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We introduce estimation and test procedures through divergence minimization for models satisfying linear constraints with unknown parameter. Several statistical examples and motivations are given. These procedures extend the empirical…

统计理论 · 数学 2008-11-24 Michel Broniatowski , Amor Keziou

The empirical likelihood inference is extended to a class of semiparametric models for stationary, weakly dependent series. A partially linear single-index regression is used for the conditional mean of the series given its past, and the…

统计方法学 · 统计学 2021-05-18 Marie Du Roy de Chaumaray , Matthieu Marbac , Valentin Patilea

We consider a situation where the distribution of a random variable is being estimated by the empirical distribution of noisy measurements of that variable. This is common practice in, for example, teacher value-added models and other…

计量经济学 · 经济学 2021-12-08 Koen Jochmans , Martin Weidner

Large language models (LLMs) excel at numerical estimation but struggle to correctly quantify uncertainty. We study how well LLMs construct confidence intervals around their own answers and find that they are systematically overconfident.…

统计方法学 · 统计学 2025-11-03 Elliot L. Epstein , John Winnicki , Thanawat Sornwanee , Rajat Dwaraknath

Words of estimative probability (WEP) are expressions of a statement's plausibility (probably, maybe, likely, doubt, likely, unlikely, impossible...). Multiple surveys demonstrate the agreement of human evaluators when assigning numerical…

计算与语言 · 计算机科学 2023-06-27 Damien Sileo , Marie-Francine Moens

We present a Bayesian jackknife test for assessing the probability that a data set contains biased subsets, and, if so, which of the subsets are likely to be biased. The test can be used to assess the presence and likely source of…

天体物理仪器与方法 · 物理学 2022-12-07 Michael J. Wilensky , Fraser Kennedy , Philip Bull , Joshua S. Dillon , The HERA Collaboration

This paper proposes a new Bayesian approach for analysing moment condition models in the situation where the data may be contaminated by outliers. The approach builds upon the foundations developed by Schennach (2005) who proposed the…

统计方法学 · 统计学 2018-01-03 Zhichao Liu , Catherine S. Forbes , Heather M. Anderson

Empirical likelihood serves as a powerful tool for constructing confidence intervals in nonparametric regression and regression discontinuity designs (RDD). The original empirical likelihood framework can be naturally extended to these…

统计理论 · 数学 2025-04-03 Qin Fang , Shaojun Guo , Yang Hong , Xinghao Qiao

We study variance estimation and associated confidence intervals for parameters characterizing genetic effects from genome-wide association studies (GWAS) misspecified mixed model analysis. Previous studies have shown that, in spite of the…

统计方法学 · 统计学 2021-01-19 Cecilia Dao , Jiming Jiang , Debashis Paul , Hongyu Zhao

The area under a receiver operating characteristic curve (AUC) is a useful tool to assess the performance of continuous-scale diagnostic tests on binary classification. In this article, we propose an empirical likelihood (EL) method to…

统计方法学 · 统计学 2022-05-05 Chul Moon , Xinlei Wang , Johan Lim

We consider an empirical likelihood inference for parameters defined by general estimating equations when some components of the random observations are subject to missingness. As the nature of the estimating equations is wide-ranging, we…

统计理论 · 数学 2009-03-05 Dong Wang , Song Xi Chen

Capture-recapture experiments are widely used to estimate the abundance of a finite population. Based on capture-recapture data, the empirical likelihood (EL) method has been shown to outperform the conventional conditional likelihood (CL)…

统计方法学 · 统计学 2025-07-15 Yang Liu , Pengfei Li , Yukun Liu

To segment a sequence of independent random variables at an unknown number of change-points, we introduce new procedures that are based on thresholding the likelihood ratio statistic. We also study confidence regions based on the likelihood…

统计理论 · 数学 2018-10-16 Xiao Fang , Jian Li , David Siegmund

This paper introduces a new version of the smoothly trimmed mean with a more general version of weights, which can be used as an alternative to the classical trimmed mean. We derive its asymptotic variance and to further investigate its…

统计理论 · 数学 2024-09-10 Elina Kresse , Emils Silins , Janis Valeinis

To address the computational issue in empirical likelihood methods with massive data, this paper proposes a grouped empirical likelihood (GEL) method. It divides $N$ observations into $n$ groups, and assigns the same probability weight to…

统计方法学 · 统计学 2025-12-10 Yongda Wang , Shifeng Xiong

In this article the issues are discussed with the Bayesian approach, least-square fits, and most-likely fits. Trying to counter these issues, a method, based on weighted confidence, is proposed for estimating probabilities and other…

统计理论 · 数学 2017-01-26 Fetze Pijlman

We consider parametric estimation of the continuous part of a class of ergodic diffusions with jumps based on high-frequency samples. Various papers previously proposed threshold based methods, which enable us to distinguish whether…

统计方法学 · 统计学 2019-10-02 Hiroki Masuda , Yuma Uehara

Bayesian inference provides a flexible way of combining data with prior information. However, quantile regression is not equipped with a parametric likelihood, and therefore, Bayesian inference for quantile regression demands careful…

统计理论 · 数学 2012-07-24 Yunwen Yang , Xuming He

We consider a linear combination of jackknife Anderson-Rubin (AR), jackknife Lagrangian multiplier (LM), and orthogonalized jackknife LM tests for inference in IV regressions with many weak instruments and heteroskedasticity. Following…

计量经济学 · 经济学 2023-04-21 Dennis Lim , Wenjie Wang , Yichong Zhang

As neural networks become more popular, the need for accompanying uncertainty estimates increases. There are currently two main approaches to test the quality of these estimates. Most methods output a density. They can be compared by…

机器学习 · 统计学 2024-06-05 Laurens Sluijterman , Eric Cator , Tom Heskes