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September, 1987 Convergence Rates for the Bootstrapped Product-Limit Process
Lajos Horvath, Brian S. Yandell
Ann. Statist. 15(3): 1155-1173 (September, 1987). DOI: 10.1214/aos/1176350498

Abstract

We establish rates for strong approximations of the bootstrapped product-limit process and the corresponding quantile process. These results are used to show weak convergence of bootstrapped total time on test and Lorenz curve processes to the same limiting Gaussian processes as for the unbootstrapped versions. We develop fully nonparametric confidence bands and tests for these curves and apply these results to prostate cancer. We also present almost sure results for the bootstrapped product-limit estimator.

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Lajos Horvath. Brian S. Yandell. "Convergence Rates for the Bootstrapped Product-Limit Process." Ann. Statist. 15 (3) 1155 - 1173, September, 1987. https://doi.org/10.1214/aos/1176350498

Information

Published: September, 1987
First available in Project Euclid: 12 April 2007

zbMATH: 0637.62014
MathSciNet: MR902251
Digital Object Identifier: 10.1214/aos/1176350498

Subjects:
Primary: 60F17
Secondary: 62E20, 62G05, 62G10

Rights: Copyright © 1987 Institute of Mathematical Statistics

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Vol.15 • No. 3 • September, 1987
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