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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…

Methodology · Statistics 2025-12-25 Soumojit Das , Partha Lahiri

This article considers a robust hierarchical Bayesian approach to deal with random effects of small area means when some of these effects assume extreme values, resulting in outliers. In presence of outliers, the standard Fay-Herriot model,…

Methodology · Statistics 2015-10-26 Adrijo Chakraborty , Gauri Sankar Datta , Abhyuday Mandal

Symbolic data analysis has been proposed as a technique for summarising large and complex datasets into a much smaller and tractable number of distributions -- such as random rectangles or histograms -- each describing a portion of the…

Computation · Statistics 2020-03-23 Thomas Whitaker , Boris Beranger , Scott A. Sisson

Large-scale Gaussian process models are becoming increasingly important and widely used in many areas, such as, computer experiments, stochastic optimization via simulation, and machine learning using Gaussian processes. The standard…

Methodology · Statistics 2018-08-02 Yongxiang Li , Qiang Zhou , Kwok Leung Tsui , Javier Cabrera

Many applications involve estimating the mean of multiple binomial outcomes as a common problem -- assessing intergenerational mobility of census tracts, estimating prevalence of infectious diseases across countries, and measuring…

Econometrics · Economics 2026-01-01 Yan Chen , Lihua Lei

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…

Statistics Theory · Mathematics 2008-12-18 Snigdhansu Chatterjee , Partha Lahiri , Huilin Li

We consider the problem of efficient statistical inference for comparing two regression curves estimated from two samples of dependent measurements. Based on a representation of the best pair of linear unbiased estimators in continuous time…

Methodology · Statistics 2016-01-29 Holger Dette , Kirsten Schorning , Maria Konstantinou

In real applications of small area estimation, one often encounters data with positive response values. The use of a parametric transformation for positive response values in the Fay-Herriot model is proposed for such a case. An…

Methodology · Statistics 2017-03-31 Shonosuke Sugasawa , Tatsuya Kubokawa

We present a unified deterministic approach for experimental design problems using the method of interlacing polynomials. Our framework recovers the best-known approximation guarantees for the well-studied D/A/E-design problems with simple…

Data Structures and Algorithms · Computer Science 2024-10-16 Lap Chi Lau , Robert Wang , Hong Zhou

Least squares estimators, when trained on a few target domain samples, may predict poorly. Supervised domain adaptation aims to improve the predictive accuracy by exploiting additional labeled training samples from a source distribution…

Machine Learning · Computer Science 2021-06-02 Bahar Taskesen , Man-Chung Yue , Jose Blanchet , Daniel Kuhn , Viet Anh Nguyen

When random effects are correlated with sample design variables, the usual approach of employing individual survey weights (constructed to be inversely proportional to the unit survey inclusion probabilities) to form a pseudo-likelihood no…

Methodology · Statistics 2021-08-26 Terrance D. Savitsky , Matthew R. Williams

Using sample surveys as a cost effective tool to provide estimates for characteristics of interest at population and sub-populations (area/domain) level has a long tradition in "small area estimation". However, the existence of outliers in…

Methodology · Statistics 2021-01-13 Setareh Ranjbar , Elvezio Ronchetti , Stefan Sperlich

Design-consistent model-assisted estimation has become the standard practice in survey sampling. However, a general theory is lacking so far, which allows one to incorporate modern machine-learning techniques that can lead to potentially…

Machine Learning · Statistics 2020-03-26 Luis Sanguiao Sande , Li-Chun Zhang

With the ubiquitous availability of unstructured data, growing attention is paid as how to adjust for selection bias in such non-probability samples. The majority of the robust estimators proposed by prior literature are either fully or…

Methodology · Statistics 2022-04-08 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

We consider a measurement constrained supervised learning problem, that is, (1) full sample of the predictors are given; (2) the response observations are unavailable and expensive to measure. Thus, it is ideal to select a subsample of…

Methodology · Statistics 2020-10-26 Cheng Meng , Rui Xie , Abhyuday Mandal , Xinlian Zhang , Wenxuan Zhong , Ping Ma

A new gradient-based adaptive sampling method is proposed for design of experiments applications which balances space filling, local refinement, and error minimization objectives while reducing reliance on delicate tuning parameters. High…

Methodology · Statistics 2024-05-09 Lucas Caparini , Gwynn J. Elfring , Mauricio Ponga

For small area estimation of area-level data, the Fay-Herriot model is extensively used as a model based method. In the Fay-Herriot model, it is conventionally assumed that the sampling variances are known whereas estimators of sampling…

Methodology · Statistics 2017-05-15 Shonosuke Sugasawa , Hiromasa Tamae , Tatsuya Kubokawa

Integrating non-probability samples into finite-population inference typically requires modeling unknown selection probabilities under a missing-at-random (MAR) assumption that is difficult to verify. We propose a design-based alternative…

Methodology · Statistics 2026-05-08 Andrius Čiginas , Ieva Burakauskaitė , Jae Kwang Kim

Logistic regression models are a popular and effective method to predict the probability of categorical response data. However inference for these models can become computationally prohibitive for large datasets. Here we adapt ideas from…

Methodology · Statistics 2020-08-25 Tom Whitaker , Boris Beranger , Scott A. Sisson

Approximate Bayesian inference on the basis of summary statistics is well-suited to complex problems for which the likelihood is either mathematically or computationally intractable. However the methods that use rejection suffer from the…

Computation · Statistics 2010-05-04 M. G. B. Blum , O. Francois