Semiparametric likelihood inference for left-truncated and right-censored data
نویسندگان
چکیده
منابع مشابه
Semiparametric likelihood inference for left-truncated and right-censored data.
This paper proposes a new estimation procedure for the survival time distribution with left-truncated and right-censored data, where the distribution of the truncation time is known up to a finite-dimensional parameter vector. The paper expands on the Vardis multiplicative censoring model (Vardi, 1989. Multiplicative censoring, renewal processes, deconvolution and decreasing density: non-parame...
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Left truncation and right censoring arise naturally in lifetime data. Left truncation arises because in many situations, failure of a unit is observed only if it fails after a certain period. Often, the units under study may not be followed until all of them fail and the experimenter may have to stop at a certain time when some of the units may still be working. This introduces right censoring ...
متن کاملMaterials for “ Semiparametric likelihood inference for left - truncated and right censored data ”
Sketch proof of Theorem 1. For fixed θ, denote the maximizer of ln(θ, F ) by F̂θ. Obviously, ψ̂n = (θ̂n, F̂n) is just the joint maximizer of ln(ψ). By a similar argument as in the proof of Property 1 in Vardi (1989), we can show that maximizing the log-likelihood function ln for a fixed θ is equivalent to maximizing a strictly log-concave problem over a convex region, hence implying a unique maximi...
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The Weibull distribution is a very popular distribution for modeling lifetime data. Left truncation and right censoring are often observed in lifetime data. Here, the EM algorithm is applied to estimate the model parameters of the Weibull distribution fitted to data containing left truncation and right censoring. The maximization part of the EM algorithm is carried out using the EM gradient alg...
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Sample selection bias has long been recognized in many fields including clinical trials, epidemiology studies, genome-wide association studies, and wildlife management. This paper investigates the maximum likelihood estimation for censored survival data with selection bias under the Cox regression models where the selection process is modeled parametrically. A novel expectation-maximization alg...
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ژورنال
عنوان ژورنال: Biostatistics
سال: 2015
ISSN: 1465-4644,1468-4357
DOI: 10.1093/biostatistics/kxv012