A comparison of testing and confidence interval methods for the median

DOI10.1016/0167-7152(87)90055-1zbMath0626.62047OpenAlexW2083233852MaRDI QIDQ580850

Joseph W. McKean, Simon J. Sheather

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0167-7152(87)90055-1

zbMATH Keywords

standard error estimateinterpolating confidence intervalssign statisticstudentizing the median

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Nonparametric tolerance and confidence regions (62G15)

Related Items

Exact Nonparametric Bootstrap Confidence Bands for the Quantile Function Given Censored Data ⋮ Calculating nonparametric confidence intervals for quantiles using fractional order statistics ⋮ A note on coverage error of bootstrap confidence intervals for quantiles ⋮ Generalized expected value of continuous random variables and its applications ⋮ On using the jackknife to estimate quantile variance ⋮ Tests of Linear Hypotheses and Lav Estimation: A Monte Carlo Comparison ⋮ Distribution‐free Approximate Methods for Constructing Confidence Intervals for Quantiles ⋮ A bootstrap approach to hypothesis testing in least absolute value regression ⋮ An empirical likelihood statistic for quantiles ⋮ Robust weighted LAD regression ⋮ Estimating the variance of the sample median, discrete case ⋮ A further comparison of tests of hypotheses in LAV regression ⋮ The use and interpretation of rank-based residuals ⋮ Nonparametric estimates of the nuisance parameter in the lad tests ⋮ On the error incurred using the bootstrap variance estimate when constructing confidence intervals for quantiles

Cites Work

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• Confidence intervals based on interpolated order statistics
• Asymptotically optimum kernels for density estimation at a point
• Bootstrap methods: another look at the jackknife
• A finite sample estimate of the variance of the sample median
• Distribution of quantiles in samples from a bivariate population
• Nonparametric Confidence Intervals for a Shift Parameter
• On Estimation of a Probability Density Function and Mode

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