A multivariate IFR notion based on the multivariate dispersive ordering

DOI10.1002/asmb.760zbMath1224.90048OpenAlexW4237894523MaRDI QIDQ3077475

Olga Núñcez-Barrera, Alfonso Suárez-Llorens, J. Pablo Arias-Nicolás, Felix Belzunce

Publication date: 22 February 2011

Published in: Applied Stochastic Models in Business and Industry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/asmb.760

zbMATH Keywords

truncationgeneralized order statisticssurvival copulaClayton-Oakes modelincreasing failure rate distributionmultivariate failure ratemultivariate dispersion

Mathematics Subject Classification ID

Measures of association (correlation, canonical correlation, etc.) (62H20) Order statistics; empirical distribution functions (62G30) Reliability, availability, maintenance, inspection in operations research (90B25) Reliability and life testing (62N05)

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Cites Work

• Unnamed Item
• Unnamed Item
• Descriptive statistics for multivariate distributions
• A vector multivariate hazard rate
• An introduction to copulas. Properties and applications
• Multivariate dispersion orderings
• Characterizations of the IFR and DFR aging notions by means of the dispersive order
• A multivariate dispersion ordering based on quantiles more widely separated
• Multivariate aging properties of epoch times of nonhomogeneous processes
• A concept of generalized order statistics
• On multivariate dispersion orderings based on the standard construction
• Limiting dependence structures for tail events, with applications to credit derivatives
• Copulas with Truncation-Invariance Property
• A multivariate IFR class
• The Failure and Hazard Processes in Multivariate Reliability Systems
• Monotone failure rates for multivariate distributions
• A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence
• SOME RESULTS ON TRUNCATION DEPENDENCE INVARIANT CLASS OF COPULAS
• STOCHASTIC COMPARISONS OF GENERALIZED ORDER STATISTICS
• Multivariate Imperfect Repair
• Truncation invariant dependence structures
• Two Variability Orders
• MULTIVARIATE DISPERSION ORDER AND THE NOTION OF COPULA APPLIED TO THE MULTIVARIATE t-DISTRIBUTION
• A Multivariate Definition for Increasing Hazard Rate Distribution Functions
• Bivariate Failure Rate
• Dependence and Aging Aspects of Multivariate Survival
• On the preservation of copula structure under truncation