Stochastic comparison on active redundancy allocation to K-out-of-N systems with statistically dependent component and redundancy lifetimes

DOI10.1017/apr.2022.70OpenAlexW4372300907MaRDI QIDQ6198064

Publication date: 20 February 2024

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/apr.2022.70

zbMATH Keywords

likelihood ratio order completely monotone majorization Archimedean copula usual stochastic order reversed hazard rate order multivariate mixture left tail permutation decreasing

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Statistics (62-XX) Reliability, availability, maintenance, inspection in operations research (90B25)

Related Items (1)

Redundancy mechanisms to systems with statistically dependent component and redundancy lifetimes

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Stochastic comparisons of generalized mixtures and coherent systems
The optimal allocation of active redundancies to \(k\)-out-of-\(n\) systems with respect to hazard rate ordering
On optimal allocation of redundant components for series and parallel systems of two dependent components
Stochastic comparisons for time transformed exponential models
Some new notions of dependence with applications in optimal allocation problems
An introduction to copulas.
Relative ageing of (\(n - k + 1\))-out-of-\(n\) systems
Some new stochastic comparisons for redundancy allocations in series and parallel systems
Stochastic comparisons of multivariate mixture models
Moment and geometric probability inequalities arising from arrangement increasing functions
Multivariate arrangement increasing functions with applications in probability and statistics
Functions decreasing in transposition and their applications in ranking problems
Archimedean copulae and positive dependence
Optimal reinsurance in relation to ordering of risks
Optimal allocation of redundancies in series systems
Stochastic orders in reliability and risk. In honor of Professor Moshe Shaked. Based on the talks presented at the international workshop on stochastic orders in reliability and risk management, SORR2011, Xiamen, China, June 27--29, 2011
Optimal allocation of active redundancies in \(r\)-out-of-\(n\) systems
A note on relationships between some univariate stochastic orders and the corresponding joint stochastic orders
Notions of multivariate dependence and their applications in optimal portfolio selections with dependent risks
On allocation of redundant components for systems with dependent components
System signatures and their applications in engineering reliability
Optimal capital allocations to interdependent actuarial risks
Some notions of multivariate positive dependence
Active Redundancy Allocation in Coherent Systems
On the application and extension of system signatures in engineering reliability
Optimal Allocation of Active Redundancies to k-out-of-n Systems with Heterogeneous Components
Optimal Allocation of Active Spares in Series Systems and Comparison of Component and System Redundancies
Stochastic order for redundancy allocations in series and parallel systems
Reliability of a k-out-of-n warm-standby system
Optimal allocation of resources to nodes of parallel and series systems
Some results on the relative ageing of two life distributions
On redundancy allocations in systems
Allocating active redundancies to k‐out‐of‐n reliability systems with permutation monotone component lifetimes
On allocating one active redundancy to coherent systems with dependent and heterogeneous components' lifetimes
On matched active redundancy allocation for coherent systems with statistically dependent component lifetimes
Families of Multivariate Distributions
Ordering k-out-of-n systems with interdependent components and one active redundancy
Permutation Monotone Functions of Random Vectors with Applications in Financial and Actuarial Risk Management
On Allocation of Active Redundancies to Systems: A Brief Review
Inequalities: theory of majorization and its applications

This page was built for publication: Stochastic comparison on active redundancy allocation to K-out-of-N systems with statistically dependent component and redundancy lifetimes