Accession Number : ADA337421
Title : General Coverage Problems with Applications, and Bootstrap Method in Survival Analysis and Reliability Theory.
Descriptive Note : Final rept. 1 Nov 93-31 Oct 97,
Corporate Author : COLUMBIA UNIV NEW YORK
Personal Author(s) : Lo, Shaw-Hwa
PDF Url : ADA337421
Report Date : 08 JAN 1998
Pagination or Media Count : 9
Abstract : By approximating the classical Product-Limit estimator of a distribution function with an average of lid random variables, we derive, for the first time in the literature, sufficient and necessary conditions for the rates of (both strong as well as weak laws) uniform convergence of the Product-Limit estimator over the whole line. These findings somehow fill a longstanding gap in the theory of Survival Analysis and provide a systematic tool handling other challenging problems when data are incomplete. In deriving our main results we also suggested a heurestic way of estimating the rates of convergence. To demonstrate its applications we prove a related conjecture of Gill and explain how a reliable confidence interval and band near the endpoint can be constructed.
Descriptors : *RANDOM VARIABLES, *DISTRIBUTION FUNCTIONS, TOOLS, THEORY, RATES, SURVIVAL(GENERAL), RELIABILITY, CONVERGENCE, HANDLING, APPLIED MATHEMATICS, LOW STRENGTH, CONFIDENCE LIMITS, INTERVALS.
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE