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A class of models that have been widely used are the exponential random graph (ERG) models, which form a comprehensive family of models that include independent and dyadic edge models, Markov random graphs, and many other graph…

Statistics Theory · Mathematics 2022-02-07 Denise Duarte , Rafael Honório Pereira Alves

The differences between DNA-sequences within a population are the basis to infer the ancestral relationship of the individuals. Within the classical infinitely many sites model, it is possible to estimate the mutation rate based on the site…

Populations and Evolution · Quantitative Biology 2014-07-10 Franz Baumdicker

Non-parametric and distribution-free two-sample tests have been the foundation of many change point detection algorithms. However, randomness in the test statistic as a function of time makes them susceptible to false positives and…

Signal Processing · Electrical Eng. & Systems 2020-10-29 Kevin C. Cheng , Eric L. Miller , Michael C. Hughes , Shuchin Aeron

Spatial transcriptomics (ST) technologies enable gene expression profiling with spatial resolution, offering unprecedented insights into tissue organization and disease heterogeneity. However, current analysis methods often struggle with…

Synthesis models predict the integrated properties of stellar populations. Several problems exist in this field, mostly related to the fact that integrated properties are distributed. To date, this aspect has been either ignored (as in…

Astrophysics · Physics 2009-11-11 M. Cervino , V. Luridiana , N. Cervino-Luridiana

Population genomic studies have shown that genetic draft and background selection can profoundly affect the genome-wide patterns of molecular variation. We performed forward simulations under realistic gene-structure and selection scenarios…

Populations and Evolution · Quantitative Biology 2013-05-08 Philipp W. Messer , Dmitri A. Petrov

A well-established model for the genealogy of a large population in equilibrium is Kingman's coalescent. For the population together with its genealogy evolving in time, this gives rise to a time-stationary tree-valued process. We study the…

Probability · Mathematics 2010-05-18 Peter Pfaffelhuber , Anton Wakolbinger , Heinz Weisshaupt

The stochastic block model is widely used for detecting community structures in network data. However, the research interest of much literature focuses on the study of one sample of stochastic block models. How to detect the difference of…

Methodology · Statistics 2022-12-21 Kang Fu , Jianwei Hu , Seydou Keita , Hang Liu

To perform statistical inference for time series, one should be able to assess if they present deterministic or stochastic trends. For univariate analysis one way to detect stochastic trends is to test if the series has unit roots, and for…

Statistics Theory · Mathematics 2020-09-15 Marcio Alves Diniz , Carlos Alberto de Braganca Pereira , Julio Michael Stern

We consider a continuous population whose dynamics is described by the standard stationary Fleming-Viot process, so that the genealogy of $n$ uniformly sampled individuals is distributed as the Kingman $n$-coalescent. In this note, we study…

Probability · Mathematics 2016-11-07 Amaury Lambert , Emmanuel Schertzer

We discuss species distribution models (SDM) for biodiversity studies in ecology. SDM plays an important role to estimate abundance of a species based on environmental variables that are closely related with the habitat of the species. The…

Applications · Statistics 2023-05-01 Osamu Komori , Yusuke Saigusa , Shinto Eguchi

Phylogenetics uses alignments of molecular sequence data to learn about evolutionary trees relating species. Along branches, sequence evolution is modelled using a continuous-time Markov process characterised by an instantaneous rate…

We reconsider the deterministic haploid mutation-selection equation with two types. This is an ordinary differential equation that describes the type distribution (forward in time) in a population of infinite size. This paper establishes…

Probability · Mathematics 2020-09-25 Ellen Baake , Fernando Cordero , Sebastian Hummel

We consider the problems of hypothesis testing and model comparison under a flexible Bayesian linear regression model whose formulation is closely connected with the linear mixed effect model and the parametric models for SNP set analysis…

Methodology · Statistics 2015-02-24 Xiaoquan Wen

The Kingman coalescent is a fundamental process in population genetics modelling the ancestry of a sample of individuals backwards in time. In this paper, in a large-sample-size regime, we study asymptotic properties of the coalescent under…

Probability · Mathematics 2025-03-17 Martina Favero , Henrik Hult

The instability in the selection of models is a major concern with data sets containing a large number of covariates. This paper deals with variable selection methodology in the case of high-dimensional problems where the response variable…

Applications · Statistics 2012-03-23 Marie Walschaerts , Eve Leconte , Philippe Besse

Consider a haploid population of fixed finite size with a finite number of allele types and having Cannings exchangeable genealogy with neutral mutation. The stationary distribution of the Markov chain of allele counts in each generation is…

Probability · Mathematics 2016-12-09 H. L. Gan , Adrian Röllin , Nathan Ross

The first step toward Seed Phenotyping i.e. the comprehensive assessment of complex seed traits such as growth, development, tolerance, resistance, ecology, yield, and the measurement of pa-rameters that form more complex traits is the…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Venkat Margapuri , Mitchell Neilsen

With advancements in next generation sequencing technology, a massive amount of sequencing data are generated, offering a great opportunity to comprehensively investigate the role of rare variants in the genetic etiology of complex…

Methodology · Statistics 2025-08-18 Changshuai Wei , Ming Li , Zihuai He , Olga Vsevolozhskaya , Daniel J. Schaid , Qing Lu

We propose a novel network generative model extended from the standard stochastic block model by concurrently utilizing observed node-level information and accounting for network-enabled nodal heterogeneity. The proposed model is so…

Methodology · Statistics 2025-11-24 Sydney Louit , Evan Clark , Alexander Gelbard , Niketna Vivek , Jun Yan , Panpan Zhang
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