DOIAbstract
One of the basic parameters in survival analysis is the mean residual life M (0). For right censored observation, the usual empirical likelihood based log-likelihood ratio leads to a scaled chi(2)(1) limit distribution and estimating the scaled parameter leads to lower coverage of the corresponding confidence interval. To solve the problem, we present a log-likelihood ratio l(M (0)) by methods of Murphy and van der Vaart (Ann Stat 1471-1509, 1997). The limit distribution of l(M (0)) is the standard chi(2)(1) distribution. Based on the limit distribution of l(M (0)), the corresponding confidence interval of M (0) is constructed. Since the proof of the limit distribution does not offer a computational method for the maximization of the log-li...
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