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This paper presents a score-based weighted likelihood estimator (SWLE) for robust estimations of generalized linear model (GLM) for insurance loss data. The SWLE exhibits a limited sensitivity to the outliers, theoretically justifying its…

统计方法学 · 统计学 2022-04-25 Tsz Chai Fung

Linear regression is widely used to model relationships between responses and predictors. In modern applications, one encounters data where the responses are non-Euclidean random objects situated in a metric space, paired with Euclidean…

统计方法学 · 统计学 2026-05-20 Wookyeong Song , Paromita Dubey , Hans-Georg Müller , Alexander Petersen

We propose generalized additive partial linear models for complex data which allow one to capture nonlinear patterns of some covariates, in the presence of linear components. The proposed method improves estimation efficiency and increases…

统计理论 · 数学 2014-05-26 Li Wang , Lan Xue , Annie Qu , Hua Liang

Machine learning and data analysis have been used in many robotics fields, especially for modelling. Data are usually the result of sensor measurements and, as such, they might be subjected to noise and outliers. The presence of outliers…

机器人学 · 计算机科学 2019-08-26 Francesco Cursi , Guang-Zhong Yang

Nonnegative Boltzmann machines (NNBMs) are recurrent probabilistic neural network models that can describe multi-modal nonnegative data. NNBMs form rectified Gaussian distributions that appear in biological neural network models, positive…

机器学习 · 统计学 2016-03-09 Muneki Yasuda

We propose a general nonparametric Bayesian framework for binary regression, which is built from modeling for the joint response-covariate distribution. The observed binary responses are assumed to arise from underlying continuous random…

统计方法学 · 统计学 2016-09-06 Maria DeYoreo , Athanasios Kottas

Regression classes modeling more than the mean of the response have found a lot of attention in the last years. Expectile regression is a special and computationally convenient case of this family of models. Expectiles offer a quantile-like…

统计方法学 · 统计学 2013-12-19 Elisabeth Waldmann , Fabian Sobotka , Thomas Kneib

This paper is concerned with model averaging estimation for partially linear functional score models. These models predict a scalar response using both parametric effect of scalar predictors and non-parametric effect of a functional…

统计方法学 · 统计学 2021-05-04 Shishi Liu , Hao Zhang , Jingxiao Zhang

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

Negative binomial regression is commonly employed to analyze overdispersed count data. With small to moderate sample sizes, the maximum likelihood estimator of the dispersion parameter may be subject to a significant bias, that in turn…

统计方法学 · 统计学 2020-11-06 Euloge Clovis Kenne Pagui , Alessandra Salvan , Nicola Sartori

Undirected graphical models are powerful tools for uncovering complex relationships among high-dimensional variables. This paper aims to fully recover the structure of an undirected graphical model when the data naturally take matrix form,…

统计方法学 · 统计学 2025-08-08 Minsub Shin , Johan Lim , Seongoh Park

Data transformations are essential for broad applicability of parametric regression models. However, for Bayesian analysis, joint inference of the transformation and model parameters typically involves restrictive parametric transformations…

统计方法学 · 统计学 2024-08-29 Daniel R. Kowal , Bohan Wu

In this paper, we propose a statistical theory on measurement and estimation of Rayleigh fading channels in wireless communications and provide complete solutions to the fundamental problems: What is the optimum estimator for the…

统计理论 · 数学 2007-07-03 Xinjia Chen , Guoxiang Gu , Kemin Zhou

Shallow seismic sources excite Rayleigh wave ground motion with azimuthally dependent radiation patterns. We place binary hypothesis tests on theoretical models of such radiation patterns to screen cylindrically symmetric sources (like…

地球物理 · 物理学 2021-03-22 Joshua D Carmichael

In this paper we have proposed a general class of modified regression type estimator in systematic sampling under non-response to estimate the population mean using auxiliary information. The expressions of bias and mean square error (MSE)…

统计方法学 · 统计学 2013-06-27 Hemant Verma , R. D. Singh , Rajesh Singh

In this paper, we aim to estimate the direction of an underlying signal from its nonlinear observations following the semi-parametric single index model (SIM). Unlike conventional compressed sensing where the signal is assumed to be sparse,…

机器学习 · 计算机科学 2022-06-02 Jiulong Liu , Zhaoqiang Liu

As regression is a widely studied problem, many methods have been proposed to solve it, each of them often requiring setting different hyper-parameters. Therefore, selecting the proper method for a given application may be very difficult…

机器学习 · 计算机科学 2026-03-23 Nassime Mountasir , Baptiste Lafabregue , Bruno Albert , Nicolas Lachiche

Quantile regression provides a framework for modeling statistical quantities of interest other than the conditional mean. The regression methodology is well developed for linear models, but less so for nonparametric models. We consider…

统计理论 · 数学 2009-09-29 Mi-Ok Kim

Discrete data are abundant and often arise as counts or rounded data. These data commonly exhibit complex distributional features such as zero-inflation, over-/under-dispersion, boundedness, and heaping, which render many parametric models…

统计方法学 · 统计学 2023-02-27 Daniel R. Kowal , Bohan Wu

A formalism is introduced for the non-perturbative, purely numerical, solution of the reduced Rayleigh equation for the scattering of light from two-dimensional penetrable rough surfaces. As an example, we apply this formalism to study the…

光学 · 物理学 2012-05-03 Tor Nordam , Paul Anton Letnes , Ingve Simonsen