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The categorical Gini covariance is a dependence measure between a numerical variable and a categorical variable. The Gini covariance measures dependence by quantifying the difference between the conditional and unconditional distributional…

统计方法学 · 统计学 2025-09-22 Saparya Suresh , Sudheesh K. Kattumannil

This paper formulates a penalized empirical likelihood (PEL) method for inference on the population mean when the dimension of the observations may grow faster than the sample size. Asymptotic distributions of the PEL ratio statistic is…

统计理论 · 数学 2013-02-28 Soumendra N. Lahiri , Subhodeep Mukhopadhyay

The categorical Gini correlation is an alternative measure of dependence between a categorical and numerical variables, which characterizes the independence of the variables. A nonparametric test for the equality of K distributions has been…

统计方法学 · 统计学 2019-08-02 Yongli Sang , Xin Dang , Yichuan Zhao

Models defined by moment conditions are at the center of structural econometric estimation, but economic theory is mostly agnostic about moment selection. While a large pool of valid moments can potentially improve estimation efficiency, in…

计量经济学 · 经济学 2023-11-15 Jinyuan Chang , Zhentao Shi , Jia Zhang

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…

统计方法学 · 统计学 2025-12-19 Guanghui Wang , Mengtao Wen , Changliang Zou

Empirical-likelihood-based confidence intervals for a mean were introduced by Owen [Biometrika 75 (1988) 237-249], where at least a finite second moment is required. This excludes some important distributions, for example, those in the…

统计理论 · 数学 2007-06-13 Liang Peng

Empirical likelihood is a well-known nonparametric method in statistics and has been widely applied in statistical inference. The method has been employed by Lu and Peng (2002) to constructing confidence intervals for the tail index of a…

统计方法学 · 统计学 2019-04-19 Yizeng Li , Yongcheng Qi

Though introduced nearly 50 years ago, the infinitesimal jackknife (IJ) remains a popular modern tool for quantifying predictive uncertainty in complex estimation settings. In particular, when supervised learning ensembles are constructed…

统计理论 · 数学 2021-06-11 Wei Peng , Lucas Mentch , Leonard Stefanski

The Sen index and Sen-Shorrocks-Thon (SST) index are widely used measures of poverty indices. Developing reliable inference for these measures enables us to compare these measures in different populations of interest in an effective way. It…

统计方法学 · 统计学 2026-03-19 Sreelakshmi N , Saparya Suresh , Sudheesh K. Kattumannil

Statistical resampling methods have become feasible for parametric estimation, hypothesis testing, and model validation now that the computer is a ubiquitous tool for statisticians. This essay focuses on the resampling technique for…

统计方法学 · 统计学 2016-06-03 Avery McIntosh

Several works have been undertaken in the context of proportional reversed hazard rate (PRHR) since last few decades. But any specific statistical methodology for the PRHR hypothesis is absent in the literature. In this paper, a two-sample…

统计方法学 · 统计学 2022-03-24 Ruhul Ali Khan

We develop an empirical likelihood (EL) framework for random forests and related ensemble methods, providing a likelihood-based approach to quantify their statistical uncertainty. Exploiting the incomplete $U$-statistic structure inherent…

机器学习 · 统计学 2025-11-19 Harold D. Chiang , Yukitoshi Matsushita , Taisuke Otsu

This paper introduces a class of jackknife-based test statistics for linear regression models with endogeneity and heteroskedasticity in the presence of many potentially weak instrumental variables. The tests may be used when considering…

计量经济学 · 经济学 2026-04-20 Federico Crudu , Giovanni Mellace , Zsolt Sándor

We address the challenge of constructing valid confidence intervals and sets in problems of prediction across multiple environments. We investigate two types of coverage suitable for these problems, extending the jackknife and…

机器学习 · 统计学 2024-11-14 John C. Duchi , Suyash Gupta , Kuanhao Jiang , Pragya Sur

In Bayesian quantile regression, the most commonly used likelihood is the asymmetric Laplace (AL) likelihood. The reason for this choice is not that it is a plausible data-generating model but that the corresponding maximum likelihood…

统计方法学 · 统计学 2024-12-30 Feng Ji , JoonHo Lee , Sophia Rabe-Hesketh

We propose \textbf{JAWS}, a series of wrapper methods for distribution-free uncertainty quantification tasks under covariate shift, centered on the core method \textbf{JAW}, the \textbf{JA}ckknife+ \textbf{W}eighted with data-dependent…

机器学习 · 计算机科学 2022-11-28 Drew Prinster , Anqi Liu , Suchi Saria

Mixture models are a popular tool in model-based clustering. Such a model is often fitted by a procedure that maximizes the likelihood, such as the EM algorithm. At convergence, the maximum likelihood parameter estimates are typically…

统计计算 · 统计学 2019-07-23 Adrian O'Hagan , Thomas Brendan Murphy , Luca Scrucca , Isobel Claire Gormley

Samples with a common mean but possibly different, ordered variances arise in various fields such as interlaboratory experiments, field studies or the analysis of sensor data. Estimators for the common mean under ordered variances typically…

统计理论 · 数学 2019-01-30 Ansgar Steland , Yuan-Tsung Chang

This paper develops a general method of inference for fixed effects models which is (i) automatic, (ii) computationally inexpensive, (iii) tuning parameter-free, and (iv) highly model agnostic. Specifically, we show how to combine a…

计量经济学 · 经济学 2026-04-23 Ayden Higgins

We study the empirical likelihood approach to construct confidence intervals for the optimal value and the optimality gap of a given solution, henceforth quantify the statistical uncertainty of sample average approximation, for optimization…

统计方法学 · 统计学 2016-10-25 Henry Lam , Enlu Zhou