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We present a new design and inference method for estimating population size of a hidden population best reached through a link-tracing design. The strategy involves the Rao-Blackwell Theorem applied to a sufficient statistic markedly…

统计方法学 · 统计学 2014-11-26 Kyle Vincent , Steve Thompson

We introduce a new sufficient statistic for the population parameter vector by allowing for the sampling design to first be selected at random amongst a set of candidate sampling designs. In contrast to the traditional approach in survey…

统计理论 · 数学 2014-11-11 Kyle Vincent , Christopher S. Henry

Estimating the size of an elusive target population is of prominent interest in many areas in the life and social sciences. Our aim is to provide an efficient and workable method to estimate the unknown population size, given the frequency…

应用统计 · 统计学 2011-07-28 Irene Rocchetti , John Bunge , Dankmar Böhning

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 consider inference from non-random samples in data-rich settings where high-dimensional auxiliary information is available both in the sample and the target population, with survey inference being a special case. We propose a regularized…

统计方法学 · 统计学 2021-04-13 Yutao Liu , Andrew Gelman , Qixuan Chen

We consider the problem of deciding on sampling strategy, in particular sampling design. We propose a risk measure, whose minimizing value guides the choice. The method makes use of a superpopulation model and takes into account uncertainty…

统计方法学 · 统计学 2020-07-06 Edgar Bueno , Dan Hedlin

The availability of high-throughput parallel methods for sequencing microbial communities is increasing our knowledge of the microbial world at an unprecedented rate. Though most attention has focused on determining lower-bounds on the…

统计方法学 · 统计学 2011-09-15 Manuel Lladser , Raúl Gouet , Jens Reeder

We exploit a suitable moment-based characterization of the mixture of Poisson distribution for developing Bayesian inference for the unknown size of a finite population whose units are subject to multiple occurrences during an enumeration…

统计方法学 · 统计学 2018-06-19 Danilo Alunni Fegatelli , Luca Tardella

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

Parameters of sub-populations can be more relevant than super-population ones. For example, a healthcare provider may be interested in the effect of a treatment plan for a specific subset of their patients; policymakers may be concerned…

统计方法学 · 统计学 2023-03-22 Ying Jin , Dominik Rothenhäusler

Population dynamics models play an important role in a number of fields, such as actuarial science, demography, and ecology, as they help explain past fluctuations and predict future population. The accuracy of these models is often…

统计方法学 · 统计学 2025-11-06 Paolo Onorati , Sofia Ruiz-Suarez , Radu Craiu

Demographic models built from genetic data play important roles in illuminating prehistorical events and serving as null models in genome scans for selection. We introduce an inference method based on the joint frequency spectrum of genetic…

种群与进化 · 定量生物学 2010-05-10 Ryan N. Gutenkunst , Ryan D. Hernandez , Scott H. Williamson , Carlos D. Bustamante

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…

统计方法学 · 统计学 2025-09-15 Sudipto Banerjee

Bootstrap is a useful tool for making statistical inference, but it may provide erroneous results under complex survey sampling. Most studies about bootstrap-based inference are developed under simple random sampling and stratified random…

统计理论 · 数学 2019-01-08 Zhonglei Wang , Jae Kwang Kim , Liuhua Peng

We develop a new approach for quantifying uncertainty in finite populations, by using design distributions to calibrate sensitivity parameters in finite population identified sets. This yields uncertainty intervals that can be interpreted…

计量经济学 · 经济学 2026-05-12 Brendan Kline , Matthew A. Masten

The multivariate hypergeometric distribution describes sampling without replacement from a discrete population of elements divided into multiple categories. Addressing a gap in the literature, we tackle the challenge of estimating discrete…

机器学习 · 计算机科学 2024-06-11 Liam Hodgson , Danilo Bzdok

Given samples from a distribution, how many new elements should we expect to find if we continue sampling this distribution? This is an important and actively studied problem, with many applications ranging from unseen species estimation to…

机器学习 · 计算机科学 2017-07-14 Aditi Raghunathan , Greg Valiant , James Zou

Estimation frameworks for statistical inference are preferred to hypothesis testing when quantifying uncertainty and precise estimation are more valuable than binary decisions about statistical significance. Study design for…

统计方法学 · 统计学 2025-10-29 Luke Hagar , Nathaniel T. Stevens

Estimating the unknown number of classes in a population has numerous important applications. In a Poisson mixture model, the problem is reduced to estimating the odds that a class is undetected in a sample. The discontinuity of the odds…

统计理论 · 数学 2007-08-22 Chang Xuan Mao , Bruce G. Lindsay

Given a statistical model, we propose a novel estimation method that yields randomised estimators for the unknown distribution of an observed random variable. We establish non-asymptotic bounds for the performance of these estimators and…

统计理论 · 数学 2026-05-06 Yannick Baraud
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