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We implement extensions of the partial least squares generalized linear regression (PLSGLR) due to Bastien et al. (2005) through its combination with logistic regression and linear discriminant analysis, to get a partial least squares…

统计计算 · 统计学 2019-06-20 Adolphus Wagala , Graciela Gonzalez-Farıas , Rogelio Ramos , Oscar Dalmau

Joint misclassification of exposure and outcome variables can lead to considerable bias in epidemiological studies of causal exposure-outcome effects. In this paper, we present a new maximum likelihood based estimator for the marginal…

统计方法学 · 统计学 2019-01-16 Bas B. L. Penning de Vries , Maarten van Smeden , Rolf H. H. Groenwold

When we are interested in high-dimensional system and focus on classification performance, the $\ell_{1}$-penalized logistic regression is becoming important and popular. However, the Lasso estimates could be problematic when penalties of…

机器学习 · 统计学 2020-06-12 Huamei Huang , Yujing Gao , Huiming Zhang , Bo Li

Variance estimation in the linear model when $p > n$ is a difficult problem. Standard least squares estimation techniques do not apply. Several variance estimators have been proposed in the literature, all with accompanying asymptotic…

统计方法学 · 统计学 2014-01-30 Stephen Reid , Robert Tibshirani , Jerome Friedman

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

Subsampling algorithms for various parametric regression models with massive data have been extensively investigated in recent years. However, all existing studies on subsampling heavily rely on clean massive data. In practical…

统计理论 · 数学 2025-06-11 Jiangshan Ju , Mingqiu Wang , Shengli Zhao

The purpose of this paper is to study the convergence of the quasi-maximum likelihood (QML) estimator for long memory linear processes. We first establish a correspondence between the long-memory linear process representation and the…

统计理论 · 数学 2024-05-24 Jean-Marc Bardet , Yves Gael Tchabo Mbienkeu

In this paper, a modification of the conventional approximations to the quasi-maximum likelihood method is introduced for the parameter estimation of diffusion processes from discrete observations. This is based on a convergent…

最优化与控制 · 数学 2013-12-19 J. C. Jimenez

This paper focuses on the problem of recursive nonlinear least squares parameter estimation in multi-agent networks, in which the individual agents observe sequentially over time an independent and identically distributed (i.i.d.)…

最优化与控制 · 数学 2016-10-20 Anit Kumar Sahu , Soummya Kar , Jose' M. F. Moura , H. Vincent Poor

We consider nonsynchronous sampling of parameterized stochastic regression models, which contain stochastic differential equations. Constructing a quasi-likelihood function, we prove that the quasi-maximum likelihood estimator and the Bayes…

统计理论 · 数学 2012-12-21 Teppei Ogihara , Nakahiro Yoshida

This paper discusses asymptotic distributions of various estimators of the underlying parameters in some regression models with long memory (LM) Gaussian design and nonparametric heteroscedastic LM moving average errors. In the simple…

统计理论 · 数学 2008-12-18 Hongwen Guo , Hira L. Koul

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

Data driven soft sensor design has recently gained immense popularity, due to advances in sensory devices, and a growing interest in data mining. While partial least squares (PLS) is traditionally used in the process literature for…

机器学习 · 统计学 2019-04-25 Aysun Urhan , Burak Alakent

The Bayes linear estimator is derived by minimizing the Bayes risk with respect to the squared loss function. Non-unbiased estimators such as ordinary ridge, typical shrinkage, fractional rank, and restricted least squares estimators, as…

统计理论 · 数学 2026-01-15 Hirai Mukasa

We study instrumental-variable designs where policy reforms strongly shift the distribution of an endogenous variable but only weakly move its mean. We formalize this by introducing distributional relevance: instruments may be purely…

计量经济学 · 经济学 2026-02-12 Rowan Cherodian , Guy Tchuente

We consider a resampling scheme for parameters estimates in nonlinear regression models. We provide an estimation procedure which recycles, via random weighting, the relevant parameters estimates to construct consistent estimates of the…

统计方法学 · 统计学 2018-12-18 Ben Boukai , Yue Zhang

A novel regression method is introduced and studied. The procedure weights squared residuals based on their magnitude. Unlike the classic least squares which treats every squared residual equally important, the new procedure exponentially…

统计方法学 · 统计学 2023-12-11 Yijun Zuo , Hanwen Zuo

Least-squares data analysis is based on the assumption that the normal (Gaussian) distribution appropriately characterizes the likelihood, that is, the conditional probability of each measurement d, given a measured quantity y, p(d | y). On…

核实验 · 物理学 2009-11-13 Kenneth M. Hanson

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

In this paper, the Gaussian quasi likelihood ratio test (GQLRT) for non-Bayesian binary hypothesis testing is generalized by applying a transform to the probability distribution of the data. The proposed generalization, called…

统计方法学 · 统计学 2017-11-22 Nir Halay , Koby Todros , Alfred O. Hero