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Beta regression models provide an adequate approach for modeling continuous outcomes limited to the interval (0,1). This paper deals with an extension of beta regression models that allow for explanatory variables to be measured with error.…

统计方法学 · 统计学 2013-04-11 Jalmar M. F. Carrasco , Silvia L. P. Ferrari , Reinaldo B. Arellano-Valle

A product relative error estimation method for single index regression model is proposed as an alternative to absolute error methods, such as the least square estimation and the least absolute deviation estimation. It is scale invariant for…

统计方法学 · 统计学 2016-12-12 Zhanfeng Wang , Zimu Chen , Yaohua Wu

Developing tools for estimating heterogeneous treatment effects (HTE) and individualized treatment effects has been an area of active research in recent years. While these tools have proven to be useful in many contexts, a concern when…

统计方法学 · 统计学 2025-03-07 Mahsa Ashouri , Nicholas C. Henderson

Previous research has shown that ignoring individual differences of factor loadings in conventional factor models may reduce the determinacy of factor score predictors. Therefore, the aim of the present study is to propose a heterogeneous…

统计方法学 · 统计学 2025-03-11 André Beauducel , Norbert Hilger , Anneke C. Weide

Due to the nature of pure-tone audiometry test, hearing loss data often has a complicated correlation structure. Generalized estimating equation (GEE) is commonly used to investigate the association between exposures and hearing loss,…

统计方法学 · 统计学 2025-08-13 Zhuoran Wei , Hanbing Zhu , Sharon Curhan , Gary Curhan , Molin Wang

Gini index is a widely used measure of economic inequality. This article develops a general theory for constructing a confidence interval for Gini index with a specified confidence coefficient and a specified width. Fixed sample size…

统计方法学 · 统计学 2017-09-21 Bhargab Chattopadhyay , Shyamal Krishna De

We consider inference on a scalar regression coefficient under a constraint on the magnitude of the control coefficients. A class of estimators based on a regularized propensity score regression is shown to exactly solve a tradeoff between…

计量经济学 · 经济学 2023-08-11 Timothy B. Armstrong , Michal Kolesár , Soonwoo Kwon

This paper studies the inference of the regression coefficient matrix under multivariate response linear regressions in the presence of hidden variables. A novel procedure for constructing confidence intervals of entries of the coefficient…

统计方法学 · 统计学 2022-01-21 Xin Bing , Wei Cheng , Huijie Feng , Yang Ning

We investigate differentially private estimators for individual parameters within larger parametric models. While generic private estimators exist, the estimators we provide repose on new local notions of estimand stability, and these…

机器学习 · 计算机科学 2025-03-24 Hilal Asi , John C. Duchi , Kunal Talwar

We consider the problem of collaborative personalized mean estimation under a privacy constraint in an environment of several agents continuously receiving data according to arbitrary unknown agent-specific distributions. In particular, we…

机器学习 · 计算机科学 2024-12-02 Yauhen Yakimenka , Chung-Wei Weng , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

Many experiments can be interpreted in terms of random processes operating according to some internal protocols. When experiments are costly or cannot be repeated only one or a few finite samples are available. In this paper we study data…

数据分析、统计与概率 · 物理学 2016-02-02 Marian Kupczynski , Hans De Raedt

Probabilistic classifiers output confidence scores along with their predictions, and these confidence scores should be calibrated, i.e., they should reflect the reliability of the prediction. Confidence scores that minimize standard metrics…

Existing sequential generalized estimating equation methodology for longitudinal and group-correlated data focuses on narrow hypotheses concerning treatment efficacy and often makes modeling assumptions that impede the desirable robustness…

统计方法学 · 统计学 2026-03-16 Nathan T. Provost , Abdus S. Wahed

Many important problems in psychology and biomedical studies require testing for overdispersion, correlation and heterogeneity in mixed effects and latent variable models, and score tests are particularly useful for this purpose. But the…

统计理论 · 数学 2007-06-13 Hongtu Zhu , Heping Zhang

Individuals may differ in their parameter values. This article discusses a three-step method of studying such differences by calculating and then modeling "individual parameter contributions", making the study of heterogeneity in arbitrary…

统计方法学 · 统计学 2013-04-15 Daniel Leonard Oberski

In this paper, utilizing recent theoretical results in high dimensional statistical modeling, we propose a model-free yet computationally simple approach to estimate the partially linear model $Y=X\beta+g(Z)+\varepsilon$. Motivated by the…

统计方法学 · 统计学 2014-01-13 Xia Cui , Ying Lu , Heng Peng

In scientific inference problems, the underlying statistical modeling assumptions have a crucial impact on the end results. There exist, however, only a few automatic means for validating these fundamental modelling assumptions. The…

统计方法学 · 统计学 2019-05-21 Andreas Svensson , Dave Zachariah , Petre Stoica , Thomas B. Schön

In this work, we propose differentially private methods for hypothesis testing, model averaging, and model selection for normal linear models. We consider Bayesian methods based on mixtures of $g$-priors and non-Bayesian methods based on…

统计方法学 · 统计学 2023-08-30 Víctor Peña , Andrés F. Barrientos

In this article, we consider the problem of estimating the index parameter $\alpha_0$ in the single index model $E[Y |X] = f_0(\alpha_0^T X)$ with $f_0$ the unknown ridge function defined on $\mathbb{R}$, $X$ a d-dimensional covariate and…

统计理论 · 数学 2017-12-19 Fadoua Balabdaoui , Gian-Andrea Thanei

When studying the causal effect of $x$ on $y$, researchers may conduct regression and report a confidence interval for the slope coefficient $\beta_{x}$. This common confidence interval provides an assessment of uncertainty from sampling…

统计方法学 · 统计学 2019-08-26 Brian Knaeble , Braxton Osting , Mark Abramson