Semiparametric estimation for cure survival model with left-truncated and right-censored data and covariate measurement error
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...
متن کاملQuantile Estimation for Left Truncated and Right Censored Data
In this paper we study the estimation of a quantile function based on left truncated and right censored data by the kernel smoothing method. Asymptotic normality and a Berry-Esseen type bound for the kernel quantile estimator are derived. Monte Carlo studies are conducted to compare the proposed estimator with the PL-quantile estimator.
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...
متن کاملSemiparametric Analysis of Transformation Models with Left-truncated and Right-Censored Data Director
We analyze left-truncated and right-censored (LTRC) data using semiparametric transformation models. It is demonstrated that the approach of Chen et al. (2002) can be extended to LTRC data. A simulation study is conducted to investigate the performance of the proposed estimators.
متن کاملStrong Convergence Rates of the Product-limit Estimator for Left Truncated and Right Censored Data under Association
Non-parametric estimation of a survival function from left truncated data subject to right censoring has been extensively studied in the literature. It is commonly assumed in such studies that the lifetime variables are a sample of independent and identically distributed random variables from the target population. This assumption is often prone to failure in practical studies. For instance, wh...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Statistics & Probability Letters
سال: 2019
ISSN: 0167-7152
DOI: 10.1016/j.spl.2019.06.023