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We study a linear high-dimensional regression model in a semi-supervised setting, where for many observations only the vector of covariates $X$ is given with no response $Y$. We do not make any sparsity assumptions on the vector of…

统计理论 · 数学 2021-09-03 Ilan Livne , David Azriel , Yair Goldberg

The standard quantile regression model assumes a linear relationship at the quantile of interest and that all variables are observed. We relax these assumptions by considering a partial linear model while allowing for missing linear…

统计方法学 · 统计学 2016-06-07 Ben Sherwood

We propose efficient nonparametric statistics to compare medical imaging modalities in multi-reader multi-test data and to compare markers in longitudinal ROC data. The proposed methods are based on the weighted area under the ROC curve…

应用统计 · 统计学 2012-06-11 Liansheng Larry Tang , Aiyi Liu , Zhen Chen , Enrique F. Schisterman , Bo Zhang , Zhuang Miao

Receiver operating characteristic (ROC) analysis is one of the most popular approaches for evaluating and comparing the accuracy of medical diagnostic tests. Although various methodologies have been developed for estimating ROC curves and…

统计方法学 · 统计学 2022-08-16 Ainesh Sewak , Torsten Hothorn

Missing data occur frequently in a wide range of applications. In this paper, we consider estimation of high-dimensional covariance matrices in the presence of missing observations under a general missing completely at random model in the…

统计方法学 · 统计学 2016-05-17 T. Tony Cai , Anru Zhang

We introduce a new smooth estimator of the ROC curve based on log-concave density estimates of the constituent distributions. We show that our estimate is asymptotically equivalent to the empirical ROC curve if the underlying densities are…

统计方法学 · 统计学 2023-04-17 Kaspar Rufibach

This paper is concerned with the estimating problem of response quantile with high dimensional covariates when response is missing at random. Some existing methods define root-n consistent estimators for the response quantile. But these…

统计方法学 · 统计学 2021-06-24 Miaomiao Su , Qihua Wang

This paper investigates the nonparametric estimation of a circular regression function in an errors-in-variables framework. Two settings are studied, depending on whether the covariates are circular or linear. Adaptive estimators are…

统计理论 · 数学 2025-08-27 Tien Dat Nguyen , Thanh Mai Pham Ngoc

We consider the situation of estimating Cox regression in which some covariates are subject to missing, and there exists additional information (including observed event time, censoring indicator and fully observed covariates) which may be…

统计方法学 · 统计学 2017-10-16 Chiu-Hsieh Hsu , Mandi Yu

Large datasets are often affected by cell-wise outliers in the form of missing or erroneous data. However, discarding any samples containing outliers may result in a dataset that is too small to accurately estimate the covariance matrix.…

统计理论 · 数学 2023-11-13 Karim Lounici , Grégoire Pacreau

In this paper we introduce new estimators of the coefficient functions in the varying coefficient regression model. The proposed estimators are obtained by projecting the vector of the full-dimensional kernel-weighted local polynomial…

统计理论 · 数学 2012-03-05 Young K. Lee , Enno Mammen , Byeong U. Park

In diagnostic studies, researchers frequently encounter imperfect reference standards with some misclassified labels. Treating these as gold standards can bias receiver operating characteristic (ROC) curve analysis. To address this issue,…

统计方法学 · 统计学 2025-02-13 Yifan Sun , Peijun Sang , Qinglong Tian , Pengfei Li

Accurate diagnosis of disease is of fundamental importance in clinical practice and medical research. Before a medical diagnostic test is routinely used in practice, its ability to distinguish between diseased and nondiseased states must be…

统计方法学 · 统计学 2018-06-05 Vanda Inacio de Carvalho , Maria Xose Rodriguez-Alvarez

We consider covariate adjusted regression (CAR), a regression method for situations where predictors and response are observed after being distorted by a multiplicative factor. The distorting factors are unknown functions of an observable…

统计理论 · 数学 2016-08-16 Damla Şentürk , Hans-Georg Müller

Time-dependent Receiver Operating Characteristics (ROC) analysis is a standard method to evaluate the discriminative performance of biomarkers or risk scores for time-to-event outcomes. Extensions of this useful method to left-truncated…

统计方法学 · 统计学 2025-09-09 Kendrick Li , Mithun Kumar Acharjee

Missing confounders are common in observational studies and present fundamental challenges for causal effect estimation by weakening identification and increasing sensitivity to model misspecification. Within the missing-indicator…

统计方法学 · 统计学 2026-04-23 Md. Shaddam Hossain Bagmar , Hua Shen

Covariate imbalance between treatment groups makes it difficult to compare cumulative incidence curves in competing risk analyses. In this paper we discuss different methods to estimate adjusted cumulative incidence curves including inverse…

统计方法学 · 统计学 2024-12-04 Patrick van Hage , Saskia le Cessie , Marissa C. van Maaren , Hein Putter , Nan van Geloven

The accuracy of a diagnostic test is typically characterised using the receiver operating characteristic (ROC) curve. Summarising indexes such as the area under the ROC curve (AUC) are used to compare different tests as well as to measure…

统计方法学 · 统计学 2010-12-30 Fang Yao , Radu V. Craiu , Benjamin Reiser

Two different approaches to analysis of data from diagnostic biomarker studies are commonly employed. Logistic regression is used to fit models for probability of disease given marker values, while ROC curves and risk distributions are used…

应用统计 · 统计学 2013-12-02 Ying Huang , Margaret S. Pepe , Ziding Feng

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…

统计方法学 · 统计学 2023-10-31 Jian Sun , Bo Fu