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There are many issues that can cause problems when attempting to infer model parameters from data. Data and models are both imperfect, and as such there are multiple scenarios in which standard methods of inference will lead to misleading…

Computation · Statistics 2024-05-01 Simon L. Cotter

Populations exhibiting partial migration consist of two groups of individuals: Those that mi- grate between habitats, and those that remain fixed in a single habitat. We propose several discrete-time population models to investigate the…

Dynamical Systems · Mathematics 2016-10-31 Anushaya Mohapatra , Haley A. Ohms , David A. Lytle , Patrick De Leenheer

We consider a continuous-time Markov chain model of SIR disease dynamics with two levels of mixing. For this so-called stochastic households model, we provide two methods for inferring the model parameters---governing within-household…

Populations and Evolution · Quantitative Biology 2018-02-07 James N. Walker , Joshua V. Ross , Andrew J. Black

We analyze binary data, available for a relatively large number (big data) of families (or households), which are within small areas, from a population-based survey. Inference is required for the finite population proportion of individuals…

Methodology · Statistics 2018-06-04 Balgobin Nandram , Lu Chen , Shuting Fu , Binod Manandhar

The evaluation of a multifaceted program against extreme poverty in different developing countries gave encouraging results, but with important heterogeneity between countries. This master thesis proposes to study this heterogeneity with a…

Econometrics · Economics 2021-09-15 Louis Charlot

We introduce a novel statistical significance-based approach for clustering hierarchical data using semi-parametric linear mixed-effects models designed for responses with laws in the exponential family (e.g., Poisson and Bernoulli). Within…

Methodology · Statistics 2025-02-04 Alessandra Ragni , Chiara Masci , Francesca Ieva , Anna Maria Paganoni

Clustering of mixed-type datasets can be a particularly challenging task as it requires taking into account the associations between variables with different level of measurement, i.e., nominal, ordinal and/or interval. In some cases,…

Methodology · Statistics 2022-04-22 Odysseas Moschidis , Angelos Markos , Theodore Chadjipadelis

We study Bayesian estimation of finite mixture models in a general setup where the number of components is unknown and allowed to grow with the sample size. An assumption on growing number of components is a natural one as the degree of…

Statistics Theory · Mathematics 2022-03-18 Ilsang Ohn , Lizhen Lin

Bayesian hierarchical modeling is a natural framework to effectively integrate data and borrow information across groups. In this paper, we address problems related to density estimation and identifying clusters across related groups, by…

Methodology · Statistics 2025-10-29 Huizi Zhang , Sara Wade , Natalia Bochkina

We present a proof-of-concept of a model comparison approach for analyzing spatio-temporal observations of interacting populations. Our model variants are a collection of structurally similar Bayesian networks. Their distinct Noisy-Or…

Methodology · Statistics 2024-10-08 Nat Kendal-Freedman , Joseph Victor Fiorillo Meleshko , Aaron Yip , Brian Ingalls

This paper proposed a methodology to forecast electoral outcomes using the result of the combination of a fundamental model and a model-based aggregation of polls. We propose a Bayesian hierarchical structure for the fundamental model that…

Fossil-based palaeoclimate reconstruction is an important area of ecological science that has gained momentum in the backdrop of the global climate change debate. The hierarchical Bayesian paradigm provides an interesting platform for…

Applications · Statistics 2013-12-13 Sabyasachi Mukhopadhyay , Sourabh Bhattacharya

Combining distributions is an important issue in decision theory and Bayesian inference. Logarithmic pooling is a popular method to aggregate expert opinions by using a set of weights that reflect the reliability of each information source.…

Spatial statistical models are commonly used in geographical scenarios to ensure spatial variation is captured effectively. However, spatial models and cluster algorithms can be complicated and expensive. This paper pursues three main…

Mixture models are widely used in modeling heterogeneous data populations. A standard approach of mixture modeling assumes that the mixture component takes a parametric kernel form. In many applications, making parametric assumptions on the…

Methodology · Statistics 2026-03-06 Yilei Zhang , Yun Wei , Aritra Guha , XuanLong Nguyen

Joint modeling of spatially-oriented dependent variables is commonplace in the environmental sciences, where scientists seek to estimate the relationships among a set of environmental outcomes accounting for dependence among these outcomes…

Methodology · Statistics 2021-03-22 Lu Zhang , Sudipto Banerjee , Andrew O. Finley

In an earlier paper, we introduced and studied a system of hierarchically interacting measure-valued random processes which describes a large population of individuals carrying types and living in colonies labelled by the hierarchical group…

Probability · Mathematics 2017-03-10 Andreas Greven , Frank den Hollander , Anton Klimovsky

Populations can be genetically isolated both by geographic distance and by differences in their ecology or environment that decrease the rate of successful migration. Empirical studies often seek to investigate the relationship between…

Populations and Evolution · Quantitative Biology 2013-09-12 Gideon Bradburd , Peter Ralph , Graham Coop

We are interested in modeling some two-level population dynamics, resulting from the interplay of ecological interactions and phenotypic variation of individuals (or hosts) and the evolution of cells (or parasites) of two types living in…

Probability · Mathematics 2011-01-21 Sylvie Méléard , Sylvie Roelly

When statistical analyses consider multiple data sources, Markov melding provides a method for combining the source-specific Bayesian models. Markov melding joins together submodels that have a common quantity. One challenge is that the…

Methodology · Statistics 2022-03-17 Andrew A. Manderson , Robert J. B. Goudie
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