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Improving health worldwide will require rigorous quantification of population-level trends in health status. However, global-level surveys are not available, forcing researchers to rely on fragmentary country-specific data of varying…

Methodology · Statistics 2014-05-20 Mariel M. Finucane , Christopher J. Paciorek , Goodarz Danaei , Majid Ezzati

We present an alternative approach to the Bayesian nonparametric analysis of conditional species richness under two-parameter Poisson Dirichlet priors. We rely on a known characterization by deletion of classes property and on results for…

Probability · Mathematics 2010-02-03 Annalisa Cerquetti

Studies on distribution, abundance and diversity of species revealed fascinating universalities in macroecology. Many of these patterns, like the species-area and range-abundance relationship or the year-to-year fluctuations in population…

Populations and Evolution · Quantitative Biology 2007-05-23 M. Ravasz , A. Balog , V. Marko , Z. Neda

Machine learning (ML) approaches are used more and more widely in biodiversity monitoring. In particular, an important application is the problem of predicting biodiversity indicators such as species abundance, species occurrence or species…

Applications · Statistics 2021-08-18 Geneviève Robin , Cathia Le Hasif

The Shannon entropy is a fundamental measure for quantifying diversity and model complexity in fields such as information theory, ecology, and genetics. However, many existing studies assume that the number of species is known, an…

Methodology · Statistics 2026-02-23 Takato Hashino , Koji Tsukuda

We analyze several florae (collections of plant species populating specific areas) in different geographic and climatic regions. For every list of species we produce a taxonomic classification tree and we consider its statistical…

Populations and Evolution · Quantitative Biology 2008-06-13 C. Caretta Cartozo , D. Garlaschelli , C. Ricotta , M. Barthelemy , G. Caldarelli

The magnitude and variability of Earth's biodiversity have puzzled scientists ever since paleontologic fossil databases became available. We identify and study a model of interdependent species where both endogenous and exogenous impacts…

Populations and Evolution · Quantitative Biology 2014-10-10 Frank Stollmeier , Theo Geisel , Jan Nagler

We obtain a limit of a hierarchical Bayes estimator of a finite population mean when the sample size is large. The limit is in the sense of ordinary calculus, where the sample observations are treated as fixed quantities. Our result…

Statistics Theory · Mathematics 2007-08-22 P. Lahiri , Kanchan Mukherjee

We investigate the problem of reliably assessing group fairness when labeled examples are few but unlabeled examples are plentiful. We propose a general Bayesian framework that can augment labeled data with unlabeled data to produce more…

Machine Learning · Statistics 2020-10-21 Disi Ji , Padhraic Smyth , Mark Steyvers

Demographic studies of cosmic populations must contend with measurement errors and selection effects. We survey some of the key ideas astronomers have developed to deal with these complications, in the context of galaxy surveys and the…

Instrumentation and Methods for Astrophysics · Physics 2019-11-28 Thomas J. Loredo , Martin A. Hendry

Inverse statistical physics aims at inferring models compatible with a set of empirical averages estimated from a high-dimensional dataset of independently distributed equilibrium configurations of a given system. However, in several…

Disordered Systems and Neural Networks · Physics 2021-02-12 Edwin Rodriguez Horta , Alejandro Lage , Martin Weigt , Pierre Barrat-Charlaix

In Bayesian meta-analysis, the specification of prior probabilities for the between-study heterogeneity is commonly required, and is of particular benefit in situations where only few studies are included. Among the considerations in the…

Methodology · Statistics 2023-06-02 Christian Röver , Sibylle Sturtz , Jona Lilienthal , Ralf Bender , Tim Friede

Weak lensing convergence maps - upon which higher order statistics can be calculated - can be recovered from observations of the shear field by solving the lensing inverse problem. For typical surveys this inverse problem is ill-posed…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-08 Matthew A. Price , Xiaohao Cai , Jason D. McEwen , Thomas D. Kitching

Phylogenetic diversity is a measure for describing how much of an evolutionary tree is spanned by a subset of species. If one applies this to the (unknown) subset of current species that will still be present at some future time, then this…

Subcellular Processes · Quantitative Biology 2009-09-29 Beata Faller , Fabio Pardi , Mike Steel

Ecological selection is a major driver of community assembly. Selection is classified as stabilizing when species with intermediate trait values gain the highest reproductive success, whereas selection is considered directional when fitness…

Populations and Evolution · Quantitative Biology 2021-05-13 DeMalach Niv , Po-Ju Ke , Tadashi Fukami

Entropy is a measure of heterogeneity widely used in applied sciences, often when data are collected over space. Recently, a number of approaches has been proposed to include spatial information in entropy. The aim of entropy is to…

Statistics Theory · Mathematics 2019-11-12 Linda Altieri , Daniela Cocchi , Giulia Roli

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

Hierarchical Bayesian methods enable information sharing across multiple related regression problems. While standard practice is to model regression parameters (effects) as (1) exchangeable across datasets and (2) correlated to differing…

Methodology · Statistics 2021-07-15 Brian L. Trippe , Hilary K. Finucane , Tamara Broderick

Background: Many mathematical models have now been employed across every area of systems biology. These models increasingly involve large numbers of unknown parameters, have complex structure which can result in substantial evaluation time…

Molecular Networks · Quantitative Biology 2018-01-15 Ian Vernon , Junli Liu , Michael Goldstein , James Rowe , Jen Topping , Keith Lindsey

Monitoring the distribution of microfossils in stratigraphic successions is an essential tool for biostratigraphic, evolutionary and paleoecologic/paleoceanographic studies. To estimate the relative abundance (%) of a given species, it is…

Quantitative Methods · Quantitative Biology 2018-05-14 Ali T. Haidar , Abbas Al-Hakim , Zhiyi Zhang