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We report assumption-free bounds for any contrast between the probabilities of the potential outcome under exposure and non-exposure when the confounders are missing not at random. We assume that the missingness mechanism is…

Methodology · Statistics 2024-11-04 Jose M. Peña

Measuring conditional dependencies among the variables of a network is of great interest to many disciplines. This paper studies some shortcomings of the existing dependency measures in detecting direct causal influences or their lack of…

Machine Learning · Statistics 2017-06-05 Jalal Etesami , Kun Zhang , Negar Kiyavash

Clinical trials involving novel immuno-oncology (IO) therapies frequently exhibit survival profiles which violate the proportional hazards assumption due to a delay in treatment effect, and in such settings, the survival curves in the two…

Methodology · Statistics 2021-02-02 Nicholas C. Henderson , Kijoeng Nam , Dai Feng

Adaptive experimentation enables efficient estimation of causal effects, but existing methods are not designed for survival data with censoring, where event times are only partially observed (e.g., overall survival in cancer trials but with…

Machine Learning · Computer Science 2026-05-19 Yuxin Wang , Dennis Frauen , Jonas Schweisthal , Maresa Schröder , Emil Javurek , Stefan Feuerriegel

Unmeasured confounding bias threatens the validity of observational studies. While sensitivity analyses and study designs have been proposed to address this issue, they often overlook the growing availability of auxiliary data. Using…

Methodology · Statistics 2024-10-22 Jie Kate Hu , Dafne Zorzetto , Francesca Dominici

In this paper we propose a new method of joint nonparametric estimation of probability density and its support. As is well known, nonparametric kernel density estimator has "boundary bias problem" when the support of the population density…

Statistics Theory · Mathematics 2024-07-19 Taku Moriyama

Cardiovascular diseases are major causes of mortality globally. They often co-occur and are interrelated, leading to partial-order relationships among their onset times. However, these onset times are subject to informative censoring due to…

Methodology · Statistics 2026-04-07 Tonghui Yu , Liming Xiang

Cox proportional hazard model (CPH) is commonly used in clinical research for survival analysis. In quantitative medical imaging (radiomics) studies, CPH plays an important role in feature reduction and modeling. However, the underlying…

Quantitative Methods · Quantitative Biology 2019-06-27 Yucheng Zhang , Edrise M. Lobo-Mueller , Paul Karanicolas , Steven Gallinger , Masoom A. Haider , Farzad Khalvati

Semiparametric single-index assumptions are convenient and widely used dimen\-sion reduction approaches that represent a compromise between the parametric and fully nonparametric models for regressions or conditional laws. In a mean…

Statistics Theory · Mathematics 2014-10-21 Samuel Maistre , Valentin Patilea

Researchers are often interested in treatment effects on outcomes that are only defined conditional on a post-treatment event status. For example, in a study of the effect of different cancer treatments on quality of life at end of…

Non-probability sampling is prevailing in survey sampling, but ignoring its selection bias leads to erroneous inferences. We offer a unified nonparametric calibration method to estimate the sampling weights for a non-probability sample by…

Methodology · Statistics 2022-04-21 Zhonglei Wang , Xiaojun Mao , Jae Kwang Kim

Survival extropy, which quantifies the uncertainty associated with the remaining lifetime distribution, provides an information-theoretic perspective on survival behavior. We consider a divergence measure based on survival extropy and…

Statistics Theory · Mathematics 2025-12-03 Naresh Garg , Isha Dewan , Sudheesh Kumar Kattumannil

In this paper, we prove almost surely consistency of a Survival Analysis model, which puts a Gaussian process, mapped to the unit interval, as a prior on the so-called hazard function. We assume our data is given by survival lifetimes $T$…

Statistics Theory · Mathematics 2016-11-09 Tamara Fernández , Yee Whye Teh

A class of estimating functions is introduced for the regression parameter of the Cox proportional hazards model to allow unknown failure statuses on some study subjects. The consistency and asymptotic normality of the resulting estimators…

Statistics Theory · Mathematics 2007-08-22 Irene Gijbels , Danyu Lin , Zhiliang Ying

Reliable inference for spatial regression remains challenging because it requires the correct specification of the spatial dependence structure, the mean trend, and the error distribution. Existing parametric testing methods rely on…

Methodology · Statistics 2026-05-12 Kanghyun Wi , Hyoeun Kim , Tomáš Mrkvička , Jorge Mateu , Jaewoo Park

Cure models have been developed as an alternative modelling approach to conventional survival analysis in order to account for the presence of cured subjects that will never experience the event of interest. Mixture cure models, which model…

Methodology · Statistics 2022-07-19 Eni Musta , Valentin Patilea , Ingrid Van Keilegom

Making causal inferences from observational studies can be challenging when confounders are missing not at random. In such cases, identifying causal effects is often not guaranteed. Motivated by a real example, we consider a…

Methodology · Statistics 2023-10-31 Jian Sun , Bo Fu

A challenge when dealing with survival analysis data is accounting for a cure fraction, meaning that some subjects will never experience the event of interest. Mixture cure models have been frequently used to estimate both the probability…

Methodology · Statistics 2021-06-15 Eni Musta , Valentin Patilea , Ingrid Van Keilegom

We consider a stochastic individual-based model in continuous time to describe a size-structured population for cell divisions. This model is motivated by the detection of cellular aging in biology. We address here the problem of…

Statistics Theory · Mathematics 2020-09-28 Van Ha Hoang , Thanh Mai Pham Ngoc , Vincent Rivoirard , Viet Chi Tran

Most causal inference methods consider counterfactual variables under interventions that set the treatment deterministically. With continuous or multi-valued treatments or exposures, such counterfactuals may be of little practical interest…

Methodology · Statistics 2021-07-07 Iván Díaz , Nicholas Williams , Katherine L. Hoffman , Edward J. Schenck
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