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We study the large sample properties of sparse M-estimators in the presence of pseudo-observations. Our framework covers a broad class of semi-parametric copula models, for which the marginal distributions are unknown and replaced by their…

统计理论 · 数学 2023-06-01 Jean-David Fermanian , Benjamin Poignard

We define two minimum distance estimators for dependent data by minimizing some approximated Maximum Mean Discrepancy distances between the true empirical distribution of observations and their assumed (parametric) model distribution. When…

统计方法学 · 统计学 2026-01-19 Pierre Alquier , Jean-David Fermanian , Benjamin Poignard

In many practical situations we would like to estimate the covariance matrix of a set of variables from an insufficient amount of data. More specifically, if we have a set of $N$ independent, identically distributed measurements of an $M$…

概率论 · 数学 2010-10-05 Thomas L. Marzetta , Gabriel H. Tucci , Steven H. Simon

We consider survival data in the presence of a cure fraction, meaning that some subjects will never experience the event of interest. We assume a mixture cure model consisting of two sub-models: one for the probability of being uncured…

统计方法学 · 统计学 2023-03-17 Eni Musta , Tsz Pang Yuen

The method of extrapolating asymptotic series, based on the Self-Similar Approximation Theory, is developed. Several important questions are answered, which makes the foundation of the method unambiguous and its application straightforward.…

凝聚态物理 · 物理学 2009-11-07 V. I. Yukalov

Extreme-value copulas arise as the limiting dependence structure of component-wise maxima. Defined in terms of a functional parameter, they are one of the most widespread copula families due to their flexibility and ability to capture…

统计方法学 · 统计学 2022-03-25 Javier Fernández Serrano

We study estimation and inference on causal parameters under finely stratified rerandomization designs, which use baseline covariates to match units into groups (e.g. matched pairs), then rerandomize within-group treatment assignments until…

计量经济学 · 经济学 2025-01-07 Max Cytrynbaum

This paper deals with the problem of estimating a slope parameter in a simple linear regression model, where independent variables have functional measurement errors. Measurement errors in independent variables, as is well known, cause…

统计理论 · 数学 2018-04-10 Hisayuki Tsukuma

We study in this paper the function approximation error of multivariate linear extrapolation. The sharp error bound of linear interpolation already exists in the literature. However, linear extrapolation is used far more often in…

最优化与控制 · 数学 2026-05-20 Liyuan Cao , Zaiwen Wen , Ya-xiang Yuan

It is well known that the minimax rates of convergence of nonparametric density and regression function estimation of a random variable measured with error is much slower than the rate in the error free case. Surprisingly, we show that if…

统计理论 · 数学 2019-08-21 Fei Jiang , Yanyuan Ma , Raymond J. Carroll

We consider the estimation of a scalar parameter, when two estimators are available. The first is always consistent. The second is inconsistent in general, but has a smaller asymptotic variance than the first, and may be consistent if an…

统计理论 · 数学 2020-06-29 Clément de Chaisemartin , Xavier D'Haultfœuille

The estimation of unknown parameters in simulations, also known as calibration, is crucial for practical management of epidemics and prediction of pandemic risk. A simple yet widely used approach is to estimate the parameters by minimizing…

统计方法学 · 统计学 2023-06-26 Chih-Li Sung , Ying Hung

We delve into the estimation of the functional coefficients and inference for varying coefficient model. Applying Laguerre series, we develop an estimator for the vector of functional coefficients that attains asymptotically optimal…

统计理论 · 数学 2026-05-04 Rida Benhaddou , Khalid Chokri , Jackson Pinschenat

Functional covariates are common in many medical, biodemographic, and neuroimaging studies. The aim of this paper is to study functional Cox models with right-censored data in the presence of both functional and scalar covariates. We study…

统计方法学 · 统计学 2016-01-28 Simeng Qu , Jane-Ling Wang , Xiao Wang

This paper considers the problem of mismeasured categorical covariates in the context of regression modeling; if unaccounted for, such misclassification is known to result in misestimation of model parameters. Here, we exploit the fact that…

统计理论 · 数学 2017-04-28 P. Richard Hahn , Michelle Xia

We study asymptotic behavior of one-step $M$-estimators based on samples from arrays of not necessarily identically distributed random variables and representing explicit approximations to the corresponding consistent $M$-estimators. These…

统计理论 · 数学 2016-04-12 Yu. Yu. Linke

In this article, we study a partially linear single-index model for longitudinal data under a general framework which includes both the sparse and dense longitudinal data cases. A semiparametric estimation method based on a combination of…

统计理论 · 数学 2015-07-31 Jia Chen , Degui Li , Hua Liang , Suojin Wang

Model error covariances play a central role in the performance of data assimilation methods applied to nonlinear state-space models. However, these covariances are largely unknown in most of the applications. A misspecification of the model…

统计计算 · 统计学 2019-11-06 María Magdalena Lucini , Peter Jan van Leeuwen , Manuel Pulido

We study asymptotic behavior of one-step weighted $M$-estimators based on samples from arrays of not necessarily identically distributed random variables and representing explicit approximations to the corresponding consistent weighted…

统计理论 · 数学 2015-07-07 Yu. Yu. Linke

A constrained multivariate linear model is a multivariate linear model with the columns of its coefficient matrix constrained to lie in a known subspace. This class of models includes those typically used to study growth curves and…

统计方法学 · 统计学 2021-01-05 Dennis Cook , Liliana Forzani , Lan Liu