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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

In epidemiological studies, the capture-recapture (CRC) method is a powerful tool that can be used to estimate the number of diseased cases or potentially disease prevalence based on data from overlapping surveillance systems. Estimators…

Applications · Statistics 2023-06-21 Yuzi Zhang , Lin Ge , Lance A. Waller , Robert H. Lyles

We consider mark-recapture-recovery (MRR) data of animals where the model parameters are a function of individual time-varying continuous covariates. For such covariates, the covariate value is unobserved if the corresponding individual is…

Methodology · Statistics 2013-12-02 Roland Langrock , Ruth King

Deep latent variable models (DLVMs) combine the approximation abilities of deep neural networks and the statistical foundations of generative models. Variational methods are commonly used for inference; however, the exact likelihood of…

Machine Learning · Statistics 2018-06-29 Pierre-Alexandre Mattei , Jes Frellsen

Detection limits (DLs), where a variable is unable to be measured outside of a certain range, are common in research. Most approaches to handle DLs in the response variable implicitly make parametric assumptions on the distribution of data…

Methodology · Statistics 2022-07-07 Yuqi Tian , Chun Li , Shengxin Tu , Nathan T. James , Frank E. Harrell , Bryan E. Shepherd

Commonly used methods to analyze incomplete longitudinal clinical trial data include complete case analysis (CC) and last observation carried forward (LOCF). However, such methods rest on strong assumptions, including missing completely at…

Statistics Theory · Mathematics 2007-06-13 Ivy Jansen , Caroline Beunckens , Geert Molenberghs , Geert Verbeke , Craig Mallinckrodt

While non-invasive sampling is more and more commonly used in capture-recapture (CR) experiments, it carries a higher risk of misidentifications than direct observations. As a consequence, one must screen the data to retain only the…

Quantitative Methods · Quantitative Biology 2023-04-04 Rémi Fraysse , Rémi Choquet , Carlo Costantini , Roger Pradel

In capture-recapture experiments, individual covariates may be subject to missing, especially when the number of times of being captured is small. When the covariate information is missing at random, the inverse probability weighting method…

Methodology · Statistics 2025-07-22 Yang Liu , Yukun Liu , Pengfei Li , Jing Qin , Lin Zhu

We contribute a general and flexible framework to estimate the size of a closed population in the presence of $K$ capture-recapture lists and heterogeneous capture probabilities. Our novel identifying strategy leverages the fact that it is…

Methodology · Statistics 2024-07-08 Mateo Dulce Rubio , Edward Kennedy

When outcomes are missing for reasons beyond an investigator's control, there are two different ways to adjust a parameter estimate for covariates that may be related both to the outcome and to missingness. One approach is to model the…

Methodology · Statistics 2008-12-18 Joseph D. Y. Kang , Joseph L. Schafer

Population size estimation based on two sample capture-recapture type experiment is an interesting problem in various fields including epidemiology, pubic health, population studies, etc. The Lincoln-Petersen estimate is popularly used…

Methodology · Statistics 2019-01-21 Kiranmoy Chatterjee , Prajamitra Bhuyan

1. Accurate estimates of demographic parameters are required to infer appropriate ecological relationships and inform management actions. Recently developed N-mixture models use count data from unmarked individuals to estimate demographic…

Quantitative Methods · Quantitative Biology 2015-12-29 Joshua H. Schmidt , Devin S. Johnson , Mark S. Lindberg , Layne G. Adams

In a regression analysis, suppose we suspect that there are several heterogeneous groups in the population that a sample represents. Mixture regression models have been applied to address such problems. By modeling the conditional…

Methodology · Statistics 2013-07-02 Toshiya Hoshikawa

In this paper we develop a likelihood-free approach for population calibration, which involves finding distributions of model parameters when fed through the model produces a set of outputs that matches available population data. Unlike…

Methodology · Statistics 2022-02-07 Christopher Drovandi , Brodie Lawson , Adrianne L Jenner , Alexander P Browning

Although there is a rapidly growing literature on dynamic connectivity methods, the primary focus has been on separate network estimation for each individual, which fails to leverage common patterns of information. We propose novel…

Methodology · Statistics 2021-01-15 Suprateek Kundu , Jin Ming , Joe Nocera , Keith M. McGregor

Species distribution models (SDMs) are increasingly used in ecology, biogeography, and wildlife management to learn about the species-habitat relationships and abundance across space and time. Distance sampling (DS) and capture-recapture…

Methodology · Statistics 2022-03-09 Narmadha M. Mohankumar , Trevor J. Hefley , Katy Silber , W. Alice Boyle

Two-phase outcome dependent sampling (ODS) is widely used in many fields, especially when certain covariates are expensive and/or difficult to measure. For two-phase ODS, the conditional maximum likelihood (CML) method is very attractive…

Methodology · Statistics 2022-12-21 Menglu Che , Peisong Han , Jerald F. Lawless

Dual-record system (DRS) (equivalently two sample Capture-recapture experiment) model with time and behavioral response variation, has attracted much attention specifically in the domain of Official Statistics and Epidemiology. The relevant…

Methodology · Statistics 2019-08-09 Kiranmoy Chatterjee , Diganta Mukherjee

Neural population activity exhibits complex, nonlinear dynamics, varying in time, over trials, and across experimental conditions. Here, we develop Conditionally Linear Dynamical System (CLDS) models as a general-purpose method to…

Neurons and Cognition · Quantitative Biology 2025-10-31 Victor Geadah , Amin Nejatbakhsh , David Lipshutz , Jonathan W. Pillow , Alex H. Williams

Finite mixture models have been widely used to model and analyze data from a heterogeneous populations. Moreover, data of this kind can be missing or subject to some upper and/or lower detection limits because of the restriction of…