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Factor models are widely used across diverse areas of application for purposes that include dimensionality reduction, covariance estimation, and feature engineering. Traditional factor models can be seen as an instance of linear embedding…

统计方法学 · 统计学 2020-08-13 Xingchen Yu , Abel Rodriguez

Semiparametric models are useful in econometrics, social sciences and medicine application. In this paper, a new estimator based on least square methods is proposed to estimate the direction of unknown parameters in semi-parametric models.…

统计方法学 · 统计学 2023-03-10 Jinyue Han , Jun Wang , Wei Gao , Man-Lai Tang

We present a complete framework for determining the asymptotic (or logarithmic) efficiency of estimators of large deviation probabilities and rate functions based on importance sampling. The framework relies on the idea that importance…

统计力学 · 物理学 2021-10-26 Arnaud Guyader , Hugo Touchette

Finite sample bounds on the estimation error of the mean by the empirical mean, uniform over a class of functions, can often be conveniently obtained in terms of Rademacher or Gaussian averages of the class. If a function of n variables has…

概率论 · 数学 2015-03-10 Andreas Maurer

The spectral measure plays a key role in the statistical modeling of multivariate extremes. Estimation of the spectral measure is a complex issue, given the need to obey a certain moment condition. We propose a Euclidean likelihood-based…

统计方法学 · 统计学 2012-04-17 Miguel de Carvalho , Boris Oumow , Johan Segers , Michał Warchoł

Penalized estimation principle is fundamental to high-dimensional problems. In the literature, it has been extensively and successfully applied to various models with only structural parameters. As a contrast, in this paper, we apply this…

统计理论 · 数学 2017-08-03 Jianqing Fan , Runlong Tang , Xiaofeng Shi

Epidemiologists increasingly use causal inference methods that rely on machine learning, as these approaches can relax unnecessary model specification assumptions. While deriving and studying asymptotic properties of such estimators is a…

统计方法学 · 统计学 2025-02-11 Audrey Renson , Lina Montoya , Dana E. Goin , Iván Díaz , Rachael K. Ross

During the past sixty years, a lot of effort has been made regarding the productive efficiency. Such endeavours provided an extensive bibliography on this subject, culminating in two main methods, named the Stochastic Frontier Analysis…

最优化与控制 · 数学 2019-08-14 Anibal Galindro , Micael Santos , Delfim F. M. Torres , Ana Marta-Costa

Although approximate Bayesian computation (ABC) has become a popular technique for performing parameter estimation when the likelihood functions are analytically intractable there has not as yet been a complete investigation of the…

统计理论 · 数学 2011-05-19 Thomas A. Dean , Sumeetpal S. Singh

As the amount of economic and other data generated worldwide increases vastly, a challenge for future generations of econometricians will be to master efficient algorithms for inference in empirical models with large information sets. This…

统计计算 · 统计学 2020-04-27 Dimitris Korobilis , Davide Pettenuzzo

Suppose that we wish to estimate a finite-dimensional summary of one or more function-valued features of an underlying data-generating mechanism under a nonparametric model. One approach to estimation is by plugging in flexible estimates of…

统计方法学 · 统计学 2020-08-28 Hongxiang Qiu , Alex Luedtke , Marco Carone

We consider a semiparametric generalized linear model and study estimation of both marginal and quantile effects in this model. We propose an approximate maximum likelihood estimator, and rigorously establish the consistency, the asymptotic…

统计方法学 · 统计学 2022-04-06 Seong-ho Lee , Yanyuan Ma , Elvezio Ronchetti

This paper studies the use of highly stratified designs for the efficient estimation of a large class of treatment effect parameters that arise in the analysis of experiments. By a "highly stratified" design, we mean experiments in which…

计量经济学 · 经济学 2026-03-30 Yuehao Bai , Jizhou Liu , Azeem M. Shaikh , Max Tabord-Meehan

The family of rank estimators, including Han's maximum rank correlation (Han, 1987) as a notable example, has been widely exploited in studying regression problems. For these estimators, although the linear index is introduced for…

统计理论 · 数学 2019-08-15 Yanqin Fan , Fang Han , Wei Li , Xiao-Hua Zhou

We study asymptotic behavior of one-step $M$-estimators based on samples from arrays of not necessarily identically distributed random variables and representing explicit approximations to the corresponding consistent $M$-estimators. These…

统计理论 · 数学 2016-04-12 Yu. Yu. Linke

We propose a class of estimators for the parameters of a GARCH(p,q) sequence. We show that our estimators are consistent and asymptotically normal under mild conditions. The quasi-maximum likelihood and the likelihood estimators are…

统计理论 · 数学 2007-06-13 István Berkes , Lajos Horváth

In this paper, we consider the problem of estimating parameters of a linear regression model. Using a hybrid systems framework, a hybrid algorithm is proposed allowing the estimate to converge to the exact value of the unknown parameters in…

系统与控制 · 电气工程与系统科学 2026-03-04 Adnane Saoud , Ryan S. Johnson , Ricardo G. Sanfelice

Generalized linear models are flexible tools for the analysis of diverse datasets, but the classical formulation requires that the parametric component is correctly specified and the data contain no atypical observations. To address these…

统计方法学 · 统计学 2023-04-21 Ioannis Kalogridis , Gerda Claeskens , Stefan Van Aelst

This paper discusses the simultaneous inference of mean parameters in a family of distributions with quadratic variance function. We first introduce a class of semiparametric/parametric shrinkage estimators and establish their asymptotic…

统计理论 · 数学 2016-03-31 Xianchao Xie , S. C. Kou , Lawrence Brown

We describe and analyze efficient algorithms for learning a linear predictor from examples when the learner can only view a few attributes of each training example. This is the case, for instance, in medical research, where each patient…

机器学习 · 计算机科学 2010-04-29 Nicolò Cesa-Bianchi , Shai Shalev-Shwartz , Ohad Shamir