On some reliability measures and their stochastic orderings for the Topp–Leone distribution

DOI10.1080/02664760500079613zbMath1121.62374OpenAlexW1977196204MaRDI QIDQ3592026

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Publication date: 11 September 2007

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

Full work available at URL: https://doi.org/10.1080/02664760500079613

zbMATH Keywords

stochastic ordersmean residual lifehazard rateexpected inactivity timereversed hazard rateTopp-Leone distribution

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Order statistics; empirical distribution functions (62G30) Reliability and life testing (62N05)

Related Items (26)

Estimation and prediction for Topp–Leone distribution using double Type-I hybrid censored data ⋮ Estimating the shape parameter of the Topp–Leone distribution based on Type I censored samples ⋮ Bayesian reliability estimation for the Topp-Leone distribution under progressively type-II censored samples ⋮ Bayesian inference for the Topp-Leone distribution based on lower \(k\)-record values ⋮ On moments of dual generalized order statistics from Topp-Leone distribution ⋮ A modification in generalized classes of distributions: A new Topp–Leone class as an example ⋮ On optimal progressive censoring schemes from models with U-shaped hazard rate: a comparison between conventional and fuzzy priors ⋮ Topp-Leone distribution with an application to binomial sampling ⋮ The Topp–Leone odd log-logistic family of distributions ⋮ Reliability estimation in multicomponent stress–strength model for Topp-Leone distribution ⋮ Inference of multicomponent stress-strength reliability following Topp-Leone distribution using progressively censored data ⋮ A new family of Marshall-Olkin extended generalized linear exponential distribution ⋮ A new distribution function with bounded support: the reflected generalized Topp-Leone power series distribution ⋮ Order statistics of generalized Topp-Leone distribution with application to tissue damage proportions in blood ⋮ Moments of order statistics of Topp-Leone distribution ⋮ Topp–Leone generated family of distributions: Properties and applications ⋮ On the moments of order statistics coming from the Topp-Leone distribution ⋮ Unnamed Item ⋮ Estimation ofP(X>Y) with Topp–Leone distribution ⋮ Unnamed Item ⋮ The Topp-Leone generalized odd log-logistic family of distributions: properties, characterizations and applications ⋮ The odd log-logistic Topp-Leone G family of distributions: heteroscedastic regression models and applications ⋮ Likelihood and Bayesian estimation of \(P(Y<X)\) using lower record values from a proportional reversed hazard family ⋮ A new family of Marshall-Olkin extended distributions ⋮ Admissible minimax estimators for the shape parameter of Topp–Leone distribution ⋮ An extension of J-shaped distribution with application to tissue damage proportions in blood

Cites Work

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• SOME RESULTS ON REVERSED HAZARD RATE
• Moments of some J-shaped distributions
• Inference Based on Retrospective Ascertainment: An Analysis of the Data on Transfusion-Related AIDS
• Mean residual life function for certain types of non-monotonic ageing
• The Reversed Hazard Rate Function
• A Family of J-Shaped Frequency Functions

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