Inference for quantile measures of kurtosis, peakedness, and tail weight

DOI10.1080/03610926.2015.1056366zbMath1368.62083arXiv1407.6461OpenAlexW259219924MaRDI QIDQ4976198

R. G. jun. Staudte

Publication date: 27 July 2017

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

Full work available at URL: https://arxiv.org/abs/1407.6461

zbMATH Keywords

bimodalitydistribution-free methodsTukey's sparsity indexvariance-stabilizing transformationsskewed-\(t\) distributions

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Nonparametric hypothesis testing (62G10) Nonparametric estimation (62G05) Nonparametric tolerance and confidence regions (62G15)

Related Items

Quantile versions of the Lorenz curve

Cites Work

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• Bias-reduced estimates for skewness, kurtosis, \(L\)-skewness and \(L\)-kurtosis
• An analysis of quantile measures of kurtosis: center and tails
• Simple tests for peakedness, fat tails and leptokurtosis based on quantiles
• Robust measures of tail weight
• Two families of kurtosis measures
• Skew \(t\) distributions via the sinh-arcsinh transformation
• Inference for quantile measures of skewness
• The large-sample distribution of the most fundamental of statistical summaries
• Kurtosis and spread
• Nonparametric multivariate kurtosis and tailweight measures
• An Asymptotically Nonparametric Test of Symmetry
• WHICH PART OF THE SAMPLE CONTAINS THE INFORMATION?
• Maxbias curves of robust scale estimators based on subranges