Concentration curve for truncated and censored data

DOI10.3103/S1066530714020057zbMath1321.60060MaRDI QIDQ2261920

S. M. Tze

Publication date: 13 March 2015

Published in: Mathematical Methods of Statistics (Search for Journal in Brave)

zbMATH Keywords

functional law of the iterated logarithmleft truncationLorenz curveconcentration curvestrong Gaussian approximationsright censorship

Mathematics Subject Classification ID

Gaussian processes (60G15) Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15) Sample path properties (60G17) Functional limit theorems; invariance principles (60F17)

Cites Work

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• Composing the cumulative quantile regression function and the Goldie concentration curve
• Quantile process for left truncated and right censored data
• Lorenz curve for truncated and censored data
• An asymptotic theory for empirical reliability and concentration processes
• On the rate of strong consistency of Lorenz curves
• Strassen's LIL for the Lorenz curve
• Strassen's law of the iterated logarithm for the Lorenz curves
• A note on the product-limit estimator under right censoring and left truncation
• Convergence theorems for empirical Lorenz curves and their inverses
• A General Definition of the Lorenz Curve

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