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We propose a regression model in which the responses are spherical variables and the covariates include linear and/or spherical variables. A novel link function is introduced by extending the M\"obius transformation on the sphere. This link…

统计方法学 · 统计学 2025-09-09 Shogo Kato , Kassel L. Hingee , Janice L. Scealy , Andrew T. A. Wood

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

In this paper, we propose a new semiparametric regression estimator by using a hybrid technique of a parametric approach and a nonparametric penalized spline method. The overall shape of the true regression function is captured by the…

统计理论 · 数学 2012-02-17 Takuma Yoshida , Kanta Naito

This study considers regression analysis of a circular response with an error-prone linear covariate. Starting with an existing estimator of the circular regression function that assumes error-free covariate, three approaches are proposed…

统计方法学 · 统计学 2025-08-25 Nicholas Woolsey , Xianzheng Huang

In the context of nonparametric regression models with one-sided errors, we consider parametric transformations of the response variable in order to obtain independence between the errors and the covariates. We focus in this paper on…

统计理论 · 数学 2019-01-31 Natalie Neumeyer , Leonie Selk , Charles Tillier

Estimating linear, mean-square continuous functionals is a pivotal challenge in statistics. In high-dimensional contexts, this estimation is often performed under the assumption of exact model sparsity, meaning that only a small number of…

统计理论 · 数学 2025-08-04 Jelena Bradic , Victor Chernozhukov , Whitney K. Newey , Yinchu Zhu

We propose a new semi-parametric distributional regression smoother that is based on a copula decomposition of the joint distribution of the vector of response values. The copula is high-dimensional and constructed by inversion of a pseudo…

统计方法学 · 统计学 2020-06-30 Michael Stanley Smith , Nadja Klein

In this paper, we establish minimax optimal rates of convergence for prediction in a semi-functional linear model that consists of a functional component and a less smooth nonparametric component. Our results reveal that the smoother…

统计理论 · 数学 2021-11-01 Keli Guo , Jun Fan , Lixing Zhu

Extremile regression, as a least squares analog of quantile regression, is potentially useful tool for modeling and understanding the extreme tails of a distribution. However, existing extremile regression methods, as nonparametric…

统计方法学 · 统计学 2025-07-03 Rong Jiang , Keming Yu , Jiangfeng Wang

The linear regression models are widely used statistical techniques in numerous practical applications. The standard regression model requires several assumptions about the regres- sors and the error term. The regression parameters are…

统计方法学 · 统计学 2016-10-23 P. Vellaisamy

In this paper, we deal with nonparametric regression for circular data, meaning that observations are represented by points lying on the unit circle. We propose a kernel estimation procedure with data-driven selection of the bandwidth…

统计理论 · 数学 2023-07-03 Tien Dat Nguyen , Thanh Mai Pham Ngoc , Vincent Rivoirard

This paper develops a class of Bayesian non- and semiparametric methods for estimating regression curves and surfaces. The main idea is to model the regression as locally linear, and then place suitable local priors on the local parameters.…

统计方法学 · 统计学 2026-02-26 Nils Lid Hjort

Recently, Su and Cook proposed a dimension reduction technique called the inner envelope which can be substantially more efficient than the original envelope or existing dimension reduction techniques for multivariate regression. However,…

统计方法学 · 统计学 2022-05-25 Linquan Ma , Hyunseung Kang , Lan Liu

We consider the efficient estimation of the semiparametric additive transformation model with current status data. A wide range of survival models and econometric models can be incorporated into this general transformation framework. We…

统计理论 · 数学 2011-05-09 Guang Cheng , Xiao Wang

This paper presents a novel approach to stochastic volatility (SV) modeling by utilizing nonparametric techniques that enhance our ability to capture the volatility of financial time series data, with a particular emphasis on the…

统计计算 · 统计学 2025-02-18 Yudong Feng , Ashis Gangopadhyay

We introduce a general framework for regression in the errors-in-variables regime, allowing for full flexibility about the dimensionality of the data, observational error probability density types, the (nonlinear) model type and the…

统计方法学 · 统计学 2024-11-19 Wolfgang Hoegele , Sarah Brockhaus

Semi-functional linear regression models postulate a linear relationship between a scalar response and a functional covariate, and also include a non-parametric component involving a univariate explanatory variable. It is of practical…

统计方法学 · 统计学 2023-08-08 Graciela Boente , Matias Salibian-Barrera , Pablo Vena

We focus on semiparametric regression that has played a central role in statistics, and exploit the powerful learning ability of deep neural networks (DNNs) while enabling statistical inference on parameters of interest that offers…

统计理论 · 数学 2025-04-29 Shunxing Yan , Ziyuan Chen , Fang Yao

This paper proposes a semiparametric stochastic volatility (SV) model that relaxes the restrictive Gaussian assumption in both the return and volatility error terms, allowing them to follow flexible, nonparametric distributions with…

统计计算 · 统计学 2025-06-03 Yudong Feng , Ashis Gangopadhyay

We develop a new method to fit the multivariate response linear regression model that exploits a parametric link between the regression coefficient matrix and the error covariance matrix. Specifically, we assume that the correlations…

统计方法学 · 统计学 2021-12-09 Aaron J. Molstad , Guangwei Weng , Charles R. Doss , Adam J. Rothman
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