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This note examines the behavior of generalization capabilities - as defined by out-of-sample mean squared error (MSE) - of Linear Gaussian (with a fixed design matrix) and Linear Least Squares regression. Particularly, we consider a…

统计理论 · 数学 2021-09-21 Karthik Duraisamy

This paper builds on recent research that focuses on regression modeling of continuous bounded data, such as proportions measured on a continuous scale. Specifically, it deals with beta regression models with mixed effects from a Bayesian…

Linear mixed effects models are widely used in statistical modelling. We consider a mixed effects model with Bayesian variable selection in the random effects using spike-and-slab priors and developed a variational Bayes inference scheme…

统计方法学 · 统计学 2024-08-15 M-Z. Spyropoulou , J. Hopker , J. E. Griffin

We consider a small area estimation model under square-root transformation in the presence of functional measurement error. When measurement error is present, the Bayes predictor can no longer be used as it depends on the covariates even if…

统计方法学 · 统计学 2023-09-27 Ka Long Keith Ho , Masayo Y. Hirose , Malay Ghosh

We introduce a new approach for comparing the predictive accuracy of two nested models that bypasses the difficulties caused by the degeneracy of the asymptotic variance of forecast error loss differentials used in the construction of…

计量经济学 · 经济学 2023-10-17 Jean-Yves Pitarakis

This paper suggests parametrically transformed nested error regression models (TNERM), which transform the data flexibly to follow the normal linear mixed regression. We provide a procedure for estimating consistently the parameters of the…

统计方法学 · 统计学 2018-03-14 Shonosuke Sugasawa , Tatsuya Kubokawa

We introduce a new approach to a linear-circular regression problem that relates multiple linear predictors to a circular response. We follow a modeling approach of a wrapped normal distribution that describes angular variables and angular…

统计方法学 · 统计学 2019-09-17 Ali Esmaieeli Sikaroudi , Chiwoo Park

We assume the direct sum <A> o <B> for the signal subspace. As a result of post- measurement, a number of operational contexts presuppose the a priori knowledge of the LB -dimensional "interfering" subspace <B> and the goal is to estimate…

应用统计 · 统计学 2017-04-17 Guillaume Bouleux , Rémy Boyer

We consider a finite mixture model with varying mixing probabilities. Linear regression models are assumed for observed variables with coefficients depending on the mixture component the observed subject belongs to. A modification of the…

概率论 · 数学 2016-01-07 Daryna Liubashenko , Rostyslav Maiboroda

Negative binomial regression is commonly employed to analyze overdispersed count data. With small to moderate sample sizes, the maximum likelihood estimator of the dispersion parameter may be subject to a significant bias, that in turn…

统计方法学 · 统计学 2020-11-06 Euloge Clovis Kenne Pagui , Alessandra Salvan , Nicola Sartori

Estimation of causal effects using machine learning methods has become an active research field in econometrics. In this paper, we study the finite sample performance of meta-learners for estimation of heterogeneous treatment effects under…

计量经济学 · 经济学 2022-02-01 Gabriel Okasa

In small area estimation, it is a smart strategy to rely on data measured over time. However, linear mixed models struggle to properly capture time dependencies when the number of lags is large. Given the lack of published studies…

This paper introduces empirical best predictors of small area bivariate parameters, like ratios of sums or sums of ratios, by assuming that the target unit-level vector follows a bivariate nested error regression model. The corresponding…

统计方法学 · 统计学 2020-12-02 M. D. Esteban , M. J. Lombardía , E. López-Vizcaíno , D. Morales , A. Pérez

Sample surveys are widely used to obtain information about totals, means, medians, and other parameters of finite populations. In many applications, similar information is desired for subpopulations such as individuals in specific…

统计方法学 · 统计学 2017-05-30 Jiahua Chen , Yukun Liu

Linear mixed effects are considered excellent predictors of cluster-level parameters in various domains. However, previous work has shown that their performance can be seriously affected by departures from modelling assumptions. Since the…

统计方法学 · 统计学 2022-07-27 Katarzyna Reluga , Stefan Sperlich

When doing impact evaluation and making causal inferences, it is important to acknowledge the heterogeneity of the treatment effects for different domains (geographic, socio-demographic, or socio-economic). If the domain of interest is…

统计方法学 · 统计学 2021-03-12 Setareh Ranjbar , Nicola Salvati , Barbara Pacini

In statistical exercises where there are several candidate models, the traditional approach is to select one model using some data driven criterion and use that model for estimation, testing and other purposes, ignoring the variability of…

统计理论 · 数学 2008-12-18 Snigdhansu Chatterjee , Nitai D. Mukhopadhyay

Subsampling algorithms for various parametric regression models with massive data have been extensively investigated in recent years. However, all existing studies on subsampling heavily rely on clean massive data. In practical…

统计理论 · 数学 2025-06-11 Jiangshan Ju , Mingqiu Wang , Shengli Zhao

We propose a unified, yet simple to code, non-conjugate variational Bayes algorithm for posterior approximation of generic Bayesian generalized mixed effect models. Specifically, we consider regression models identified by a linear…

统计方法学 · 统计学 2025-10-14 Cristian Castiglione , Mauro Bernardi

Generalized linear models are a popular tool in applied statistics, with their maximum likelihood estimators enjoying asymptotic Gaussianity and efficiency. As all models are wrong, it is desirable to understand these estimators' behaviours…

统计方法学 · 统计学 2024-12-10 Elliot H. Young , Rajen D. Shah