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The network scale-up method (NSUM) is a cost-effective approach to estimating the size or prevalence of a group of people that is hard to reach through a standard survey. The basic NSUM involves two steps: estimating respondents' degrees by…

Methodology · Statistics 2024-01-19 Jessica P. Kunke , Ian Laga , Xiaoyue Niu , Tyler H. McCormick

The amount of large-scale real data around us increase in size very quickly and so does the necessity to reduce its size by obtaining a representative sample. Such sample allows us to use a great variety of analytical methods, whose direct…

Social and Information Networks · Computer Science 2014-02-10 Milos Kudelka , Sarka Zehnalova , Jan Platos

In frequentist inference, minimizing the Hellinger distance between a kernel density estimate and a parametric family produces estimators that are both robust to outliers and statistically efficienty when the parametric model is correct.…

Statistics Theory · Mathematics 2018-12-12 Yuefeng Wu , Giles Hooker

Hidden Markov models (HMMs) are flexible tools for clustering dependent data coming from unknown populations, allowing nonparametric modelling of the population densities. Identifiability fails when the data is in fact independent and…

Statistics Theory · Mathematics 2025-07-16 Kweku Abraham , Elisabeth Gassiat , Zacharie Naulet

Intuitively, sampling is likely to be more efficient for prevalence estimation, if the cases (or positives) have a relatively higher representation in the sample than in the population. In case the virus is transmitted via personal…

Applications · Statistics 2020-11-18 Li-Chun Zhang

In this paper, some of the properties of non-parametric estimation of the expectation of g(X) (any function of X), by using a Judgment Post-stratification Sample (JPS), are discussed. A class of estimators (including the standard JPS…

Methodology · Statistics 2013-11-20 Ali Dastbaravarde , Nasser Reza Arghami , Majid Sarmad

In the context of regressing a response $Y$ on a predictor $X$, we consider estimating the local modes of the distribution of $Y$ given $X=x$ when $X$ is prone to measurement error. We propose two nonparametric estimation methods, with one…

Methodology · Statistics 2016-10-28 Haiming Zhou , Xianzheng Huang

Nonignorable missing outcomes are common in real world datasets and often require strong parametric assumptions to achieve identification. These assumptions can be implausible or untestable, and so we may forgo them in favour of partially…

Methodology · Statistics 2023-10-19 Daniel Daly-Grafstein , Paul Gustafson

Capture-recapture methods for estimating the total size of elusive populations are widely-used, however, due to the choice of estimator impacting upon the results and conclusions made, the question of performance of each estimator is…

Methodology · Statistics 2023-12-15 Layna Charlie Dennett , Dankmar Böhning

The present paper presents the detail discussion on estimation of population mean in simple random sampling in the presence of non-response. Motivated by Gupta and Shabbir (2008), we have suggested the class of estimators of population mean…

Statistics Theory · Mathematics 2014-05-15 Manoj Kr. Chaudhary , Anil Prajapati , Rajesh Singh , Florentin Smarandache

Replicated network data are increasingly available in many research fields. In connectomic applications, inter-connections among brain regions are collected for each patient under study, motivating statistical models which can flexibly…

Methodology · Statistics 2018-09-11 Daniele Durante , David B. Dunson , Joshua T. Vogelstein

Respondent-driven sampling (RDS) is both a sampling strategy and an estimation method. It is commonly used to study individuals that are difficult to access with standard sampling techniques. As with any sampling strategy, RDS has…

Applications · Statistics 2023-09-29 Jessica P. Kunke , Adam Visokay , Tyler H. McCormick

This article introduces a new instrumental variable approach for estimating unknown population parameters with data having nonrandom missing values. With coarse and discrete instruments, Shao and Wang (2016) proposed a semiparametric method…

Methodology · Statistics 2021-11-19 Arkaprabha Ganguli , David Todem

Collecting complete network data is expensive, time-consuming, and often infeasible. Aggregated Relational Data (ARD), which capture information about a social network by asking a respondent questions of the form ``How many people with…

Methodology · Statistics 2022-10-24 Emily Breza , Arun G. Chandrasekhar , Shane Lubold , Tyler H. McCormick , Mengjie Pan

We propose a modern method to estimate population size based on capture-recapture designs of K samples. The observed data is formulated as a sample of n i.i.d. K-dimensional vectors of binary indicators, where the k-th component of each…

Respondent-driven sampling (RDS) is a procedure to sample from hard-to-reach populations. It has been widely used in several countries, especially in the monitoring of HIV/AIDS and other sexually transmitted infections. Hard-to-reach…

Applications · Statistics 2012-06-26 Leonardo S. Bastos , Adriana A. Pinho , Claudia Codeço , Francisco I. Bastos

Surveys are critical inputs for research and policy, yet, enumerating a sampling frame is logistically infeasible or financially nonviable in many circumstances, such as during pandemics, natural disasters, or armed conflict. Respondent…

Applications · Statistics 2026-03-03 Adam Visokay , Laura Boudreau , Rachel M. Heath , Tyler H. McCormick

In this article, we propose using network-based sampling strategies to estimate the number of unsheltered people experiencing homelessness within a given administrative service unit, known as a Continuum of Care. We demonstrate the…

Social and Information Networks · Computer Science 2023-10-31 Zack W. Almquist , Ashley Hazel , Owen Kajfasz , Janelle Rothfolk , Claire Guilmette , Mary-Catherine Anderson , Larisa Ozeryansky , Amy Hagopian

In using observed data to make inferences about a population quantity, it is commonly assumed that the sampling distribution from which the data were drawn belongs to a given parametric family of distributions, or at least, a given finite…

Methodology · Statistics 2024-10-21 Russell J. Bowater

We study mixture of linear regression (random coefficient) models, which capture population heterogeneity by allowing the regression coefficients to follow an unknown distribution $G^*$. In contrast to common parametric methods that fix the…

Methodology · Statistics 2025-07-01 Hansheng Jiang , Adityanand Guntuboyina