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For estimating area-specific parameters (quantities) in a finite population, a mixed model prediction approach is attractive. However, this approach strongly depends on the normality assumption of the response values although we often…

统计方法学 · 统计学 2018-06-12 Shonosuke Sugasawa , Tatsuya Kubokawa

Finite population inference is a central goal in survey sampling. Probability sampling is the main statistical approach to finite population inference. Challenges arise due to high cost and increasing non-response rates. Data integration…

统计方法学 · 统计学 2020-01-13 Shu Yang , Jae Kwang Kim

Empirical best linear unbiased prediction (EBLUP) method uses a linear mixed model in combining information from different sources of information. This method is particularly useful in small area problems. The variability of an EBLUP is…

统计理论 · 数学 2008-12-18 Snigdhansu Chatterjee , Partha Lahiri , Huilin Li

Health disparity research often evaluates health outcomes across demographic subgroups. Multilevel regression and poststratification (MRP) is a popular approach for small subgroup estimation due to its ability to stabilize estimates by…

统计方法学 · 统计学 2023-06-26 Katherine Li , Yajuan Si

In this paper, we develop an exact method for the determination of the minimum sample size for estimating the proportion of a finite population with prescribed margin of error and confidence level. By characterizing the behavior of the…

统计理论 · 数学 2007-08-03 Xinjia Chen

Bayesian predictive inference analyzes a dataset to make predictions about new observations. When a model does not match the data, predictive accuracy suffers. We develop population empirical Bayes (POP-EB), a hierarchical framework that…

机器学习 · 统计学 2015-06-10 Alp Kucukelbir , David M. Blei

In analyzing big data for finite population inference, it is critical to adjust for the selection bias in the big data. In this paper, we propose two methods of reducing the selection bias associated with the big data sample. The first…

统计方法学 · 统计学 2019-01-08 Jae Kwang Kim , Zhonglei Wang

In this paper, we study the classical problem of estimating the proportion of a finite population. First, we consider a fixed sample size method and derive an explicit sample size formula which ensures a mixed criterion of absolute and…

统计理论 · 数学 2009-02-03 Xinjia Chen

Covariate balance is a conventional key diagnostic for methods used estimating causal effects from observational studies. Recently, there is an emerging interest in directly incorporating covariate balance in the estimation. We study a…

统计方法学 · 统计学 2017-02-14 Qingyuan Zhao , Daniel Percival

Small area estimation methods are used in surveys, where sample sizes are too small to get reliable direct estimates of parameters in some population domains. We consider design-based linear combinations of direct and synthetic estimators…

统计方法学 · 统计学 2023-12-22 Andrius Čiginas

Epidemiologic screening programs often make use of tests with small, but non-zero probabilities of misdiagnosis. In this article, we assume the target population is finite with a fixed number of true cases, and that we apply an imperfect…

统计方法学 · 统计学 2024-04-22 Lin Ge , Yuzi Zhang , Lance A. Waller , Robert H. Lyles

We consider the problem of integrating a small probability sample (ps) and a non-probability sample (nps). By definition, for the nps, there are no survey weights, but for the ps, there are survey weights. The key issue is that the nps,…

统计方法学 · 统计学 2023-05-17 Balgobin Nandram , JNK Rao

We investigate Bayesian predictive inference for finite population quantities when there are unequal probabilities of selection. Only limited information about the sample design is available; i.e., only the first-order selection…

统计方法学 · 统计学 2018-04-10 Junheng Ma , Joe Sedransk , Balgobin Nandram , Lu Chen

We study the expectation-maximization (EM) algorithm for general latent-variable models under (i) distributional misspecification and (ii) nonidentifiability induced by a group action. We formulate EM on the quotient parameter space and…

统计理论 · 数学 2026-01-06 Koustav Mallik

Estimating characteristics of domains (referred to as small areas) within a population from sample surveys of the population is an important problem in survey statistics. In this paper, we consider model-based small area estimation under…

统计方法学 · 统计学 2026-03-17 Ziyang Lyu , A. H. Welsh

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

The main object of this paper is to show how we can use classical probabilistic methods such as Maximum Entropy (ME), maximum likelihood (ML) and/or Bayesian (BAYES) approaches to do microscopic and macroscopic data fusion. Actually ME can…

数据分析、统计与概率 · 物理学 2007-05-23 A. Mohammad-Djafari

The statistical challenges in using big data for making valid statistical inference in the finite population have been well documented in literature. These challenges are due primarily to statistical bias arising from under-coverage in the…

统计方法学 · 统计学 2020-06-19 Jae-kwang Kim , Siu-Ming Tam

The authors propose a robust semi-parametric empirical likelihood method to integrate all available information from multiple samples with a common center of measurements. Two different sets of estimating equations are used to improve the…

统计方法学 · 统计学 2012-10-03 Hsiao-Hsuan Wang , Yuehua Wu , Yuejiao Fu , Xiaogang Wang

We propose an approximate hierarchical Bayes approach that uses the Natural Exponential Family with Quadratic Variance Function in combining information from multiple sources to improve traditional survey estimates of finite population…

统计方法学 · 统计学 2025-12-25 Soumojit Das , Partha Lahiri
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