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An Orthogonal Least Squares (OLS) based feature selection method is proposed for both binomial and multinomial classification. The novel Squared Orthogonal Correlation Coefficient (SOCC) is defined based on Error Reduction Ratio (ERR) in…

机器学习 · 计算机科学 2021-11-09 Sikai Zhang , Zi-Qiang Lang

The cost of both generalized least squares (GLS) and Gibbs sampling in a crossed random effects model can easily grow faster than $N^{3/2}$ for $N$ observations. Ghosh et al. (2020) develop a backfitting algorithm that reduces the cost to…

统计方法学 · 统计学 2021-12-30 Swarnadip Ghosh , Trevor Hastie , Art B. Owen

Deep learning research has uncovered the phenomenon of benign overfitting for overparameterized statistical models, which has drawn significant theoretical interest in recent years. Given its simplicity and practicality, the ordinary least…

统计理论 · 数学 2024-05-31 Dennis Shen , Dogyoon Song , Peng Ding , Jasjeet S. Sekhon

Sequential data collection has emerged as a widely adopted technique for enhancing the efficiency of data gathering processes. Despite its advantages, such data collection mechanism often introduces complexities to the statistical inference…

统计理论 · 数学 2023-11-09 Mufang Ying , Koulik Khamaru , Cun-Hui Zhang

Ordinal data are quite common in applied statistics. Although some model selection and regularization techniques for categorical predictors and ordinal response models have been developed over the past few years, less work has been done…

统计方法学 · 统计学 2024-07-26 Aisouda Hoshiyar , Laura H. Gertheiss , Jan Gertheiss

The main object of investigation in this paper is a very general regression model in optional setting - when an observed process is an optional semimartingale depending on an unknown parameter. It is well-known that statistical data may…

统计理论 · 数学 2021-03-16 Mohamed Abdelghani , Alexander Melnikov , Andrey Pak

In theory, two-stage least squares (TSLS) identifies a weighted average of covariate-specific local average treatment effects (LATEs) from a saturated specification, without making parametric assumptions on how available covariates enter…

计量经济学 · 经济学 2024-12-03 Tom Boot , Didier Nibbering

The panel data regression models have gained increasing attention in different areas of research including but not limited to econometrics, environmental sciences, epidemiology, behavioral and social sciences. However, the presence of…

统计方法学 · 统计学 2020-11-24 Beste Hamiye Beyaztas , Soutir Bandyopadhyay

Economists often interpret estimates from linear regressions with log dependent variables as elasticities. However, the coefficients from log-log regressions estimate the elasticity of the geometric mean of $y_i|x_i$, not the arithmetic…

计量经济学 · 经济学 2026-03-16 Ellen Munroe , Alexander Newton , Meet Shah

Dynamic logit models are popular tools in economics to measure state dependence. This paper introduces a new method to derive moment restrictions in a large class of such models with strictly exogenous regressors and fixed effects. We…

计量经济学 · 经济学 2023-12-05 Kevin Dano

We consider ordered logit models for directed network data that allow for flexible sender and receiver fixed effects that can vary arbitrarily across outcome categories. This structure poses a significant incidental parameter problem,…

计量经济学 · 经济学 2025-07-23 Chris Muris , Cavit Pakel , Qichen Zhang

Point forecast reconciliation of collection of time series with linear aggregation constraints has evolved substantially over the last decade. A few commonly used methods are GLS (generalized least squares), OLS (ordinary least squares),…

统计方法学 · 统计学 2021-03-23 Shanika L Wickramasuriya

To estimate the causal effect of an endogenous treatment using clustered data, the canonical two-stage least squares (2sls) estimates a linear regression of the outcome on treatment status using an instrumental variable (IV) and conducts…

统计方法学 · 统计学 2026-04-03 Anqi Zhao , Peng Ding , Fan Li

Modern deep learning has revealed a surprising statistical phenomenon known as benign overfitting, with high-dimensional linear regression being a prominent example. This paper contributes to ongoing research on the ordinary least squares…

统计理论 · 数学 2024-11-12 Letian Yang , Dennis Shen

We introduce the bivariate unit-log-symmetric model based on the bivariate log-symmetric distribution (BLS) defined in [Vila et al., 2022, Bivariate Log-symmetric Models: Theoretical Properties and Parameter Estimation. Avaliable at…

统计方法学 · 统计学 2023-01-19 Roberto Vila , Narayanaswamy Balakrishnan , Helton Saulo , Peter Zörnig

Ordinary least square (OLS), maximum likelihood (ML) and robust methods are the widely used methods to estimate the parameters of a linear regression model. It is well known that these methods perform well under some distributional…

其他统计学 · 统计学 2018-01-29 Şenay Özdemir , Olcay Arslan

Scalar-on-function logistic regression, where the response is a binary outcome and the predictor consists of random curves, has become a general framework to explore a linear relationship between the binary outcome and functional predictor.…

统计方法学 · 统计学 2022-04-07 Muge Mutis , Ufuk Beyaztas , Gulhayat Golbasi Simsek , Han Lin Shang

We show, using three empirical applications, that linear regression estimates predicated on the assumption of sparsity are fragile in two ways. First, we document that different choices of the regressor matrix which do not impact ordinary…

计量经济学 · 经济学 2026-05-14 Michal Kolesár , Ulrich K. Müller , Sebastian T. Roelsgaard

We consider the evaluation of laboratory practice through the comparison of measurements made by participating metrology laboratories when the measurement procedures are considered to have both fixed effects (the residual error due to…

应用统计 · 统计学 2012-05-09 John F Clare , Annette Koo , Robert B Davies

High-dimensional compositional data are commonplace in the modern omics sciences amongst others. Analysis of compositional data requires a proper choice of orthonormal coordinate representation as their relative nature is not compatible…