Marginal Distributions of the Counting Process Associated with Generalized Order Statistics

DOI10.1080/03610920902846513zbMath1167.62047OpenAlexW2009299150MaRDI QIDQ3391853

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Publication date: 13 August 2009

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920902846513

zbMATH Keywords

generalized order statisticscounting processtransition probabilitynonhomogeneous pure birth process

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Probability distributions: general theory (60E05) Inference from stochastic processes (62M99) Applications of hypergeometric functions (33C90)

Related Items (11)

Multivariate testing and model-checking for generalized order statistics with applications ⋮ Distances between models of generalized order statistics ⋮ Sharp inequalities for quantiles of system lifetime distributions from failure-dependent proportional hazard model ⋮ STOCHASTIC COMPARISONS OF SYSTEMS BASED ON SEQUENTIAL ORDER STATISTICS VIA PROPERTIES OF DISTORTED DISTRIBUTIONS ⋮ Representations of component importance for coherent systems with exchangeable components ⋮ Point Processes with a Generalized Order Statistic Property ⋮ Dynamic Signatures of Coherent Systems Based on Sequential Order Statistics ⋮ Meta-analysis of general step-stress experiments under repeated type-II censoring ⋮ From B-spline representations to gamma representations in hybrid censoring ⋮ Type-I censored sequential \(k\)-out-of-\(n\) systems ⋮ Type-I hybrid censoring of multiple samples

Cites Work

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• Markov property of point processes
• Marginal distributions of sequential and generalized order statistics
• Unimodality of uniform generalized order statistics, with applications to mean bounds
• A concept of generalized order statistics
• The special functions and their approximations. Vol. I, II
• On distributions Of generalized order statistics
• Dependence structure of generalized order statistics
• Closure and Monotonicity Properties of Nonhomogeneous Poisson Processes and Record Values
• Characterizations of exponential distributions by spacings of generalized order statistics
• On record values and record times
• The structure of elementary pure birth processes

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