737MaRDI QIDQ1664468

Tomasz Rychlik, Marco Burkschat, Mariusz Bieniek

Publication date: 27 August 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.07.054

zbMATH Keywords

signatureBernstein polynomialvariation diminishing propertycoherent systemunimodalitylogconcavity

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Reliability and life testing (62N05)

Related Items (2)

Preservation of distributional properties of component lifetimes by system lifetimes ⋮ Log concavity preservation by beta operator based on probability tools

Cites Work

• Unnamed Item
• Unnamed Item
• On the preservation of log convexity and log concavity under some classical Bernstein-type operators
• Logconcavity versus logconvexity: A complete characterization
• A note on closure of the ILR and DLR classes under formation of coherent systems
• Mathematical reliability: an expository perspective.
• Log-concavity for Bernstein-type operators using stochastic orders
• Life distributions. Structure of nonparametric, semiparametric, and parametric families.
• System signatures and their applications in engineering reliability
• Log-concave probability and its applications
• The Kruskal-Katona Theorem and a Characterization of System Signatures
• On the Number of Component Failures in Systems Whose Component Lives are Exchangeable
• Distribution functions and log-concavity
• Coherent structures and unimodality
• Convolutions and generalization of logconcavity: Implications and applications
• On unimodality of the lifetime distribution of coherent systems with failure-dependent component lifetimes
• A Note on Strong Unimodality of Order Statistics
• Computations of Signatures of Coherent Systems with Five Components
• Inequalities for Linear Combinations of Order Statistics from Restricted Families
• Unimodality of the Distribution of an Order Statistic

This page was built for publication: Conditions on unimodality and logconcavity for densities of coherent systems with an application to Bernstein operators