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In this paper, we suggest an estimator using two auxiliary variables in stratified random sampling. The propose estimator has an improvement over mean per unit estimator as well as some other considered estimators. Expressions for bias and…

应用统计 · 统计学 2014-04-01 Rajesh Singh , Sachin Malik

We present an econometric framework that adapts tools for scenario analysis, such as variants of conditional forecasts and generalized impulse responses, for use with dynamic nonparametric models. The proposed algorithms are based on…

计量经济学 · 经济学 2025-12-01 Michael Pfarrhofer , Anna Stelzer

The James-Stein estimator's dominance over maximum likelihood in terms of mean square error (MSE) has been one of the most celebrated results in modern statistics, suggesting that biased estimators can systematically outperform unbiased…

统计理论 · 数学 2025-08-12 Paul W. Vos

This paper studies the remote state estimation problem of linear time-invariant systems with stochastic event-triggered sensor schedules in the presence of packet drops between the sensor and the estimator. It is shown that the system state…

最优化与控制 · 数学 2019-04-04 Liang Xu , Yilin Mo , Lihua Xie

The errors-in-variables (EIV) regression model, being more realistic by accounting for measurement errors in both the dependent and the independent variables, is widely adopted in applied sciences. The traditional EIV model estimators,…

统计方法学 · 统计学 2015-08-13 Hao Han , Wei Zhu

The use of prior information in the linear regression is well known to provide more efficient estimators of regression coefficients. The methods of non-stochastic restricted regression estimation proposed by Theil and Goldberger (1961) are…

应用统计 · 统计学 2017-10-12 Yetkin Tuaç , Olcay Arslan

Empirical economic research frequently applies maximum likelihood estimation in cases where the likelihood function is analytically intractable. Most of the theoretical literature focuses on maximum simulated likelihood (MSL) estimators,…

计量经济学 · 经济学 2019-08-13 Michael Griebel , Florian Heiss , Jens Oettershagen , Constantin Weiser

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 machine learning and data mining, linear models have been widely used to model the response as parametric linear functions of the predictors. To relax such stringent assumptions made by parametric linear models, additive models consider…

机器学习 · 统计学 2017-10-18 Sheng Chen , Arindam Banerjee

The cosine router in Mixture of Experts (MoE) has recently emerged as an attractive alternative to the conventional linear router. Indeed, the cosine router demonstrates favorable performance in image and language tasks and exhibits better…

机器学习 · 统计学 2025-03-06 Huy Nguyen , Pedram Akbarian , Trang Pham , Trang Nguyen , Shujian Zhang , Nhat Ho

In this paper, we consider the beta prime regression model recently proposed by \cite{bour18}, which is tailored to situations where the response is continuous and restricted to the positive real line with skewed and long tails and the…

统计方法学 · 统计学 2020-08-28 Francisco M. C. Medeiros , Mariana C. Araújo , Marcelo Bourguignon

In this paper, we focus on the variable selection techniques for a class of semiparametric spatial regression models which allow one to study the effects of explanatory variables in the presence of the spatial information. The spatial…

统计方法学 · 统计学 2021-06-03 Guannan Wang , Jue Wang

Inverse Optimization (IO) is a framework for learning the unknown objective function of an expert decision-maker from a past dataset. In this paper, we extend the hypothesis class of IO objective functions to a reproducing kernel Hilbert…

机器学习 · 计算机科学 2024-11-01 Youyuan Long , Tolga Ok , Pedro Zattoni Scroccaro , Peyman Mohajerin Esfahani

We investigate the finite sample performance of sample splitting, cross-fitting and averaging for the estimation of the conditional average treatment effect. Recently proposed methods, so-called meta-learners, make use of machine learning…

统计方法学 · 统计学 2020-08-27 Daniel Jacob

In this paper we consider a semiparametric regression model involving a $d$-dimensional quantitative explanatory variable $X$ and including a dimension reduction of $X$ via an index $\beta'X$. In this model, the main goal is to estimate the…

统计理论 · 数学 2011-01-13 Azaïs Romain , Gégout-Petit Anne , Saracco Jérôme

The paper considers functional linear regression, where scalar responses $Y_1,...,Y_n$ are modeled in dependence of random functions $X_1,...,X_n$. We propose a smoothing splines estimator for the functional slope parameter based on a…

统计理论 · 数学 2009-02-26 Christophe Crambes , Alois Kneip , Pascal Sarda

The computational complexity of simultaneous inference methods in high-dimensional linear regression models quickly increases with the number variables. This paper proposes a computationally efficient method based on the Moore-Penrose…

统计理论 · 数学 2021-02-02 Tom Boot , Didier Nibbering

We build penalized least-squares estimators using the slope heuristic and resampling penalties. We prove oracle inequalities for the selected estimator with leading constant asymptotically equal to 1. We compare the practical performances…

统计理论 · 数学 2015-03-13 Matthieu Lerasle

Non-uniform sampling arises when an experimenter does not have full control over the sampling characteristics of the process under investigation. Moreover, it is introduced intentionally in algorithms such as Bayesian optimization and…

机器学习 · 统计学 2020-07-03 Stijn de Waele

This paper addresses the robust estimation of linear regression models in the presence of potentially endogenous outliers. Through Monte Carlo simulations, we demonstrate that existing $L_1$-regularized estimation methods, including the…

计量经济学 · 经济学 2024-08-08 Zhan Gao , Hyungsik Roger Moon