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SMOOTH PL-ESTIMATOR OF DISTRIBUTION FUNCTION UNDER RANDOM TRUNCATION DATA

SMOOTH PL-ESTIMATOR OF DISTRIBUTION FUNCTION UNDER RANDOM TRUNCATION DATA
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摘要 SMOOTHPL-ESTIMATOROFDISTRIBUTIONFUNCTIONUNDERRANDOMTRUNCATIONDATAZHOUYong(InstituteofAppliedMathematics,AcademiaSinica,Beijin... For the nonparametric smooth PL-estimator Fn, the smooth PL-process (Fn - F) can be uniformly represented by a smooth empirical process plus a negligible remainder term when the data are subject to random left truncation. The law of the iterated logarithm (LIL) and the weak convergence of the smooth PL-process are established from this representation.
出处 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 1996年第3期205-215,共11页
关键词 SMOOTH PL-estimator SMOOTH PL-process empirical PROCESS hazard function and weak convergence Smooth PL-estimator, smooth PL-process, empirical process, hazard function and weak convergence
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