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This paper is devoted to robust estimation based on dual divergences estimators for parametric models in the framework of right censored data. We give limit laws of the proposed estimators and examine their asymptotic properties through a…

统计理论 · 数学 2011-06-15 Mohamed Cherfi

One goal in survival analysis of right-censored data is to estimate the marginal survival function in the presence of dependent censoring. When many auxiliary covariates are sufficient to explain the dependent censoring, estimation based on…

统计理论 · 数学 2007-06-13 Donglin Zeng

In this article, we consider a useful product-limit estimator of distribution function proposed by Huang & Qin(2011) when the observations are subject to length-biased and right-censored data. The estimator retains the simple closed-form…

统计理论 · 数学 2017-08-03 Jianhua Shi , Xiaoping Chen , Yong Zhou

We introduce a nonparametric estimator of the conditional survival function in the mixture cure model for right censored data when cure status is partially known. The estimator is developed for the setting of a single continuous covariate…

统计方法学 · 统计学 2024-02-13 Wende C. Safari , Ignacio López-de-Ullibarri , M. Amalia Jácome

We present a conformal inference method for constructing lower prediction bounds for survival times from right-censored data, extending recent approaches designed for more restrictive type-I censoring scenarios. The proposed method imputes…

统计方法学 · 统计学 2025-05-26 Matteo Sesia , Vladimir Svetnik

A sum-wise formulation is proposed for the Kaplan-Meier product limit estimator of partially right-censored survival data. The derived representation permits to write the population's estimator as a sum over its individual units'…

统计方法学 · 统计学 2025-11-10 Malte C. Tichy

In this paper, we consider survival analysis with right-censored data which is a common situation in predictive maintenance and health field. We propose a model based on the estimation of two-parameter Weibull distribution conditionally to…

统计方法学 · 统计学 2020-02-24 Achraf Bennis , Sandrine Mouysset , Mathieu Serrurier

Under adaptive progressive Type-II censoring schemes, order restricted inference based on competing risks data is discussed in this article. The latent failure lifetimes for the competing causes are assumed to follow Weibull distributions,…

统计方法学 · 统计学 2022-05-10 Ayon Ganguly , Debanjan Mitra , Debasis Kundu

The usual parametric models for survival data are of the following form. Some parametrically specified hazard rate $\alpha(s,\theta)$ is assumed for possibly censored random life times $X_1^0,\ldots,X_n^0$; one observes only…

统计方法学 · 统计学 2026-03-25 Nils Lid Hjort

The analysis of a truncated sample can be hindered by censoring. Survival information may be lost to follow-up or the birthdate may be missing. The data can still be modeled as a truncated point process and it is close to a Poisson process,…

统计方法学 · 统计学 2025-08-12 Fiete Sieg , Anne-Marie Toparkus , Rafael Weissbach

We propose a censored quantile regression estimator motivated by unbiased estimating equations. Under the usual conditional independence assumption of the survival time and the censoring time given the covariates, we show that the proposed…

统计理论 · 数学 2013-02-04 Chenlei Leng , Xingwei Tong

Our objective is to construct well-calibrated prediction sets for a time-to-event outcome subject to right-censoring with guaranteed coverage. Inspired by modern conformal inference, our approach avoids the need for a well-specified…

统计方法学 · 统计学 2026-01-27 Rebecca Farina , Eric J. Tchetgen Tchetgen , Arun Kumar Kuchibhotla

The conditional survival function of a time-to-event outcome subject to censoring and truncation is a common target of estimation in survival analysis. This parameter may be of scientific interest and also often appears as a nuisance in…

统计方法学 · 统计学 2024-08-20 Charles J. Wolock , Peter B. Gilbert , Noah Simon , Marco Carone

A doubly type-II censored scheme is an important sampling scheme in the life testing experiment and reliability engineering. In the present commutation, we have considered estimating ordered scale parameters of two exponential distributions…

统计理论 · 数学 2024-12-09 Shrajal Bajpai , Lakshmi Kanta Patra

In this paper the regression discontinuity design is adapted to the survival analysis setting with right-censored data, studied in an intensity based counting process framework. In particular, a local polynomial regression version of the…

统计方法学 · 统计学 2022-10-07 Emil Aas Stoltenberg

We investigate the estimation of the extreme value index when the data are subject to random censorship. We prove, in a unified way, detailed asymptotic normality results for various estimators of the extreme value index and use these…

统计理论 · 数学 2008-12-18 John H. J. Einmahl , Amélie Fils-Villetard , Armelle Guillou

The i.i.d. censoring model for survival analysis assumes two independent sequences of i.i.d. positive random variables, $(T_i^*)_{1\le i\le n}$ and $(U_i)_{1\le i\le n}$. The data consists of observations on the random sequence…

统计理论 · 数学 2020-02-27 Ross A. Maller , Sidney I. Resnick

In this paper we investigate the estimation of the unknown parameters of a competing risk model based on a Weibull distributed decreasing failure rate and an exponentially distributed constant failure rate, under right censored…

统计理论 · 数学 2021-01-12 Hamida Talhi , Hiba Aiachi , Nadji Rahmania

We propose a general index model for survival data, which generalizes many commonly used semiparametric survival models and belongs to the framework of dimension reduction. Using a combination of geometric approach in semiparametrics and…

统计理论 · 数学 2017-10-17 Ge Zhao , Yanyuan Ma , Wenbin Lu

We consider projection methods for the estimation of the cumulative distribution function under interval censoring, case 1. Such censored data also known as current status data, arise when the only information available on the variable of…

统计理论 · 数学 2009-01-29 Elodie Brunel , Fabienne Comte
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