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We study model selection and model averaging in generalized additive partial linear models (GAPLMs). Polynomial spline is used to approximate nonparametric functions. The corresponding estimators of the linear parameters are shown to be…

Statistics Theory · Mathematics 2011-03-09 Xinyu Zhang , Hua Liang

Factorized information criterion (FIC) is a recently developed approximation technique for the marginal log-likelihood, which provides an automatic model selection framework for a few latent variable models (LVMs) with tractable inference…

Machine Learning · Computer Science 2015-04-23 Kohei Hayashi , Shin-ichi Maeda , Ryohei Fujimaki

Claeskens and Hjort (2003) constructed the focused information criterion (FIC) and developed frequentist model averaging methods using maximum likelihood estimators assuming the observations to be independent and identically distributed.…

Statistics Theory · Mathematics 2018-07-24 S. C. Pandhare , T. V. Ramanathan

In finite samples, the use of a slightly endogenous but highly relevant instrument can reduce mean-squared error (MSE). Building on this observation, I propose a novel moment selection procedure for GMM -- the Focused Moment Selection…

Methodology · Statistics 2026-02-24 Francis J. DiTraglia

We have recently proposed a new information-based approach to model selection, the Frequentist Information Criterion (FIC), that reconciles information-based and frequentist inference. The purpose of this current paper is to provide a…

Data Analysis, Statistics and Probability · Physics 2015-06-23 Paul A. Wiggins

We seek to narrow the gap between parametric and nonparametric modelling of stationary time series processes. The approach is inspired by recent advances in focused inference and model selection techniques. The paper generalises and extends…

Methodology · Statistics 2026-02-20 Gudmund Hermansen , Nils Lid Hjort , Martin Jullum

Regularized m-estimators are widely used due to their ability of recovering a low-dimensional model in high-dimensional scenarios. Some recent efforts on this subject focused on creating a unified framework for establishing oracle bounds,…

Methodology · Statistics 2023-09-06 Eduardo F. Mendes , Gabriel J. P. Pinto

Information criteria, such as Akaike's information criterion and Bayesian information criterion are often applied in model selection. However, their asymptotic behaviors for selecting geostatistical regression models have not been well…

Statistics Theory · Mathematics 2014-12-03 Chih-Hao Chang , Hsin-Cheng Huang , Ching-Kang Ing

Model selection plays an important role in longitudinal data analysis, especially when models are estimated using the generalized method of moments (GMM) in the presence of time-dependent covariates. In this setting, the number of valid…

Methodology · Statistics 2026-05-08 Mahmud Hasan , Mathias Nthiani Muia , Mous-Abou Hamadou , Niloofar Ramezani

Spatial regression models have a variety of applications in several fields ranging from economics to public health. Typically, it is of interest to select important exogenous predictors of the spatially autocorrelated response variable. In…

Methodology · Statistics 2025-10-31 Sagar Pandhare , Divya Kappara , Siuli Mukhopadhyay

Information theoretic criteria (ITC) have been widely adopted in engineering and statistics for selecting, among an ordered set of candidate models, the one that better fits the observed sample data. The selected model minimizes a penalized…

Machine Learning · Statistics 2019-10-10 Andrea Mariani , Andrea Giorgetti , Marco Chiani

Reshef & Reshef recently published a paper in which they present a method called the Maximal Information Coefficient (MIC) that can detect all forms of statistical dependence between pairs of variables as sample size goes to infinity. While…

Machine Learning · Statistics 2013-08-28 Alexander Luedtke , Linh Tran

Model selection is a ubiquitous problem that arises in the application of many statistical and machine learning methods. In the likelihood and related settings, it is typical to use the method of information criteria (IC) to choose the most…

Statistics Theory · Mathematics 2024-08-13 Hien Duy Nguyen

A generalized method of moments (GMM) estimator is unreliable for a large number of moment conditions, that is, it is comparable, or larger than the sample size. While classical GMM literature proposes several provisions to this problem,…

Computation · Statistics 2021-03-11 Masahiro Tanaka

We develop a generalized method of moments (GMM) approach for fast parameter estimation in a new class of Dirichlet latent variable models with mixed data types. Parameter estimation via GMM has been demonstrated to have computational and…

Statistics Theory · Mathematics 2016-03-24 Shiwen Zhao , Barbara E. Engelhardt , Sayan Mukherjee , David B. Dunson

Context-aware recommendation algorithms focus on refining recommendations by considering additional information, available to the system. This topic has gained a lot of attention recently. Among others, several factorization methods were…

Information Retrieval · Computer Science 2015-05-20 Balázs Hidasi , Domonkos Tikk

Many problems in statistics and machine learning can be formulated as model selection problems, where the goal is to choose an optimal parsimonious model among a set of candidate models. It is typical to conduct model selection by…

Methodology · Statistics 2024-04-29 Qingyuan Zhang , Hien Duy Nguyen

The semiparametric linear hazard regression model introduced by McKeague and Sasieni (1994) is an extension of the linear hazard regression model developed by Aalen (1980). Methods of model selection for this type of model are still…

Methodology · Statistics 2026-03-04 Axel Gandy , Nils Lid Hjort

In the information-based paradigm of inference, model selection is performed by selecting the candidate model with the best estimated predictive performance. The success of this approach depends on the accuracy of the estimate of the…

Machine Learning · Statistics 2018-06-11 Colin H. LaMont , Paul A. Wiggins

We consider inference in models defined by approximate moment conditions. We show that near-optimal confidence intervals (CIs) can be formed by taking a generalized method of moments (GMM) estimator, and adding and subtracting the standard…

Econometrics · Economics 2021-01-15 Timothy B. Armstrong , Michal Kolesár
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