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The paper introduces a new estimation method for the standard linear regression model. The procedure is not driven by the optimisation of any objective function rather, it is a simple weighted average of slopes from observation pairs. The…

计量经济学 · 经济学 2024-02-27 Felix Chan , Laszlo Matyas

This study proposes an econometric framework to interpret and empirically decompose the difference between IV and OLS estimates given by a linear regression model when the true causal effects of the treatment are nonlinear in treatment…

计量经济学 · 经济学 2022-06-27 Shoya Ishimaru

Model averaging methods have become an increasingly popular tool for improving predictions and dealing with model uncertainty, especially in Bayesian settings. Recently, frequentist model averaging methods such as information theoretic and…

计量经济学 · 经济学 2024-04-18 Kevin Huynh

Regression models with crossed random effect errors can be very expensive to compute. The cost of both generalized least squares and Gibbs sampling can easily grow as $N^{3/2}$ (or worse) for $N$ observations. Papaspiliopoulos et al. (2020)…

统计方法学 · 统计学 2021-03-22 Swarnadip Ghosh , Trevor Hastie , Art B. Owen

Partial Least Squares (PLS) methods have been heavily exploited to analyse the association between two blocs of data. These powerful approaches can be applied to data sets where the number of variables is greater than the number of…

机器学习 · 统计学 2017-02-24 Pierre Lafaye de Micheaux , Benoit Liquet , Matthew Sutton

Covariate adjustment is a general method for improving precision when estimating treatment effects in randomized trials and is recommended by the FDA in its 2023 guidance when baseline variables are prognostic for the primary outcome. We…

Distributed lag models (DLMs) express the cumulative and delayed dependence between pairs of time-indexed response and explanatory variables. In practical application, users of DLMs examine the estimated influence of a series of lagged…

应用统计 · 统计学 2018-01-23 Alastair Rushworth

Even though practitioners often estimate Pareto exponents running OLS rank-size regressions, the usual recommendation is to use the Hill MLE with a small-sample correction instead, due to its unbiasedness and efficiency. In this paper, we…

统计方法学 · 统计学 2024-09-18 Thiago Trafane Oliveira Santos , Daniel Oliveira Cajueiro

Estimating model accuracy on unseen, unlabeled datasets is crucial for real-world machine learning applications, especially under distribution shifts that can degrade performance. Existing methods often rely on predicted class probabilities…

机器学习 · 计算机科学 2025-08-28 Chenzhi Liu , Mahsa Baktashmotlagh , Yanran Tang , Zi Huang , Ruihong Qiu

Binary logit (BNL) and multinomial logit (MNL) models are the two most widely used discrete choice models for travel behavior modeling and prediction. However, in many scenarios, the collected data for those models are subject to…

最优化与控制 · 数学 2025-06-02 Baichuan Mo , Yunhan Zheng , Xiaotong Guo , Ruoyun Ma , Jinhua Zhao

We consider the problem of estimating and inferring treatment effects in randomized experiments. In practice, stratified randomization, or more generally, covariate-adaptive randomization, is routinely used in the design stage to balance…

统计方法学 · 统计学 2022-09-27 Hanzhong Liu , Fuyi Tu , Wei Ma

Widely used methods for analyzing missing data can be biased in small samples. To understand these biases, we evaluate in detail the situation where a small univariate normal sample, with values missing at random, is analyzed using either…

统计理论 · 数学 2017-03-27 Paul T. von Hippel

This paper considers generalized least squares (GLS) estimation for linear panel data models. By estimating the large error covariance matrix consistently, the proposed feasible GLS (FGLS) estimator is more efficient than the ordinary least…

计量经济学 · 经济学 2020-08-06 Jushan Bai , Sung Hoon Choi , Yuan Liao

Data approximation is essential in fields such as geometric design, numerical PDEs, and curve modeling. Moving Least Squares (MLS) is a widely used method for data fitting; however, its accuracy degrades in the presence of discontinuities,…

数值分析 · 数学 2026-03-05 Inmaculada Garcés , Juan Ruiz-Álvarez , Dionisio F. Yáñez

We give a general result on the effective degrees of freedom for nonlinear least squares estimation, which relates the degrees of freedom to the divergence of the estimator. We show that in a general framework, the divergence of the least…

统计理论 · 数学 2014-12-15 Niels Richard Hansen , Alexander Sokol

In this paper, the problem of robust estimation and validation of location-scale families is revisited. The proposed methods exploit the joint asymptotic normality of sample quantiles (of i.i.d random variables) to construct the ordinary…

统计方法学 · 统计学 2025-07-04 Mohammed Adjieteh , Vytaras Brazauskas

In this paper, we address a data dependent modification of the moving least squares (MLS) problem. We propose a novel approach by replacing the traditional weight functions with new functions that assign smaller weights to nodes that are…

数值分析 · 数学 2024-12-04 David Levin , José M. Ramón , Juan Ruiz-Alvarez , Dionisio F. Yáñez

This paper considers the design of observational longitudinal studies with a continuous response and a binary time-invariant exposure, where, typically, the exposure is unbalanced, the mean response in the two groups differs at baseline and…

统计方法学 · 统计学 2022-09-27 Xavier Basagana , Donna Spiegelman

It has previously been shown that ordinary least squares can be used to estimate the coefficients of the single-index model under only mild conditions. However, the estimator is non-robust leading to poor estimates for some models. In this…

统计方法学 · 统计学 2022-09-13 Marina Masioti , Joshua Davies , Amanda Shaker , Luke A. Prendergast

Structured Latent Attribute Models (SLAMs) are a family of discrete latent variable models widely used in education, psychology, and epidemiology to model multivariate categorical data. A SLAM assumes that multiple discrete latent…

统计方法学 · 统计学 2021-07-12 Yuqi Gu , Gongjun Xu