This paper is concerned with the nonparametric estimation of the distribution function F from interval-censored and truncated data as discussed by Turnbull. It is observed that Tumbull's characterization of F, the maximum likelihood estimator of F, is not applicable in general when the data are interval censored and truncated. It is shown, however, that Tumbull's characterization can be easily modified to obtain the appropriate characterization of F.
机构:
Indiana Univ, Dept Biostat, Fairbanks Sch Publ Hlth, Indianapolis, IN 46202 USA
Indiana Univ, Dept Biostat, Sch Med, Indianapolis, IN 46202 USA
Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R ChinaIndiana Univ, Dept Biostat, Fairbanks Sch Publ Hlth, Indianapolis, IN 46202 USA
Zhang, Ying
Cheng, Gang
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Boehringer Ingelheim China Investment Co Ltd, Biostat & Data Sci Asia, Shanghai 200040, Peoples R ChinaIndiana Univ, Dept Biostat, Fairbanks Sch Publ Hlth, Indianapolis, IN 46202 USA
Cheng, Gang
Tu, Wanzhu
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Indiana Univ, Dept Biostat, Fairbanks Sch Publ Hlth, Indianapolis, IN 46202 USA
Indiana Univ, Dept Biostat, Sch Med, Indianapolis, IN 46202 USAIndiana Univ, Dept Biostat, Fairbanks Sch Publ Hlth, Indianapolis, IN 46202 USA