Some new results involving the NBU(2) class of life distributions

DOI10.1239/jap/996986658zbMath0974.62011OpenAlexW1993075497MaRDI QIDQ2731166

Xiaohu Li, Subhash C. Kochar

Publication date: 16 December 2001

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

Full work available at URL: https://doi.org/10.1239/jap/996986658

zbMATH Keywords

convolutionclosure propertiesseries systemsexcess lifetimeNBU(2)

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Reliability and life testing (62N05)

Related Items (17)

Preservation of increasing convex/concave order under the formation of parallel/series system of dependent components ⋮ Some bounds related to Harris family of distributions ⋮ Weak aging properties for coherent systems with statistically dependent component lifetimes ⋮ Generalized Marshall-Olkin distributions and related bivariate aging properties ⋮ Some preservation results of NBUC aging property with applications ⋮ The additive hazard mixing models ⋮ Negative dependence in frailty models ⋮ Reversed preservation properties of some negative aging conceptions and stochastic orders ⋮ Some properties of ageing notions based on the moment-generating-function order ⋮ PRESERVATIONS OF NBUC AND NBU(2) CLASSES UNDER MIXTURES ⋮ Some results on generalized ageing classes ⋮ On the Mixture of Proportional Odds Models ⋮ Generalized orderings of excess lifetimes of renewal processes ⋮ Exact results and bounds for the joint tail and moments of the recurrence times in a renewal process ⋮ Closure of NBU(2) class under the formation of parallel systems ⋮ An aging notion derived from the increasing convex ordering: the NBUCA class ⋮ A new aging concept derived from the increasing convex ordering

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