Some improvements on the Birnbaum-McCarty bound for \(P(Y

DOI10.1016/0167-7152(84)90002-6zbMath0544.62047OpenAlexW2020277553MaRDI QIDQ796928

Tse Chin Mo, Mark C. K. Yang

Publication date: 1984

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(84)90002-6

zbMATH Keywords

simultaneous confidence intervalsKolmogorov-Smirnov statisticBirnbaum-McCarty boundMann-Whitney estimateMonte-Carlo study

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Nonparametric tolerance and confidence regions (62G15)

Cites Work

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• The effects on convergence of substituting parameter estimates into U- statistics and other families of statistics
• Distribution-free confidence bounds for \(P(X < Y)\)
• A Distribution-Free Upper Confidence Bound for $\Pr \{Y &lt; X\}$, Based on Independent Samples of $X$ and $Y$
• Estimation of Pr (Y < X) for the Pareto Distribution
• Best Estimates of Functions of the Parameters of the Gaussian and Gamma Distributions
• On estimating P(X > Y) for the exponential distribution
• Minimum Variance Unbiased Estimation of P[Y < X in the Normal Case]
• Nonparametric Upper Confidence Bounds for Pr{Y < X} and Confidence Limits for Pr{Y < X} When X and Y are Normal
• On Distribution-Free Confidence Bounds for PrY < X
• The Estimation of Pr (Y < X) in the Normal Case

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