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Nonlinear regression analysis is a popular and important tool for scientists and engineers. In this article, we introduce theories and methods of nonlinear regression and its statistical inferences using the frequentist and Bayesian…

统计方法学 · 统计学 2024-02-09 Hsin-Hsiung Huang , Qing He

We estimate the temperature sensitivity of residential electricity demand during extreme temperature events using the distribution-to-scalar regression model. Rather than relying on simple averages or individual quantile statistics of raw…

计量经济学 · 经济学 2025-03-11 Kyungsik Nam , Won-Ki Seo

Climate projections using data driven machine learning models acting as emulators, is one of the prevailing areas of research to enable policy makers make informed decisions. Use of machine learning emulators as surrogates for…

机器学习 · 计算机科学 2023-08-24 Anmol Chaure , Ashok Kumar Behera , Sudip Bhattacharya

Many scientific problems involve data exhibiting both temporal and cross-sectional dependencies. While linear dependencies have been extensively studied, the theoretical analysis of regression estimators under nonlinear dependencies remains…

统计理论 · 数学 2025-02-27 Marie-Christine Düker , Adam Waterbury

Changes on temperature patterns, on a local scale, are perceived by individuals as the most direct indicators of global warming and climate change. As a specific example, for an Atlantic climate location, spring and fall seasons should…

统计方法学 · 统计学 2022-11-22 Andrea Meilán-Vila , Rosa M. Crujeiras , Mario Francisco-Fernández

Nonlinear regression is a useful statistical tool, relating observed data and a nonlinear function of unknown parameters. When the parameter-dependent nonlinear function is computationally intensive, a straightforward regression analysis by…

应用统计 · 统计学 2009-01-26 Dorin Drignei , Chris E. Forest , Doug Nychka

Variations in the low- and high-frequency components of temperature may have distinct impacts on economic outcomes. Parametric and non-parametric estimates from three panels of data all find significant heterogeneity in the relative…

综合经济学 · 经济学 2026-04-13 Nikolay Gospodinov , Ignacio Lopez Gaffney , Serena Ng

Standard (black-box) regression models may not necessarily suffice for accurate identification and prediction of thermal dynamics in buildings. This is particularly apparent when either the flow rate or the inlet temperature of the thermal…

系统与控制 · 计算机科学 2016-08-11 Georgios C. Chasparis , Thomas Natschlaeger

This paper is concerned with a contemporary Bayesian approach to the effect of temperature on developmental rates. We develop statistical methods using recent computational tools to model four commonly used ecological non-linear…

应用统计 · 统计学 2021-05-03 Marios Kondakis , Nikolaos Demiris , Ioannis Ntzoufras , Nikos E. Papanikolaou

Stochastic generators are useful for estimating climate impacts on various sectors. Projecting climate risk in various sectors, e.g. energy systems, requires generators that are accurate (statistical resemblance to ground-truth), reliable…

机器学习 · 计算机科学 2024-10-22 Emmanuel Balogun , Ram Rajagopal , Arun Majumdar

In many remote sensing applications one wants to estimate variables or parameters of interest from observations. When the target variable is available at a resolution that matches the remote sensing observations, standard algorithms such as…

We study nonlinear regression of real valued data in an individual sequence manner, where we provide results that are guaranteed to hold without any statistical assumptions. We address the convergence and undertraining issues of…

机器学习 · 计算机科学 2014-10-08 N. Denizcan Vanli , Muhammed O. Sayin , Suleyman S. Kozat

Regression of data generated in simulations or experiments has important implications in sensitivity studies, uncertainty analysis, and prediction accuracy. Depending on the nature of the physical model, data points may not be evenly…

数据分析、统计与概率 · 物理学 2020-04-16 Palash Panja , Pranay Asai , Raul Velasco , Milind Deo

In this paper, we assess whether using non-linear dimension reduction techniques pays off for forecasting inflation in real-time. Several recent methods from the machine learning literature are adopted to map a large dimensional dataset…

计量经济学 · 经济学 2021-12-03 Niko Hauzenberger , Florian Huber , Karin Klieber

This paper studies a regression model with functional dependent and explanatory variables, both of which exhibit nonstationary dynamics. The model assumes that the nonstationary stochastic trends of the dependent variable are explained by…

统计方法学 · 统计学 2025-10-02 Kyungsik Nam , Won-Ki Seo

Heat waves resulting from prolonged extreme temperatures pose a significant risk to human health globally. Given the limitations of observations of extreme temperature, climate models are often used to characterize extreme temperature…

统计方法学 · 统计学 2020-05-08 Mark Risser

Non linear regression models are a standard tool for modeling real phenomena, with several applications in machine learning, ecology, econometry... Estimating the parameters of the model has garnered a lot of attention during many years. We…

统计理论 · 数学 2020-09-17 Peggy Cénac , Antoine Godichon-Baggioni , Bruno Portier

Empirical growth analysis has three major problems --- variable selection, parameter heterogeneity and cross-sectional dependence --- which are addressed independently from each other in most studies. The purpose of this study is to propose…

计量经济学 · 经济学 2019-03-20 Guohua Feng , Jiti Gao , Bin Peng

We develop a unifying framework for Bayesian nonparametric regression to study the rates of contraction with respect to the integrated $L_2$-distance without assuming the regression function space to be uniformly bounded. The framework is…

统计理论 · 数学 2019-04-30 Fangzheng Xie , Wei Jin , Yanxun Xu

We propose an extension of the non-homogeneous Gaussian regression (NGR) model by Gneiting et al. (2005) that yields locally calibrated probabilistic forecasts of tem- perature, based on the output of an ensemble prediction system (EPS).…

应用统计 · 统计学 2014-04-29 Michael Scheuerer , Luca Büermann
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