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In survival analysis it often happens that some subjects under study do not experience the event of interest; they are considered to be `cured'. The population is thus a mixture of two subpopulations: the one of cured subjects, and the one…

Statistics Theory · Mathematics 2017-01-16 Valentin Patilea , Ingrid Van Keilegom

We study nonparametric covariance function estimation for functional data observed with noise at discrete locations on a $d$-dimensional domain. Estimating the covariance function from discretely observed data is a challenging nonparametric…

Statistics Theory · Mathematics 2026-03-25 Yoshikazu Terada , Atsutomo Yara

Quantum key distribution (QKD) security fundamentally relies on the ability to distinguish genuine quantum correlations from classical eavesdropper simulations, yet existing certification methods lack rigorous statistical guarantees under…

Quantum Physics · Physics 2025-12-04 Davut Emre Tasar , Ceren Ocal Tasar

This paper studies covariate adjusted estimation of the average treatment effect in stratified experiments. We work in a general framework that includes matched tuples designs, coarse stratification, and complete randomization as special…

Econometrics · Economics 2024-07-23 Max Cytrynbaum

Exponential growth in the scale of modern foundation models has led to the widespread adoption of Low-Rank Adaptation (LoRA) as a parameter-efficient fine-tuning technique. However, standard LoRA implementations disregard the varying…

Artificial Intelligence · Computer Science 2026-05-01 Vishnuprasadh Kumaravelu , Sunil Gupta , P. K. Srijith

We develop finite-population asymptotic theory for covariate adjustment in randomization-based causal inference for 2K factorial designs. In particular, we confirm that both the unadjusted and covariate-adjusted estimators of the factorial…

Methodology · Statistics 2016-07-13 Jiannan Lu

Applications of CAR for balancing continuous covariates remain comparatively rare, especially in multi-treatment clinical trials, and the theoretical properties of multi-treatment CAR have remained largely elusive for decades. In this…

Statistics Theory · Mathematics 2026-02-17 Li-Xin Zhang

Uncertainty quantification is becoming increasingly important in image segmentation, especially for high-stakes applications like medical imaging. While conformal risk control generalizes conformal prediction beyond standard miscoverage to…

Machine Learning · Computer Science 2025-04-11 Rui Luo , Zhixin Zhou

We propose generalized additive partial linear models for complex data which allow one to capture nonlinear patterns of some covariates, in the presence of linear components. The proposed method improves estimation efficiency and increases…

Statistics Theory · Mathematics 2014-05-26 Li Wang , Lan Xue , Annie Qu , Hua Liang

We often seek to estimate the causal effect of an exposure on a particular outcome in both randomized and observational settings. One such estimation method is the covariate-adjusted residuals estimator, which was designed for individually…

Methodology · Statistics 2019-10-28 Stephen A. Lauer , Nicholas G. Reich , Laura B. Balzer

We consider nonregular fractions of factorial experiments for a class of linear models. These models have a common general mean and main effects, however they may have different 2-factor interactions. Here we assume for simplicity that…

Computation · Statistics 2019-11-11 Shrabanti Chowdhury , Joshua Lukemire , Abhyuday Mandal

Response-Adaptive Randomization (RAR) is part of a wider class of data-dependent sampling algorithms, for which clinical trials are typically used as a motivating application. In that context, patient allocation to treatments is determined…

Methodology · Statistics 2022-06-09 David S. Robertson , Kim May Lee , Boryana C. Lopez-Kolkovska , Sofia S. Villar

The majority of response-adaptive randomisation (RAR) designs in the literature rely on efficacy data to guide dynamic patient allocation. However, their applicability becomes limited in settings where efficacy outcomes, such as survival,…

Methodology · Statistics 2026-02-23 Maria Vittoria Chiaruttini , Lukas Pin , Sofia S. Villar

Generalized causal effect estimands, including the Mann-Whitney parameter and causal net benefit, provide flexible summaries of treatment effects in randomized experiments with non-Gaussian or multivariate outcomes. We develop a unified…

Methodology · Statistics 2026-02-27 Xinyuan Chen , Fan Li

A new framework based on the theory of copulas is proposed to address semi- supervised domain adaptation problems. The presented method factorizes any multivariate density into a product of marginal distributions and bivariate cop- ula…

Machine Learning · Statistics 2013-01-03 David Lopez-Paz , José Miguel Hernández-Lobato , Bernhard Schölkopf

This paper studies inference in two-stage randomized experiments under covariate-adaptive randomization. In the initial stage of this experimental design, clusters (e.g., households, schools, or graph partitions) are stratified and randomly…

Econometrics · Economics 2026-01-16 Jizhou Liu

The area under the curve (AUC) of the mean cumulative function (MCF) has recently been introduced as a novel estimand for evaluating treatment effects in recurrent event settings, offering an alternative to the commonly used…

Methodology · Statistics 2025-07-22 Jiren Sun , Tuo Wang , Yanyao Yi , Ting Ye , Jun Shao , Yu Du

In randomized clinical trials, adjustments for baseline covariates at both design and analysis stages are highly encouraged by regulatory agencies. A recent trend is to use a model-assisted approach for covariate adjustment to gain…

Methodology · Statistics 2021-07-14 Ting Ye , Jun Shao , Yanyao Yi , Qingyuan Zhao

The present paper deals with the problem of allocating patients to two competing treatments in the presence of covariates or prognostic factors in order to achieve a good trade-off among ethical concerns, inferential precision and…

Methodology · Statistics 2012-08-17 Alessandro Baldi Antognini , Maroussa Zagoraiou

We study the question of how best to assign an encouragement in a randomized encouragement study. In our setting, units arrive with covariates, receive a nudge toward treatment or control, acquire one of those statuses in a way that need…

Methodology · Statistics 2025-05-12 Tim Morrison , Minh Nguyen , Jonathan Chen , Michael Baiocchi , Art B. Owen