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Nonparametric Estimation of a Delay Distribution Based on Left‐Censored and Right‐Truncated Data
Author(s) -
Cui Jisheng
Publication year - 1999
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/j.0006-341x.1999.00345.x
Subject(s) - estimator , nonparametric statistics , statistics , estimation , variance (accounting) , mathematics , econometrics , covariance , computer science , management , accounting , economics , business
Summary. This paper proposes a nonparametric method for estimating a delay distribution based on left‐censored and right‐truncated data. A variance‐covariance estimator is provided. The method is applied to the Australian AIDS data in which some data are left censored and some data are not left censored. This situation arises with AIDS case‐reporting data in Australia because reporting delays were recorded only from November 1990 rather than from the beginning of the epidemic there. It is shown that inclusion of the left‐censored data, as opposed to analyzing only the uncensored data, improves the precision of the estimate.