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The aim of this paper is to provide a resampling technique that allows us to make inference on superpopulation parameters in finite population setting. Under complex sampling designs, it is often difficult to obtain explicit results about…

Methodology · Statistics 2018-09-24 Pier Luigi Conti , Alberto Di Iorio

We develop a Bayesian model-based approach to finite population estimation accounting for spatial dependence. Our innovation here is a framework that achieves inference for finite population quantities in spatial process settings. A key…

Applications · Statistics 2019-11-22 Alec M. Chan-Golston , Sudipto Banerjee , Mark S. Handcock

This article attempts to offer some perspectives on Bayesian inference for finite population quantities when the units in the population are assumed to exhibit complex dependencies. Beginning with an overview of Bayesian hierarchical…

Methodology · Statistics 2025-09-15 Sudipto Banerjee

Non-probability samples become increasingly popular in survey statistics but may suffer from selection biases that limit the generalizability of results to the target population. We consider integrating a non-probability sample with a…

Methodology · Statistics 2019-08-26 Shu Yang , Jae Kwang Kim , Rui Song

In this paper, a class of resampling techniques for finite populations under complex sampling design is introduced. The basic idea on which it rests is a two-step procedure consisting in : (i) constructing a pseudo-population on the basis…

Methodology · Statistics 2017-07-21 Pier Luigi Conti , Daniela Marella , Fulvia Mecatti , Federico Andreis

The aim of this paper is twofold. First, three theoretical principles are formalized: randomization, overrepresentation and restriction. We develop these principles and give a rationale for their use in choosing the sampling design in a…

Methodology · Statistics 2016-12-16 Yves Tillé , Matthieu Wilhelm

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

In this work we introduce and analyze a linear size-structured population model with infinite states-at-birth. We model the dynamics of a population in which individuals have two distinct life-stages: an "active" phase when individuals…

Analysis of PDEs · Mathematics 2019-03-25 Jozsef Z. Farkas , Peter Hinow

In this paper, we study inference for high-dimensional data characterized by small sample sizes relative to the dimension of the data. In particular, we provide an infinite-dimensional framework to study statistical models that involve…

Statistics Theory · Mathematics 2010-02-25 Jim Kuelbs , Anand N. Vidyashankar

This paper gives a holistic overview of both the design-based and model-based paradigms for sampling theory. Both methods are presented within a unified framework with a simple consistent notation, and the differences in the two paradigms…

Methodology · Statistics 2024-08-27 Ben O'Neill

A model-assisted semiparametric method of estimating finite population totals is investigated to improve the precision of survey estimators by incorporating multivariate auxiliary information. The proposed superpopulation model is a…

Methodology · Statistics 2019-03-19 Lily Wang

In this paper, a first sample-based formulation of the recently considered population observers, or ensemble observers, which estimate the state distribution of dynamic populations from measurements of the output distribution is…

Optimization and Control · Mathematics 2017-12-01 Shen Zeng

We propose a general semi-supervised inference framework focused on the estimation of the population mean. As usual in semi-supervised settings, there exists an unlabeled sample of covariate vectors and a labeled sample consisting of…

Methodology · Statistics 2018-08-15 Anru Zhang , Lawrence D. Brown , T. Tony Cai

Different statistical samples (e.g., from different locations) offer populations and learning systems observations with distinct statistical properties. Samples under (1) 'Unconfounded' growth preserve systems' ability to determine the…

Methodology · Statistics 2025-08-05 Andre F. Ribeiro

Two-stage sampling designs are commonly used for household and health surveys. To produce reliable estimators with assorted confidence intervals, some basic statistical properties like consistency and asymptotic normality of the…

Methodology · Statistics 2019-01-07 Guillaume Chauvet , Audrey-Anne Vallée

There are two general views in causal analysis of experimental data: the super population view that the units are an independent sample from some hypothetical infinite populations, and the finite population view that the potential outcomes…

Statistics Theory · Mathematics 2017-03-01 Peng Ding , Xinran Li , Luke W. Miratrix

Statistical evaluation aims to estimate the generalization performance of a model using held-out i.i.d.\ test data sampled from the ground-truth distribution. In supervised learning settings such as classification, performance metrics such…

Machine Learning · Computer Science 2026-04-08 Shashaank Aiyer , Yishay Mansour , Shay Moran , Han Shao

Inspired by the pioneering work of Rubin (1978), we employ the potential outcomes framework to develop a finite-population Bayesian causal inference framework for randomized controlled $2^K$ factorial designs with binary outcomes, which are…

Methodology · Statistics 2019-01-25 Jiannan Lu

In this paper, we propose new semiparametric procedures for making inference on linear functionals and their functions of two semicontinuous populations. The distribution of each population is usually characterized by a mixture of a…

Methodology · Statistics 2020-12-21 Meng Yuan , Chunlin Wang , Boxi Lin , Pengfei Li

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…

Methodology · Statistics 2018-04-10 Junheng Ma , Joe Sedransk , Balgobin Nandram , Lu Chen
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