Asymptotic joint distribution of sample quantiles and sample mean with applications

DOI10.1080/03610928008827858zbMath0432.62012OpenAlexW2075555664MaRDI QIDQ3870134

Pi-Erh Lin, Ibrahim A. Ahmad, Ke-Tsai Wu

Publication date: 1980

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928008827858

zbMATH Keywords

consistent estimatorsabsolutely continuous distributionasymptotic joint distributionBahadur representation of sample quantilesCramer-Wold devicekernel estimate of densitycovariance of limiting distributionsmedian as percentage of mean

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05)

Related Items (4)

A general optimal approach to Bühlmann credibility theory ⋮ Assessing and Visualizing Simultaneous Simulation Error ⋮ Asymptotic distributions and performance of empirical skewness measures ⋮ A simple and competitive estimator of location

Cites Work

• Unnamed Item
• On Non-Parametric Estimates of Density Functions and Regression Curves
• A Note on Quantiles in Large Samples
• A New Proof of the Bahadur Representation of Quantiles and an Application
• Convergence of Quantile and Spacings Processes with Applications
• Linear Statistical Inference and its Applications
• On Estimation of a Probability Density Function and Mode

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