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Related papers: Expert Kaplan--Meier estimation

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We study the conditional expert Kaplan-Meier estimator, an extension of the classical Kaplan--Meier estimator designed for time-to-event data subject to both right-censoring and contamination. Such contamination, where observed events may…

Methodology · Statistics 2026-01-06 Martin Bladt , Kristian Vilhelm Dinesen

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'…

Methodology · Statistics 2025-11-10 Malte C. Tichy

A novel and comprehensive methodology designed to tackle the challenges posed by extreme values in the context of random censorship is introduced. The main focus is on the analysis of integrals based on the product-limit estimator of…

Statistics Theory · Mathematics 2025-02-18 Martin Bladt , Igor Rodionov

The statistical censoring setup is extended to the situation when random measures can be assigned to the realization of datapoints, leading to a new way of incorporating expert information into the usual parametric estimation procedures.…

Methodology · Statistics 2023-12-05 Hansjörg Albrecher , Martin Bladt

In a unified framework, we provide estimators and confidence bands for a variety of treatment effects when the outcome of interest, typically a duration, is subjected to right censoring. Our methodology accommodates average, distributional,…

Methodology · Statistics 2017-10-04 Pedro H. C. Sant'Anna

The Kaplan-Meier product-limit estimator is a simple and powerful tool in time to event analysis. An extension exists for populations stratified into cohorts where a population survival curve is generated by weighted averaging of…

Methodology · Statistics 2018-11-12 Aaron Heuser , Minh Huynh , Joshua C. Chang

The Kaplan--Meier (KM) estimator, which provides a nonparametric estimate of a survival function for time-to-event data, has wide application in clinical studies, engineering, economics and other fields. The theoretical properties of the KM…

Methodology · Statistics 2020-11-23 Jiaqi Gu , Yiwei Fan , Guosheng Yin

Transformation models provide a common tool for regression analysis of censored failure time data. The most common approach towards parameter estimation in these models is based on the nonparametric profile likelihood method. Several…

Statistics Theory · Mathematics 2007-06-13 Dorota M. Dabrowska

We study the basic task of mean estimation in the presence of mean-shift contamination. In the mean-shift contamination model, an adversary is allowed to replace a small constant fraction of the clean samples by samples drawn from…

Machine Learning · Computer Science 2026-02-27 Ilias Diakonikolas , Giannis Iakovidis , Daniel M. Kane , Sihan Liu

The task of analyzing extreme events with censoring effects is considered under a framework allowing for random covariate information. A wide class of estimators that can be cast as product-limit integrals is considered, for when the…

Statistics Theory · Mathematics 2024-08-14 Martin Bladt , Christoffer Øhlenschlæger

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…

Statistics Theory · Mathematics 2011-06-15 Mohamed Cherfi

This paper deals with parameter estimation when the data are randomly right censored. The maximum likelihood estimates from censored samples are obtained by using the expectation-maximization (EM) and Monte Carlo EM (MCEM) algorithms. We…

Computation · Statistics 2012-03-20 Chanseok Park , Seong Beom Lee

This paper is devoted to the estimators of the mean that provide strong non-asymptotic guarantees under minimal assumptions on the underlying distribution. The main ideas behind proposed techniques are based on bridging the notions of…

Statistics Theory · Mathematics 2019-05-07 Stanislav Minsker

In this paper we test the composite hypothesis that lifetimes follow an exponential distribution based on observed randomly right censored data. Testing this hypothesis is complicated by the presence of this censoring, due to the fact that…

Methodology · Statistics 2020-11-10 E. Bothma , J. S. Allison , M. Cockeran , I. J. H. Visagie

Identifying anomalies and contamination in datasets is important in a wide variety of settings. In this paper, we describe a new technique for estimating contamination in large, discrete valued datasets. Our approach considers the normal…

Information Theory · Computer Science 2015-06-16 Matthew L. Malloy , Scott Alfeld , Paul Barford

In decision modelling with time to event data, there are a variety of parametric models which could be used to extrapolate the survivor function. Each of these implies a different hazard function and in situations where there is moderate…

Applications · Statistics 2021-12-07 Philip Cooney , Arthur White

We consider estimation in a class of semiparametric transformation models for right--censored data. These models gained much attention in survival analysis; however, most authors consider only regression models derived from frailty…

Statistics Theory · Mathematics 2007-06-13 Dorota M. Dabrowska

Randomness in scientific estimation is generally assumed to arise from unmeasured or uncontrolled factors. However, when combining subjective probability estimates, heterogeneity stemming from people's cognitive or information diversity is…

Methodology · Statistics 2015-09-14 Ville A. Satopää , Robin Pemantle , Lyle H. Ungar

A model for competing (resp. complementary) risks survival data where the failure time can be left (resp. right) censored is proposed. Product-limit estimators for the survival functions of the individual risks are derived. We deduce the…

Statistics Theory · Mathematics 2007-06-13 Valentin Patilea , Jean-Marie Rolin

For studying or reducing the bias of functionals of the Kaplan-Meier survival estimator, the jackknifing approach of Stute and Wang (1994) is natural. We have studied the behavior of the jackknife estimate of bias under different…

Methodology · Statistics 2013-12-17 Md Hasinur Rahaman Khan , J. Ewart H. Shaw
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