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Edgeworth expansion of the Studentized product-limit estimator for truncated and censored data
Authors:SUN Liuquan
Institution:Institute of Applied Mathematics, Academy of Mathematics and System Sciences,Chinese Academy of Sciences, Beijing 100080,China
Abstract:Based on random left truncated and right censored data we investigate the one-term Edgeworth expansion for the Studentized product-limit estimator, and show that the Edgeworth expansion is close to the exact distribution of the Studentized product-limit estimator with a remainder of On(su-1/2).
Keywords:truncated and censored data  Studentized product-limit estimator  asymptotic normality  Edgeworth expansion
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