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Strong approximations of the quantile process of the product-limit estimator

Listed author(s):
  • Aly, Emad-Eldin A. A.
  • Csörgo, Miklós
  • Horváth, Lajos

The quantile process of the product-limit estimator (PL-quantile process) in the random censorship model from the right is studied via strong approximation methods. Some almost sure fluctuation properties of the said process are studied. Sections 3 and 4 contain strong approximations of the PL-quantile process by a generalized Kiefer process. The PL and PL-quantile processes by the same appropriate Kiefer process are approximated and it is demonstrated that this simultaneous approximation cannot be improved in general. Section 5 contains functional LIL for the PL-quantile process and also three methods of constructing confidence bands for theoretical quantiles in the random censorship model from the right.

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Article provided by Elsevier in its journal Journal of Multivariate Analysis.

Volume (Year): 16 (1985)
Issue (Month): 2 (April)
Pages: 185-210

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Handle: RePEc:eee:jmvana:v:16:y:1985:i:2:p:185-210
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