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Let $f(y|\theta), \; \theta \in \Omega$ be a parametric family, $\eta(\theta)$ a given function, and $G$ an unknown mixing distribution. It is desired to estimate $E_G (\eta(\theta))\equiv \eta_G$ based on independent observations…

Statistics Theory · Mathematics 2022-07-29 Eitan Greenshtein , Ya'acov Ritov

Achieving fast and stable off-policy learning in deep reinforcement learning (RL) is challenging. Most existing methods rely on semi-gradient temporal-difference (TD) methods for their simplicity and efficiency, but are consequently…

Machine Learning · Computer Science 2025-09-22 Esraa Elelimy , Brett Daley , Andrew Patterson , Marlos C. Machado , Adam White , Martha White

This paper studies nonparametric empirical Bayes methods in a heterogeneous parameters framework that features unknown means and variances. We provide extended Tweedie's formulae that express the (infeasible) optimal estimators of…

Econometrics · Economics 2025-07-04 Sheng Chao Ho

To account for measurement error (ME) in explanatory variables, Bayesian approaches provide a flexible framework, as expert knowledge about unobserved covariates can be incorporated in the prior distributions. However, given the analytic…

Methodology · Statistics 2013-08-19 Stefanie Muff , Andrea Riebler , Havard Rue , Philippe Saner , Leonhard Held

In this paper, we develop a robust non-parametric realized integrated beta estimator using high-frequency financial data contaminated by microstructure noises, which is robust to the stylized features, such as the time-varying beta and the…

Methodology · Statistics 2024-09-04 Minseog Oh , Donggyu Kim , Yazhen Wang

Performative prediction is a framework accounting for the shift in the data distribution induced by the prediction of a model deployed in the real world. Ensuring rapid convergence to a stable solution where the data distribution remains…

Machine Learning · Computer Science 2026-01-30 Pedram Khorsandi , Rushil Gupta , Mehrnaz Mofakhami , Simon Lacoste-Julien , Gauthier Gidel

We consider concepts and models for measuring inequality in the distribution of resources with a focus on how inequality varies as a function of covariates. Lorenz introduced a device for measuring inequality in the distribution of income…

Statistics Theory · Mathematics 2008-12-02 Rolf Aaberge , Steinar Bjerve , Kjell Doksum

This paper develops a unified estimation framework, the Maximum Ideal Likelihood Estimation (MILE), for general parametric models with latent variables. Unlike traditional approaches relying on the marginal likelihood of the observed data,…

Statistics Theory · Mathematics 2025-10-08 Yizhou Cai , Ting Fung Ma

Finite-sample bias is a pervasive challenge in the estimation of structural equation models (SEMs), especially when sample sizes are small or measurement reliability is low. A range of methods have been proposed to improve finite-sample…

Methodology · Statistics 2026-03-30 Haziq Jamil , Yves Rosseel , Oliver Kemp , Ioannis Kosmidis

Synthetic indices are used in Economics to measure various aspects of monetary inequalities. These scalar indices take as input the distribution over a finite population, for example the population of a specific country. In this article we…

Applications · Statistics 2011-09-06 Eric Gautier

Seemingly unrelated regression models generalize linear regression models by considering multiple regression equations that are linked by contemporaneously correlated disturbances. Robust inference for seemingly unrelated regression models…

Methodology · Statistics 2018-05-15 Kris Peremans , Stefan Van Aelst

We propose a robust estimator for the tail index of Pareto-type distributions under random right-censoring, constructed within the minimum density power divergence (MDPD) framework and based on the Nelson--Aalen estimator of the cumulative…

Statistics Theory · Mathematics 2026-01-27 Nour Elhouda Guesmia , Abdelhakim Necir , Djamel Meraghni

We consider a Nonparametric Empirical Bayes (NPEB) framework. Let $Y_i$ be random variables, $Y_i \sim f(y|\theta_i)$, $i=1,...,n$, where $\theta_i \sim G$, and $\theta_i \in \Theta$ are independent. The variables $Y_i $ are conditionally…

Statistics Theory · Mathematics 2025-11-20 Eitan Greenshtein

The purpose of this paper is to provide guidelines for empirical researchers who use a class of bivariate threshold crossing models with dummy endogenous variables. A common practice employed by the researchers is the specification of the…

Econometrics · Economics 2019-03-06 Sukjin Han , Sungwon Lee

This paper develops a variance estimation framework for matching estimators that enables valid population inference for treatment effects. We provide theoretical analysis of a variance estimator that addresses key limitations in the…

Methodology · Statistics 2025-06-16 Xiang Meng , Aaron Smith , Luke Miratrix

Imputing missing potential outcomes using an estimated regression function is a natural idea for estimating causal effects. In the literature, estimators that combine imputation and regression adjustments are believed to be comparable to…

Statistics Theory · Mathematics 2023-01-20 Zhexiao Lin , Fang Han

Estimating income distributions plays an important role in the measurement of inequality and poverty over space. The existing literature on income distributions predominantly focuses on estimating an income distribution for a country or a…

Methodology · Statistics 2019-07-04 Shonosuke Sugasawa , Genya Kobayashi , Yuki Kawakubo

Sharp bounds on partially identified parameters are often given by the values of linear programs (LPs). This paper introduces a novel estimator of the LP value. Unlike existing procedures, our estimator is root-n-consistent, pointwise in…

Econometrics · Economics 2025-03-20 Andrei Voronin

Inequality (concentration) curves such as Lorenz, Bonferroni, Zenga curves, as well as a new inequality curve -- the $D$ curve, are broadly used to analyse inequalities in wealth and income distribution in certain populations. Quantile…

Statistics Theory · Mathematics 2023-12-13 Sylwester Piątek

This work introduces an efficient novel approach for epistemic uncertainty estimation for ensemble models for regression tasks using pairwise-distance estimators (PaiDEs). Utilizing the pairwise-distance between model components, these…

Machine Learning · Computer Science 2025-09-29 Lucas Berry , David Meger