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Related papers: Leave-out estimation of variance components

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We study identification and estimation of endogenous linear and nonlinear regression models without excluded instrumental variables, based on the standard mean independence condition and a nonlinear relevance condition. Based on the…

Econometrics · Economics 2023-08-01 Wayne Yuan Gao , Rui Wang

Linear mixed-effects models are widely used in analyzing repeated measures data, including clustered and longitudinal data, where inferences of both fixed effects and variance components are of importance. Unlike the fixed effect inference…

Methodology · Statistics 2022-08-31 J. Zhang , W. Guo , J. S. Carpenter , Andrew Leroux , K. R. Merikangas , N. G. Martin , I. B. Hickie , H. Shou , H. Li

Modern statistical applications involving large data sets have focused attention on statistical methodologies which are both efficient computationally and able to deal with the screening of large numbers of different candidate models. Here…

Methodology · Statistics 2014-02-26 David J. Nott , Minh-Ngoc Tran , Chenlei Leng

In this paper, we derive closed-form estimators for the parameters of some probability distributions belonging to the exponential family. A bootstrap bias-reduced version of these proposed closed-form estimators are also derived. A Monte…

Methodology · Statistics 2024-05-24 Roberto Vila , Eduardo Nakano , Helton Saulo

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…

Methodology · Statistics 2024-12-11 Yikun Zhang , Alexander Giessing , Yen-Chi Chen

Generalized linear models are flexible tools for the analysis of diverse datasets, but the classical formulation requires that the parametric component is correctly specified and the data contain no atypical observations. To address these…

Methodology · Statistics 2023-04-21 Ioannis Kalogridis , Gerda Claeskens , Stefan Van Aelst

In this paper we propose a general series method to estimate a semiparametric partially linear varying coefficient model. We establish the consistency and \sqrtn-normality property of the estimator of the finite-dimensional parameters of…

Statistics Theory · Mathematics 2007-06-13 Ibrahim Ahmad , Sittisak Leelahanon , Qi Li

In additive models with many nonparametric components, a number of regularized estimators have been proposed and proven to attain various error bounds under different combinations of sparsity and fixed smoothness conditions. Some of these…

Statistics Theory · Mathematics 2020-11-16 Yisha Yao , Cun-Hui Zhang

Consider a process, stochastic or deterministic, obtained by using a numerical integration scheme, or from Monte-Carlo methods involving an approximation to an integral, or a Newton-Raphson iteration to approximate the root of an equation.…

Computational Finance · Quantitative Finance 2010-06-17 Don McLeish

We derive a maximum a posteriori estimator for the linear observation model, where the signal and noise covariance matrices are both uncertain. The uncertainties are treated probabilistically by modeling the covariance matrices with prior…

Statistics Theory · Mathematics 2014-03-12 Dave Zachariah , Nafiseh Shariati , Mats Bengtsson , Magnus Jansson , Saikat Chatterjee

In this paper, we propose a class of high breakdown point estimators for the linear regression model when the response variable contains censored observations. These estimators are robust against high-leverage outliers and they generalize…

Statistics Theory · Mathematics 2008-12-18 Matías Salibian-Barrera , Víctor J. Yohai

High-dimensional multivariate longitudinal data, which arise when many outcome variables are measured repeatedly over time, are becoming increasingly common in social, behavioral and health sciences. We propose a latent variable model for…

Methodology · Statistics 2025-12-09 Sze Ming Lee , Yunxiao Chen , Tony Sit

In the linear random effects model, when distributional assumptions such as normality of the error variables cannot be justified, moments may serve as alternatives to describe relevant distributions in neighborhoods of their means.…

Statistics Theory · Mathematics 2012-03-05 Ping Wu , Winfried Stute , Li-Xing Zhu

We study regression discontinuity designs when covariates are included in the estimation. We examine local polynomial estimators that include discrete or continuous covariates in an additive separable way, but without imposing any…

Econometrics · Economics 2019-07-02 Sebastian Calonico , Matias D. Cattaneo , Max H. Farrell , Rocio Titiunik

The inflated beta regression model is widely used for modeling continuous proportions with values at the boundaries. Maximum likelihood estimation for these models is well-known for its sensitivity to outliers, which can severely distort…

Methodology · Statistics 2026-05-15 Francisco Felipe Queiroz , Silvia Lopes de Paula Ferrari

This article focuses on covariance estimation for multi-study data. Popular approaches employ factor-analytic terms with shared and study-specific loadings that decompose the variance into (i) a shared low-rank component, (ii)…

Methodology · Statistics 2026-01-26 Lorenzo Mauri , Niccolò Anceschi , David B. Dunson

Inference for functional linear models in the presence of heteroscedastic errors has received insufficient attention given its practical importance; in fact, even a central limit theorem has not been studied in this case. At issue,…

Statistics Theory · Mathematics 2024-05-27 Hyemin Yeon , Xiongtao Dai , Daniel John Nordman

One popular approach for nonstructural economic and financial forecasting is to include a large number of economic and financial variables, which has been shown to lead to significant improvements for forecasting, for example, by the…

Machine Learning · Statistics 2011-06-21 Song Song , Peter J. Bickel

In covariance matrix estimation, one of the challenges lies in finding a suitable model and an efficient estimation method. Two commonly used modelling approaches in the literature involve imposing linear restrictions on the covariance…

Statistics Theory · Mathematics 2024-05-09 Piotr Zwiernik

Robust estimators of large covariance matrices are considered, comprising regularized (linear shrinkage) modifications of Maronna's classical M-estimators. These estimators provide robustness to outliers, while simultaneously being…

Statistics Theory · Mathematics 2018-07-04 Nicolas Auguin , David Morales-Jimenez , Matthew R. McKay , Romain Couillet