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For a class of parametric modal regression models with measurement error, a simulation extrapolation estimation procedure is proposed in this paper for estimating the modal regression coefficients. Large sample properties of the proposed…

统计方法学 · 统计学 2019-10-04 Jianhong Shi , Yujing Zhang , Ping Yu , Weixing Song

This paper considers errors-in-variables models in a high-dimensional setting where the number of covariates can be much larger than the sample size, and there are only a small number of non-zero covariates. The presence of measurement…

统计方法学 · 统计学 2018-09-03 Linh Nghiem , Cornelis Potgieter

The presence of measurement error is a widespread issue which, when ignored, can render the results of an analysis unreliable. Numerous corrections for the effects of measurement error have been proposed and studied, often under the…

统计方法学 · 统计学 2023-06-29 Dylan Spicker , Michael Wallace , Grace Yi

We consider survival data from a population with cured subjects in the presence of mismeasured covariates. We use the mixture cure model to account for the individuals that will never experience the event and at the same time distinguish…

统计方法学 · 统计学 2020-09-15 Eni Musta , Ingrid Van Keilegom

This paper considers estimation for linear regression analysis with covariate measurement error arising from Poisson surrogates. We consider cases where covariates follow a conditional Poisson distribution, capturing non-Gaussian and…

统计理论 · 数学 2025-09-08 Aijun Yang , Mary Lesperance , Farouk S. Nathoo

While extensive work has been done to correct for biases due to measurement error in scalar-valued covariates prone to errors in generalized linear regression models, limited work has been done to address biases associated with functional…

统计方法学 · 统计学 2023-05-16 Yuanyuan Luan , Roger S. Zoh , Sneha Jadhav , Lan Xue , Carmen D. Tekwe

This paper offers a new approach to address the model uncertainty in (potentially) divergent-dimensional single-index models (SIMs). We propose a model-averaging estimator based on cross-validation, which allows the dimension of covariates…

统计方法学 · 统计学 2022-06-14 Jiahui Zou , Wendun Wang , Xinyu Zhang , Guohua Zou

For the nonparametric regression models with covariates contaminated with normal measurement errors, this paper proposes an extrapolation algorithm to estimate the nonparametric regression functions. By applying the conditional expectation…

统计方法学 · 统计学 2021-07-28 Weixing Song , Kanwal Ayub , Jianhong Shi

In epidemiological studies, it is common to analyze disease risk by categorizing continuous variables, such as calorie and nutrient intake, for interpretability. When the original continuous variable is contaminated with measurement errors,…

统计方法学 · 统计学 2025-11-11 Huali Zhao , Tianying Wang

For the general parametric regression models with covariates contaminated with normal measurement errors, this paper proposes an accelerated version of the classical simulation extrapolation algorithm to estimate the unknown parameters in…

统计方法学 · 统计学 2021-07-13 Kanwal Ayub , Weixing Song

In this paper, we consider a single-index mixed model with longitudinal data. A new set of estimating equations is proposed to estimate the single-index coefficient. The link function is estimated by using the local linear smoothing.…

统计方法学 · 统计学 2010-04-06 Zhen Pang , Liugen Xue

Wearable devices enable the continuous monitoring of physical activity (PA) but generate complex functional data with poorly characterized errors. Most work on functional data views the data as smooth, latent curves obtained at discrete…

统计方法学 · 统计学 2024-04-17 Xiwei Chen , Yuanyuan Luan , Roger S. Zoh , Lan Xue , Sneha Jadhav , Carmen D. Tekwe

In this paper, we study the estimation for a partial-linear single-index model. A two-stage estimation procedure is proposed to estimate the link function for the single index and the parameters in the single index, as well as the…

统计方法学 · 统计学 2009-05-14 Jane-Ling Wang , Liugen Xue , Lixing Zhu , Yun Sam Chong

We propose a two-step pseudo-maximum likelihood procedure for semiparametric single-index regression models where the conditional variance is a known function of the regression and an additional parameter. The Poisson single-index…

统计理论 · 数学 2017-04-27 Marian Hristache , Weiyu Li , Valentin Patilea

Single-index models are natural extensions of linear models and circumvent the so-called curse of dimensionality. They are becoming increasingly popular in many scientific fields including biostatistics, medicine, economics and financial…

统计理论 · 数学 2012-11-26 Xia Cui , Wolfgang Karl Härdle , Lixing Zhu

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…

统计理论 · 数学 2014-10-21 Samuel Maistre , Valentin Patilea

Covariate measurement error in regression analysis is an important issue that has been studied extensively under the classical additive and the Berkson error models. Here, we consider cases where covariates are derived from tumor tissue…

In the common partially linear single-index model we establish a Bahadur representation for a smoothing spline estimator of all model parameters and use this result to prove the joint weak convergence of the estimator of the index link…

统计理论 · 数学 2024-07-03 Jiajun Tang , Holger Dette

In this article, we propose some new generalizations of M-estimation procedures for single-index regression models in presence of randomly right-censored responses. We derive consistency and asymptotic normality of our estimates. The…

统计理论 · 数学 2008-12-18 Olivier Lopez

In many real applications, the distribution of measurement error could vary with each subject or even with each observation so the errors are heteroscedastic. In this paper, we propose a fast algorithm using a simulation-extrapolation…

统计理论 · 数学 2009-02-13 Xiao-Feng Wang , Jiayang Sun , Zhaozhi Fan
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