Multivariate aging properties of epoch times of nonhomogeneous processes

DOI10.1016/S0047-259X(02)00064-7zbMath1015.60044MaRDI QIDQ1873115

Felix Belzunce, José-María Ruiz, José-Angel Mercader

Publication date: 19 May 2003

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

epoch timesmultivariate increasing failure ratemultivariate Polya frequency of order 2

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (14)

AGING PROPERTIES OF SEQUENTIAL ORDER STATISTICS ⋮ Minimal repair under a step-stress test ⋮ Extensions of the generalized Pólya process ⋮ Some new results on likelihood ratio ordering and aging properties of generalized order statistics ⋮ Sequential order statistics: ageing and stochastic orderings ⋮ Likelihood ratio comparisons and logconvexity properties ofp-spacings from generalized order statistics ⋮ HR and RHR orderings of generalized order statistics ⋮ Order restricted inference for sequential \(k\)-out-of-\(n\) systems ⋮ On total positivity of exchangeable random variables obtained by symmetrization, with applications to failure-dependent lifetimes ⋮ Sequential order statistics with an order statistics prior ⋮ Univariate and multivariate stochastic comparisons and ageing properties of the generalized Pólya process ⋮ Stochastic comparisons and multivariate dependence for the epoch times of trend renewal processes ⋮ A multivariate IFR notion based on the multivariate dispersive ordering ⋮ MULTIVARIATE STOCHASTIC COMPARISONS OF SEQUENTIAL ORDER STATISTICS

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