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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

This paper considers the empirical likelihood (EL) construction of confidence intervals for a linear functional based on right censored lifetime data. Many of the results in literature show that log EL has a limiting scaled chi-square…

统计理论 · 数学 2012-03-28 Shuyuan He , Wei Liang , Junshan Shen , Grace Yang

A classical problem in statistics is estimating the expected coverage of a sample, which has had applications in gene expression, microbial ecology, optimization, and even numismatics. Here we consider a related extension of this problem to…

统计理论 · 数学 2013-02-11 Jerrad Hampton , Manuel E. Lladser

Bayesian inference typically relies on specifying a parametric model that approximates the data-generating process. However, misspecified models can yield poor convergence rates and unreliable posterior calibration. Bayesian empirical…

统计方法学 · 统计学 2025-10-27 Kenyon Ng , Weichang Yu , Howard D. Bondell

We give an analytical interpretation of how subsample-based internal covariance estimators lead to biased estimates of the covariance, due to underestimating the super-sample covariance (SSC). This includes the jackknife and bootstrap…

宇宙学与河外天体物理 · 物理学 2018-04-16 Fabien Lacasa , Martin Kunz

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

Jackknife instrumental variable estimation (JIVE) is a classic method to leverage many weak instrumental variables (IVs) to estimate linear structural models, overcoming the bias of standard methods like two-stage least squares. In this…

统计理论 · 数学 2024-10-08 Aurélien Bibaut , Nathan Kallus , Apoorva Lal

Nonprobability (convenience) samples are increasingly sought to reduce the estimation variance for one or more population variables of interest that are estimated using a randomized survey (reference) sample by increasing the effective…

We establish a general framework for statistical inferences with non-probability survey samples when relevant auxiliary information is available from a probability survey sample. We develop a rigorous procedure for estimating the propensity…

统计方法学 · 统计学 2018-05-17 Yilin Chen , Pengfei Li , Changbao Wu

Estimating the conditional quantile of the interested variable with respect to changes in the covariates is frequent in many economical applications as it can offer a comprehensive insight. In this paper, we propose a novel semiparametric…

统计理论 · 数学 2022-06-08 Jing Lv

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

Bayesian estimation is increasingly popular for performing model based inference to support policymaking. These data are often collected from surveys under informative sampling designs where subject inclusion probabilities are designed to…

统计方法学 · 统计学 2018-07-13 Luis G. Leon-Novelo , Terrance D. Savitsky

Empirical likelihood method has been applied to dependent observations by Monti (1997) through the Whittle's estimation method. Similar asymptotic distribution of the empirical likelihood ratio statistic for stationary time series has been…

统计方法学 · 统计学 2016-03-01 Ramadha D. Piyadi Gamage , Wei Ning , Arjun K. Gupta

High-dimensional statistical inference with general estimating equations are challenging and remain less explored. In this paper, we study two problems in the area: confidence set estimation for multiple components of the model parameters,…

统计方法学 · 统计学 2021-04-28 Jinyuan Chang , Song Xi Chen , Cheng Yong Tang , Tong Tong Wu

Empirical likelihood is a popular nonparametric statistical tool that does not require any distributional assumptions. In this paper, we explore the possibility of conducting variable selection via Bayesian empirical likelihood. We show…

统计方法学 · 统计学 2022-06-13 Yichen Cheng , Yichuan Zhao

Clinical trials with longitudinal outcomes typically include missing data due to missed assessments or structural missingness of outcomes after intercurrent events handled with a hypothetical strategy. Approaches based on Bayesian random…

统计方法学 · 统计学 2022-03-21 Marcel Wolbers , Alessandro Noci , Paul Delmar , Craig Gower-Page , Sean Yiu , Jonathan W. Bartlett

This paper proposes a unified framework to quantify local and global inferential uncertainty for high dimensional nonparanormal graphical models. In particular, we consider the problems of testing the presence of a single edge and…

机器学习 · 统计学 2015-07-01 Quanquan Gu , Yuan Cao , Yang Ning , Han Liu

Random forests have proven to be reliable predictive algorithms in many application areas. Not much is known, however, about the statistical properties of random forests. Several authors have established conditions under which their…

统计理论 · 数学 2016-05-05 Stefan Wager

Motivated by applications to goodness of fit testing, the empirical likelihood approach is generalized to allow for the number of constraints to grow with the sample size and for the constraints to use estimated criteria functions. The…

统计理论 · 数学 2013-07-24 Hanxiang Peng , Anton Schick

In this paper, we propose an empirical likelihood-based weighted estimator of regression parameter in quantile regression model with nonignorable missing covariates. The proposed estimator is computationally simple and achieves…

统计方法学 · 统计学 2017-10-10 Xiaohui Yuan , Xiaogang Dong