Unbiased estimation ofP(X>Y) for two-parameter exponential populations using order statistics

DOI10.1080/02331880903546431zbMath1283.62017OpenAlexW2090897663MaRDI QIDQ5402590

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Publication date: 14 March 2014

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331880903546431

zbMATH Keywords

order statisticsunbiased estimationexponential population

Mathematics Subject Classification ID

Point estimation (62F10) Sampling theory, sample surveys (62D05)

Related Items (7)

Inference on stress–strength reliability for exponential distributions with a common scale parameter ⋮ A copula-based approach to account for dependence in stress-strength models ⋮ A stress-strength model with dependent variables to measure household financial fragility ⋮ Likelihood and Bayesian estimation of \(P(Y<X)\) using lower record values from a proportional reversed hazard family ⋮ On estimation of \(P(X > Y)\) based on judgement post stratification ⋮ Stress-strength based on \(m\)-generalized order statistics and concomitant for dependent families. ⋮ Reliability estimation in stress–strength models: an MCMC approach

Cites Work

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• 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
• Unbiased Estimation of the Distribution Function of an Exponential Population Using Order Statistics with Application in Ranked Set Sampling
• Unbiased Estimation ofP(X > Y) for Exponential Populations Using Order Statistics with Application in Ranked Set Sampling
• Estimation and testing ofP(Y > X) in two-parameter exponential distributions

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