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Simplicial-simplicial regression refers to the regression setting where both the responses and predictor variables lie within the simplex space, i.e. they are compositional. For this setting, constrained least squares, where the regression…

Methodology · Statistics 2024-12-24 Michail Tsagris

Least absolute deviation regression is applied using a fixed number of points for all values of the index to estimate the index and scale parameter of the stable distribution using regression methods based on the empirical characteristic…

Computation · Statistics 2018-11-06 J. Martin van Zyl

As one of the most commonly seen data challenges, missing data, in particular, multiple, non-monotone missing patterns, complicates estimation and inference due to the fact that missingness mechanisms are often not missing at random, and…

Methodology · Statistics 2025-04-21 Jianing Dong , Raymond K. W. Wong , Kwun Chuen Gary Chan

In this study, we focus on a generalized nonparametric scalar-on-function regression model for heterogeneously distributed and strongly mixing data. We provide almost complete convergence rates for the local linear estimator of the…

Statistics Theory · Mathematics 2026-03-06 Danilo Hiroshi Matsuoka , Hudson da Silva Torrent

This paper considers a multi-environment linear regression model in which data from multiple experimental settings are collected. The joint distribution of the response variable and covariates may vary across different environments, yet the…

Statistics Theory · Mathematics 2024-12-03 Jianqing Fan , Cong Fang , Yihong Gu , Tong Zhang

This paper provides an alternative to penalized estimators for estimation and vari- able selection in high dimensional linear regression models with measurement error or missing covariates. We propose estimation via bias corrected least…

Methodology · Statistics 2016-05-11 Abhishek Kaul , Hira L. Koul , Akshita Chawla , Soumendra N. Lahiri

This paper addresses the problem of providing robust estimators under a functional logistic regression model. Logistic regression is a popular tool in classification problems with two populations. As in functional linear regression,…

Methodology · Statistics 2023-08-16 Graciela Boente , Marina Valdora

Kernel Regularized Least Squares (KRLS) is a popular method for flexibly estimating models that may have complex relationships between variables. However, its usefulness to many researchers is limited for two reasons. First, existing…

Machine Learning · Statistics 2023-09-12 Qing Chang , Max Goplerud

The least trimmed squares (LTS) estimator is a renowned robust alternative to the classic least squares estimator and is popular in location, regression, machine learning, and AI literature. Many studies exist on LTS, including its…

Machine Learning · Statistics 2025-01-10 Yijun Zuo

Five simple soft sensor methodologies with two update conditions were compared on two experimentally-obtained datasets and one simulated dataset. The soft sensors investigated were moving window partial least squares regression (and a…

Machine Learning · Statistics 2019-08-13 Casey Kneale , Steven D. Brown

We consider the estimation of a bounded regression function with nonparametric heteroscedastic noise and random design. We study the true and empirical excess risks of the least-squares estimator on finite-dimensional vector spaces. We give…

Statistics Theory · Mathematics 2015-06-29 Adrien Saumard

We present a novel adaptive random subspace learning algorithm (RSSL) for prediction purpose. This new framework is flexible where it can be adapted with any learning technique. In this paper, we tested the algorithm for regression and…

Machine Learning · Computer Science 2015-02-10 Mohamed Elshrif , Ernest Fokoue

The complexity of semiparametric models poses new challenges to statistical inference and model selection that frequently arise from real applications. In this work, we propose new estimation and variable selection procedures for the…

Statistics Theory · Mathematics 2011-03-09 Bo Kai , Runze Li , Hui Zou

In this article, the parameters of a hybrid log-linear model (log-Poisson) are estimated using the fuzzy least-squares (FLS) procedures (Celmi\c{n}\v{s}, 987a,b, D'Urso and Gastaldi, 2000, DUrso and Gastaldi, 2001). A goodness of fit have…

A novel IV estimation method, that we term Locally Trimmed LS (LTLS), is developed which yields estimators with (mixed) Gaussian limit distributions in situations where the data may be weakly or strongly persistent. In particular, we allow…

Econometrics · Economics 2020-06-24 Zhishui Hu , Ioannis Kasparis , Qiying Wang

In complex survey data, each sampled observation has assigned a sampling weight, indicating the number of units that it represents in the population. Whether sampling weights should or not be considered in the estimation process of model…

Methodology · Statistics 2024-09-20 Amaia Iparragirre , Irantzu Barrio , Jorge Aramendi , Inmaculada Arostegui

In this paper, we propose deep partial least squares for the estimation of high-dimensional nonlinear instrumental variable regression. As a precursor to a flexible deep neural network architecture, our methodology uses partial least…

Methodology · Statistics 2023-06-06 Maria Nareklishvili , Nicholas Polson , Vadim Sokolov

A biomechanical model often requires parameter estimation and selection in a known but complicated nonlinear function. Motivated by observing that data from a head-neck position tracking system, one of biomechanical models, show…

Methodology · Statistics 2024-02-13 Hojun You , Kyubaek Yoon , Wei-Ying Wu , Jongeun Choi , Chae Young Lim

The (relevance) weighted likelihood was introduced to formally embrace a variety of statistical procedures that trade bias for precision. Unlike its classical counterpart, the weighted likelihood combines all relevant information while…

Statistics Theory · Mathematics 2007-06-13 Xiaogang Wang , James V. Zidek

We provide a principled way for investigators to analyze randomized experiments when the number of covariates is large. Investigators often use linear multivariate regression to analyze randomized experiments instead of simply reporting the…

Statistics Theory · Mathematics 2022-06-08 Adam Bloniarz , Hanzhong Liu , Cun-Hui Zhang , Jasjeet Sekhon , Bin Yu