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In many application areas of extreme value theory, the variables of interest are not directly observable but instead contain errors. In this article, we quantify the effect of these errors in moment-based extreme value index estimation, and…

Statistics Theory · Mathematics 2025-02-13 Jaakko Pere , Pauliina Ilmonen , Lauri Viitasaari

We address the problem of causal effect estimation where hidden confounders are present, with a focus on two settings: instrumental variable regression with additional observed confounders, and proxy causal learning. Our approach uses a…

Machine Learning · Computer Science 2025-03-12 Haotian Sun , Antoine Moulin , Tongzheng Ren , Arthur Gretton , Bo Dai

In model checking for regressions, nonparametric estimation-based tests usually have tractable limiting null distributions and are sensitive to oscillating alternative models, but suffer from the curse of dimensionality. In contrast,…

Methodology · Statistics 2019-03-12 Lingzhu Li , Xuehu Zhu , Lixing Zhu

We show how to achieve the notion of "multicalibration" from H\'ebert-Johnson et al. [2018] not just for means, but also for variances and other higher moments. Informally, it means that we can find regression functions which, given a data…

Machine Learning · Computer Science 2020-08-19 Christopher Jung , Changhwa Lee , Mallesh M. Pai , Aaron Roth , Rakesh Vohra

This paper presents a new estimator of the intercept of a linear regression model in cases where the outcome varaible is observed subject to a selection rule. The intercept is often in this context of inherent interest; for example, in a…

Econometrics · Economics 2018-09-26 Chuan Goh

This paper proposes a constrained maximum likelihood estimator for sequential search models, using the MPEC (Mathematical Programming with Equilibrium Constraints) approach. This method enhances numerical accuracy while avoiding ad hoc…

Econometrics · Economics 2024-09-09 Shinji Koiso , Suguru Otani

Uncertainty in probabilistic classifiers predictions is a key concern when models are used to support human decision making, in broader probabilistic pipelines or when sensitive automatic decisions have to be taken. Studies have shown that…

Machine Learning · Computer Science 2021-09-09 Nicolas Posocco , Antoine Bonnefoy

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…

Optimization and Control · Mathematics 2019-04-04 Liang Xu , Yilin Mo , Lihua Xie

Multivariate elliptically-contoured distributions are widely used for modeling economic and financial data. We study the problem of estimating moment parameters of a semi-parametric elliptical model in a high-dimensional setting. Such…

Methodology · Statistics 2018-12-17 Zheng Tracy Ke , Koushiki Bose , Jianqing Fan

The method of maximum entropy is quite a powerful tool to solve the generalized moment problem, which consists of determining the probability density of a random variable X from the knowledge of the expected values of a few functions of the…

Statistics Theory · Mathematics 2015-10-15 Henryk Gzyl

The sub-Gaussian stable distribution is a heavy-tailed elliptically contoured law which has interesting applications in signal processing and financial mathematics. This work addresses the problem of feasible estimation of distributions. We…

Statistics Theory · Mathematics 2022-08-04 Taras Bodnar , Dmitry Otryakhin , Erik Thorsen

We study inference with a small labeled sample, a large unlabeled sample, and high-quality predictions from an external model. We link prediction-powered inference with empirical likelihood by stacking supervised estimating equations based…

Methodology · Statistics 2025-12-19 Guanghui Wang , Mengtao Wen , Changliang Zou

Modern statistical inference tasks often require iterative optimization methods to compute the solution. Convergence analysis from an optimization viewpoint only informs us how well the solution is approximated numerically but overlooks the…

Machine Learning · Statistics 2020-07-27 Tengyuan Liang , Weijie Su

When the number of subjects, $n$, is large, paired comparisons are often sparse. Here, we study statistical inference in a class of paired comparison models parameterized by a set of merit parameters, under an Erd\"{o}s--R\'{e}nyi…

Statistics Theory · Mathematics 2025-11-17 Qiuping Wang , Lu Pan , Ting Yan

In this paper, we propose and study closed-form moment type estimators for a weighted exponential family. We also develop a bias-reduced version of these proposed closed-form estimators using bootstrap techniques. The estimators are…

Methodology · Statistics 2024-09-05 Roberto Vila , Helton Saulo

The maximum likelihood estimation for a time-dependent nonstationary (NS) extreme value model is often too sensitive to influential observations, such as large values toward the end of a sample. Thus, alternative methods using L-moments…

Methodology · Statistics 2025-06-03 Yire Shin , Yonggwan Shin , Jeong-Soo Park

This paper develops theory for feasible estimators of finite-dimensional parameters identified by general conditional quantile restrictions, under much weaker assumptions than previously seen in the literature. This includes instrumental…

Statistics Theory · Mathematics 2021-10-07 Luciano de Castro , Antonio F. Galvao , David M. Kaplan , Xin Liu

We introduce estimation and test procedures through divergence minimiza- tion for models satisfying linear constraints with unknown parameter. These procedures extend the empirical likelihood (EL) method and share common features with…

Statistics Theory · Mathematics 2016-11-25 Michel Broniatowski , Amor Keziou

We develop a practical way of addressing the Errors-In-Variables (EIV) problem in the Generalized Method of Moments (GMM) framework. We focus on the settings in which the variability of the EIV is a fraction of that of the mismeasured…

Econometrics · Economics 2025-11-11 Kirill S. Evdokimov , Andrei Zeleneev

Descriptive statistics for parametric models are currently highly sensative to departures, gross errors, and/or random errors. Here, leveraging the structures of parametric distributions and their central moment kernel distributions, a…

Statistics Theory · Mathematics 2024-09-11 Li Tuobang