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Ranking populations such as institutions based on certain characteristics is often of interest, and these ranks are typically estimated using samples drawn from the populations. Due to sample randomness, it is important to quantify the…

Methodology · Statistics 2025-12-08 Onrina Chandra , Min-ge Xie

Given $n$ samples from a population of individuals belonging to different types with unknown proportions, how do we estimate the probability of discovering a new type at the $(n+1)$-th draw? This is a classical problem in statistics,…

Statistics Theory · Mathematics 2018-06-27 Fadhel Ayed , Marco Battiston , Federico Camerlenghi , Stefano Favaro

What is a population? This review considers how a population may be defined in terms of understanding the structure of the underlying genetics of the individuals involved. The main approach is to consider statistically identifiable groups…

Populations and Evolution · Quantitative Biology 2013-06-05 Daniel John Lawson

The estimation of coverage probabilities, and in particular of the missing mass, is a classical statistical problem with applications in numerous scientific fields. In this paper, we study this problem in relation to randomized data…

Methodology · Statistics 2022-09-07 Stefano Favaro , Matteo Sesia

Multiple-systems or capture-recapture estimation are common techniques for population size estimation, particularly in the quantitative study of human rights violations. These methods rely on multiple samples from the population, along with…

Methodology · Statistics 2018-12-27 Mauricio Sadinle

Estimating prevalence, the fraction of a population with a certain medical condition, is fundamental to epidemiology. Traditional methods rely on classification of test samples taken at random from a population. Such approaches to…

Methodology · Statistics 2022-03-25 Paul Patrone , Anthony Kearsley

Bayesian, classical, and extended maximum likelihood approaches to estimation of upper limits in experiments with small numbers of signal events are surveyed. The discussion covers only experiments whose outcomes are well described by a…

High Energy Physics - Experiment · Physics 2011-07-19 Ilya Narsky

We present a method for image-based crowd counting, one that can predict a crowd density map together with the uncertainty values pertaining to the predicted density map. To obtain prediction uncertainty, we model the crowd density values…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Viresh Ranjan , Boyu Wang , Mubarak Shah , Minh Hoai

In this paper, an alternative count distribution suitable for modeling over dispersed, zero vertex unimodality and monotonically decreasing data sets. Though the proposed probability model includes Gauss Hypergeometric special function, it…

Statistics Theory · Mathematics 2019-05-30 Deepesh Bhati , Ishfaq Shah Ahmad

Neighborhood selection is a widely used method used for estimating the support set of sparse precision matrices, which helps determine the conditional dependence structure in undirected graphical models. However, reporting only point…

Methodology · Statistics 2023-12-29 Yiling Huang , Snigdha Panigrahi , Walter Dempsey

Multicellular systems play a key role in bioprocess and biomedical engineering. Cell ensembles encountered in these setups show phenotypic variability like size and biochemical composition. As this variability may result in undesired…

Systems and Control · Computer Science 2018-07-16 Armin Küper , Robert Dürr , Steffen Waldherr

Fine population distribution both in space and in time is crucial for epidemic management, disaster prevention,urban planning and more. Human mobility data have a great potential for mapping population distribution at a high level of…

Applications · Statistics 2020-06-25 Xiang Liu , Philo Pöllmann

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…

Machine Learning · Statistics 2015-06-10 Alp Kucukelbir , David M. Blei

How might a smooth probability distribution be estimated, with accurately quantified uncertainty, from a limited amount of sampled data? Here we describe a field-theoretic approach that addresses this problem remarkably well in one…

Data Analysis, Statistics and Probability · Physics 2018-10-24 Wei-Chia Chen , Ammar Tareen , Justin B. Kinney

The concept of biased data is well known and its practical applications range from social sciences and biology to economics and quality control. These observations arise when a sampling procedure chooses an observation with probability that…

Statistics Theory · Mathematics 2007-06-13 Sam Efromovich

We propose the use of a simple intuitive principle for measuring algorithmic classification bias: the significance of the differences in a classifier's error rates across the various demographics is inversely commensurate with the sample…

Methodology · Statistics 2026-01-08 Ioannis Ivrissimtzis , Shauna Concannon , Matthew Houliston , Graham Roberts

Cluster analysis methods are used to identify homogeneous subgroups in a data set. In biomedical applications, one frequently applies cluster analysis in order to identify biologically interesting subgroups. In particular, one may wish to…

Methodology · Statistics 2016-09-23 Sheila Gaynor , Eric Bair

In the matter of selection of sample time points for the estimation of the power spectral density of a continuous time stationary stochastic process, irregular sampling schemes such as Poisson sampling are often preferred over regular…

Statistics Theory · Mathematics 2010-07-19 Radhendushka Srivastava , Debasis Sengupta

Multiple systems estimation using a Poisson loglinear model is a standard approach to quantifying hidden populations where data sources are based on lists of known cases. Information criteria are often used for selecting between the large…

Methodology · Statistics 2023-11-23 Bernard W. Silverman , Lax Chan , Kyle Vincent

We consider stochastic growth models for populations organized in colonies and subject to uniform catastrophes. To assess population viability, we analyze scenarios in which individuals adopt dispersion strategies after catastrophic events.…

Probability · Mathematics 2026-02-09 Joan Amaya , Valdivino V. Junior , Fábio P. Machado , Alejandro Roldán-Correa