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We consider nonparametric estimation of a regression curve when the data are observed with multiplicative distortion which depends on an observed confounding variable. We suggest several estimators, ranging from a relatively simple one that…

统计理论 · 数学 2016-01-13 Aurore Delaigle , Peter Hall , Wen-Xin Zhou

An important challenge in statistical analysis concerns the control of the finite sample bias of estimators. This problem is magnified in high-dimensional settings where the number of variables $p$ diverges with the sample size $n$, as well…

统计理论 · 数学 2020-02-21 Stéphane Guerrier , Mucyo Karemera , Samuel Orso , Maria-Pia Victoria-Feser

This paper studies Cox's regression hazard model with an unobservable random frailty where no specific distribution is postulated for the frailty variable, and the marginal lifetime distribution allows both parametric and non-parametric…

统计方法学 · 统计学 2015-10-09 Vahed Maroufy , Paul Marriott

This paper describes an estimator of the additive components of a nonparametric additive model with a known link function. When the additive components are twice continuously differentiable, the estimator is asymptotically normally…

统计理论 · 数学 2007-06-13 Joel L. Horowitz , Enno Mammen

We investigate a semiparametric regression model where one gets noisy non linear non invertible functions of the observations. We focus on the application to bearings-only tracking. We first investigate the least squares estimator and prove…

统计理论 · 数学 2008-12-17 Elisabeth Gassiat , Benoit Landelle

We propose a new method for multivariate response regression and covariance estimation when elements of the response vector are of mixed types, for example some continuous and some discrete. Our method is based on a model which assumes the…

统计方法学 · 统计学 2022-03-04 Karl Oskar Ekvall , Aaron J. Molstad

The hazard ratio from the Cox proportional hazards model is a ubiquitous summary of treatment effect. However, when hazards are non-proportional, the hazard ratio can lose a stable causal interpretation and become study-dependent because it…

统计方法学 · 统计学 2026-02-17 Xiang Meng , Lu Tian , Kenneth Kehl , Hajime Uno

In this paper we study the asymptotic normality in high-dimensional linear regression. We focus on the case where the covariance matrix of the regression variables has a KMS structure, in asymptotic settings where the number of predictors,…

统计理论 · 数学 2022-05-17 Saulius Jokubaitis , Remigijus Leipus

Estimating prevalence, the fraction of a population with a certain medical condition, is fundamental to epidemiology. Traditional methods rely on classification of test samples taken at random from a population. Such approaches to…

统计方法学 · 统计学 2022-03-25 Paul Patrone , Anthony Kearsley

We propose a new class of estimators of the multivariate response linear regression coefficient matrix that exploits the assumption that the response and predictors have a joint multivariate Normal distribution. This allows us to indirectly…

统计方法学 · 统计学 2015-07-17 Aaron J. Molstad , Adam J. Rothman

This paper introduces a new version of the smoothly trimmed mean with a more general version of weights, which can be used as an alternative to the classical trimmed mean. We derive its asymptotic variance and to further investigate its…

统计理论 · 数学 2024-09-10 Elina Kresse , Emils Silins , Janis Valeinis

We develop a post-selection inference method for the Cox proportional hazards model with interval-censored data, which provides asymptotically valid p-values and confidence intervals conditional on the model selected by lasso. The method is…

统计方法学 · 统计学 2024-01-02 Jianrui Zhang , Chenxi Li , Haolei Weng

We consider the estimation of parametric fractional time series models in which not only is the memory parameter unknown, but one may not know whether it lies in the stationary/invertible region or the nonstationary or noninvertible…

统计理论 · 数学 2012-03-14 Javier Hualde , Peter M. Robinson

Semiparametric models are often considered for analyzing longitudinal data for a good balance between flexibility and parsimony. In this paper, we study a class of marginal partially linear quantile models with possibly varying…

统计理论 · 数学 2009-11-19 Huixia Judy Wang , Zhongyi Zhu , Jianhui Zhou

This paper is concerned with inference on the regression function of a high-dimensional linear model when outcomes are missing at random. We propose an estimator which combines a Lasso pilot estimate of the regression function with a bias…

统计方法学 · 统计学 2024-12-11 Yikun Zhang , Alexander Giessing , Yen-Chi Chen

Case-control sampling is a commonly used retrospective sampling design to alleviate imbalanced structure of binary data. When fitting the logistic regression model with case-control data, although the slope parameter of the model can be…

统计方法学 · 统计学 2024-06-03 Hengchao Shi , Xinyi Liu , Ming Zheng , Wen Yu

Many statistical applications involve models for which it is difficult to evaluate the likelihood, but from which it is relatively easy to sample. Approximate Bayesian computation is a likelihood-free method for implementing Bayesian…

统计方法学 · 统计学 2017-11-29 Wentao Li , Paul Fearnhead

Multivariate elliptically-contoured distributions are widely used for modeling correlated and non-Gaussian data. In this work, we study the kurtosis of the elliptical model, which is an important parameter in many statistical analysis.…

统计理论 · 数学 2024-08-23 Bowen Zhou , Peirong Xu , Cheng Wang

In the past several years a wide range of methods for the construction of regression trees and other estimators based on the recursive partitioning of samples have appeared in the statistics literature. Many applications involve data…

统计方法学 · 统计学 2014-07-07 Daniell Toth , John Eltinge

Population attributable fractions aim to quantify the proportion of the cases of an outcome (for example, a disease) that would have been avoided had no individuals in the population been exposed to a given exposure. This quantity thus…