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Statistical generalized derivative applied to the profile likelihood estimation in a mixture of semiparametric models (1807.07670v1)
Published 20 Jul 2018 in math.ST and stat.TH
Abstract: There is a difficulty in finding an estimate of variance of the profile likelihood estimator in the joint model of longitudinal and survival data. We solve the difficulty by introducing the ``statistical generalized derivative''. The derivative is used to show the asymptotic normality of the estimator without assuming the second derivative of the density function in the model exists.
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