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In this paper, we identify the criteria for the selection of the minimal and most efficient covariate adjustment sets for the regression calibration method developed by Carroll, Rupert and Stefanski (CRS, 1992), used to correct bias due to…

统计方法学 · 统计学 2024-01-17 Wenze Tang , Donna Spiegelman , Yujie Wu , Molin Wang

Machine learning applications often require calibrated predictions, e.g. a 90\% credible interval should contain the true outcome 90\% of the times. However, typical definitions of calibration only require this to hold on average, and offer…

机器学习 · 统计学 2020-09-10 Shengjia Zhao , Tengyu Ma , Stefano Ermon

We discuss a class of difference-based estimators for the autocovariance in nonparametric regression when the signal is discontinuous (change-point regression), possibly highly fluctuating, and the errors form a stationary $m$-dependent…

统计方法学 · 统计学 2016-08-09 Inder Tecuapetla-Gómez , Axel Munk

We consider regression models with parametric (linear or nonlinear) regression function and allow responses to be ``missing at random.'' We assume that the errors have mean zero and are independent of the covariates. In order to estimate…

统计理论 · 数学 2009-08-24 Ursula U. Müller

We consider estimation and control in linear time-varying dynamical systems from the perspective of regret minimization. Unlike most prior work in this area, we focus on the problem of designing causal estimators and controllers which…

机器学习 · 计算机科学 2021-06-24 Gautam Goel , Babak Hassibi

The shortcomings of maximum likelihood estimation in the context of model-based reinforcement learning have been highlighted by an increasing number of papers. When the model class is misspecified or has a limited representational capacity,…

机器学习 · 计算机科学 2021-06-08 Evgenii Nikishin , Romina Abachi , Rishabh Agarwal , Pierre-Luc Bacon

In this paper we consider an extension of the beta regression model proposed by Ferrari and Cribari-Neto (2004). We extend their model in two different ways, first, we let the regression structure be nonlinear, second, we allow a regression…

统计方法学 · 统计学 2009-10-24 Alexandre B. Simas , Wagner Barreto-Souza , Andréa V. Rocha

The Extended Crosswise Model is a popular randomized response design that employs a sensitive and a randomized innocuous statement, and asks respondents if one of these statements is true, or that none or both are true. The model has a…

The manuscript discusses how to incorporate random effects for quantile regression models for clustered data with focus on settings with many but small clusters. The paper has three contributions: (i) documenting that existing methods may…

统计方法学 · 统计学 2022-02-24 Maria Laura Battagliola , Helle Sørensen , Anders Tolver , Ana-Maria Staicu

Random forests are a powerful method for non-parametric regression, but are limited in their ability to fit smooth signals, and can show poor predictive performance in the presence of strong, smooth effects. Taking the perspective of random…

机器学习 · 统计学 2020-09-08 Rina Friedberg , Julie Tibshirani , Susan Athey , Stefan Wager

An important challenge in statistical analysis concerns the control of the finite sample bias of estimators. This problem is magnified in high-dimensional settings where the number of variables $p$ diverges with the sample size $n$, as well…

统计理论 · 数学 2020-02-21 Stéphane Guerrier , Mucyo Karemera , Samuel Orso , Maria-Pia Victoria-Feser

Network experiments are powerful tools for studying spillover effects, which avoid endogeneity by randomly assigning treatments to units over networks. However, it is non-trivial to analyze network experiments properly without imposing…

计量经济学 · 经济学 2025-06-09 Mengsi Gao , Peng Ding

In this article, we propose some new generalizations of M-estimation procedures for single-index regression models in presence of randomly right-censored responses. We derive consistency and asymptotic normality of our estimates. The…

统计理论 · 数学 2008-12-18 Olivier Lopez

Estimating linear regression using least squares and reporting robust standard errors is very common in financial economics, and indeed, much of the social sciences and elsewhere. For thick tailed predictors under heteroskedasticity this…

统计方法学 · 统计学 2020-08-17 Neil Shephard

Linear regression is arguably the most widely used statistical method. With fixed regressors and correlated errors, the conventional wisdom is to modify the variance-covariance estimator to accommodate the known correlation structure of the…

统计理论 · 数学 2024-10-11 Zifeng Zhang , Peng Ding , Wen Zhou , Haonan Wang

We fit the exponent of the Pareto distribution, that is equivalent or can approximate the continuous power law distribution given a cutoff point, using linear regression (LR). We use LR on the logged variables of the empirical tail (one…

应用统计 · 统计学 2023-12-21 Samuel Forbes

A novel confidence interval estimator is proposed for the risk difference in noninferiority binomial trials. The confidence interval is consistent with an exact unconditional test that preserves the type-I error, and has improved power,…

统计方法学 · 统计学 2021-10-18 Nour Hawila , Arthur Berg

Recent research on fair regression focused on developing new fairness notions and approximation methods as target variables and even the sensitive attribute are continuous in the regression setting. However, all previous fair regression…

机器学习 · 计算机科学 2021-10-12 Wei Du , Xintao Wu , Hanghang Tong

This paper establishes bounds on the performance of empirical risk minimization for large-dimensional linear regression. We generalize existing results by allowing the data to be dependent and heavy-tailed. The analysis covers both the…

计量经济学 · 经济学 2025-04-23 Christian Brownlees , Guðmundur Stefán Guðmundsson

In this paper, we propose a new test for the detection of a change in a non-linear (auto-)regressive time series as well as a corresponding estimator for the unknown time point of the change. To this end, we consider an at-most-one-change…

统计理论 · 数学 2025-04-15 Claudia Kirch , Stefanie Schwaar