Interval estimation of the stress–strength reliability in the two-parameter exponential distribution based on records

DOI10.1080/00949655.2013.816307zbMath1453.62675OpenAlexW2071304999MaRDI QIDQ5219521

Ayman Baklizi

Publication date: 12 March 2020

Published in: Journal of Statistical Computation and Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00949655.2013.816307

zbMATH Keywords

record valuestwo-parameter exponential distributionstress-strength reliabilitygeneralized pivot variablesBayes intervals

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Point estimation (62F10) Estimation in survival analysis and censored data (62N02) Reliability and life testing (62N05)

Related Items (19)

Dynamic stress–strength reliability estimation of system with survival signature ⋮ Estimation of system reliability based on moving extreme and minimax ranked set sampling for exponential distributions ⋮ Inference on stress-strength reliability for the two-parameter exponential distribution based on generalized order statistics ⋮ Inference on stress–strength reliability for exponential distributions with a common scale parameter ⋮ Estimation of common location parameter of two exponential populations based on records ⋮ Point estimation of the stress–strength reliability parameter for parallel system with independent and non-identical components ⋮ Improved estimators for stress-strength reliability using record ranked set sampling scheme ⋮ Estimation of stress-strength reliability in the inverse Gaussian distribution under progressively type II censored data ⋮ Some two-sample tests for simultaneously comparing both parameters of the shifted exponential models ⋮ Estimation of the stress–strength reliability using lower record ranked set sampling scheme under the generalized exponential distribution ⋮ Joint records from two exponential populations and associated inference ⋮ Estimation of $Pr(X<Y)$ for exponential power records ⋮ Improved point and interval estimation of the stress–strength reliability based on ranked set sampling ⋮ Bayes estimation for exponential distributions with common location parameter and applications to multi-state reliability models ⋮ Exact simultaneous location-scale tests for two shifted exponential samples ⋮ On the estimation of stress strength reliability parameter of inverted gamma distribution ⋮ Likelihood and Bayesian estimation of \(P(Y<X)\) using lower record values from a proportional reversed hazard family ⋮ Stress-strength reliability inference for the Pareto distribution with outliers ⋮ Inference on the parameters of two Weibull distributions based on record values

Cites Work

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• Inference on reliability in two-parameter exponential stress-strength model
• Likelihood and Bayesian estimation of \(\mathrm{Pr}(X \leq Y)\) using lower record values from the generalized exponential distribution
• On the estimation of \(Pr\{ Y<X\}\) for the two-parameter exponential distribution
• Generalized Confidence Intervals
• Estimation of Pr(X < Y) Using Record Values in the One and Two Parameter Exponential Distributions
• Estimation and testing ofP(Y > X) in two-parameter exponential distributions

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