Nonparametric estimation of a survival function under progressive Type-I multistage censoring |
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Authors: | M.D. Burke |
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Affiliation: | Department of Mathematics and Statistics, University of Calgary, Calgary, AB, Canada T2N 1N4 |
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Abstract: | Failure time data subject to three progressive Type-I multistage censoring schemes are studied. Product limit estimators are proposed for the estimation of the survival function. It is shown that the resulting estimators are asymptotically equivalent to the corresponding estimators where the data are subject to a random iid right censoring scheme. Many well-known results on confidence bands and tests for randomly right censored data hold for these progressive censoring schemes. |
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Keywords: | Progressive multistage censoring Martingales Product limit estimation Asymptotic distribution |
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