Estimation and testing ofP(Y > X) in two-parameter exponential distributions

DOI10.1080/02331880500274031zbMath1089.62114OpenAlexW2076514999MaRDI QIDQ5475302

M. Masoom Ali, Jungsoo Woo, Manisha Pal

Publication date: 16 June 2006

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331880500274031

zbMATH Keywords

reliabilityexponential distributionUMVUE

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Estimation in survival analysis and censored data (62N02) Reliability and life testing (62N05)

Related Items (10)

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 ⋮ Stress-strength reliability estimation for exponentially distributed system with common minimum guarantee time ⋮ Some two-sample tests for simultaneously comparing both parameters of the shifted exponential models ⋮ 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 ⋮ Unbiased estimation ofP(X>Y) for two-parameter exponential populations using order statistics ⋮ A Note on Estimation of Stress-Strength Reliability under Generalized Uniform Distribution when Strength Stochastically Dominates Stress ⋮ Bayesian inference for \(\mathrm{Pr}(Y<X)\) in the exponential distribution based on records ⋮ Interval estimation of the stress–strength reliability in the two-parameter exponential distribution based on records

Cites Work

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• Unbiased estimators of \(P(X<Y)\) and their variances in the case of uniform and two-parameter exponential distributions
• On estimating P(X > Y) for the exponential distribution
• Inference on p{y<x} in the weibull case
• A Note on the Estimation of Pr Y < X in the Exponential Case
• Efficient Estimation of P(Y < X) in the Exponential Case
• EstimatingP{X>Y} In Exponential Model

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