Bayesian inference for \(\mathrm{Pr}(Y

DOI10.1016/j.apm.2013.09.003zbMath1428.62440OpenAlexW2022505478MaRDI QIDQ1994482

Ayman Baklizi

Publication date: 1 November 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.09.003

zbMATH Keywords

exponential distributionrecord valuesBayesian estimationMarkov chain Monte Carlo methodsstress-strength reliability

Mathematics Subject Classification ID

Bayesian inference (62F15) Estimation in survival analysis and censored data (62N02) Reliability and life testing (62N05)

Related Items (11)

Estimation of reliability P(X > Y) for distributions with power hazard function based on upper record values ⋮ Inference on stress-strength reliability for the two-parameter exponential distribution based on generalized order statistics ⋮ Stress-strength reliability estimation for exponentially distributed system with common minimum guarantee time ⋮ Interval estimation of multicomponent stress-strength reliability based on inverse Weibull distribution ⋮ Estimation of stress-strength reliability in the inverse Gaussian distribution under progressively type II censored data ⋮ Bayes estimation for exponential distributions with common location parameter and applications to multi-state reliability models ⋮ Estimation of the stress-strength reliability for the two-parameter bathtub-shaped lifetime distribution based on upper record values ⋮ Likelihood and Bayesian estimation of \(P(Y<X)\) using lower record values from a proportional reversed hazard family ⋮ Inference for the generalized exponential stress-strength model ⋮ Stress-strength reliability estimation under the standard two-sided power distribution ⋮ Stress-strength reliability inference for the Pareto distribution with outliers

Cites Work

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• Shrinkage estimation of \(P(X<Y)\) in the exponential case with common location parameter
• 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
• Unbiased estimators of \(P(X<Y)\) and their variances in the case of uniform and two-parameter exponential distributions
• Estimation of Pr( x<y ) in the exponential case with common location parameter
• Estimation of p{y_p> max(y₁, y₂, …, y_p-1)}in theexponential case
• Estimating P[X>Y from exponential samples containing spurious observations]
• 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
• Estimation of the Probability that Y < X

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