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We consider a general branching population where the lifetimes of individuals are i.i.d.\ with arbitrary distribution and where each individual gives birth to new individuals at Poisson times independently from each other. In addition, we…

Probability · Mathematics 2017-01-26 Benoit Henry

Much of the on-going statistical analysis of DNA sequences is focused on the estimation of characteristics of coding and non-coding regions that would possibly allow discrimination of these regions. In the current approach, we concentrate…

Genomics · Quantitative Biology 2009-11-10 D. Kugiumtzis , A. Provata

Observed differences in mean phenotypic values across human groups have attracted renewed interest with the rise of large-scale genomic studies and polygenic risk prediction. However, the genetic basis of these differences is far more…

Populations and Evolution · Quantitative Biology 2026-05-25 Nicole Kleman , Meng Lin , Christopher R. Gignoux , Arslan A. Zaidi

In forensic DNA calculations of relatedness of individuals and in DNA mixture analyses, two sources of uncertainty are present concerning the allele frequencies used for evaluating genotype probabilities when evaluating likelihoods. They…

Applications · Statistics 2015-10-07 Robert Cowell

In genetic association studies, detecting disease-genotype associations is a primary goal. For most diseases, the underlying genetic model is unknown, and we study seven robust test statistics for monotone association. For a given test…

Methodology · Statistics 2020-04-13 Mette Langaas , Øyvind Bakke

Phylogenetic methods typically rely on an appropriate model of how data evolved in order to infer an accurate phylogenetic tree. For molecular data, standard statistical methods have provided an effective strategy for extracting…

Populations and Evolution · Quantitative Biology 2015-01-21 Robert W. Scotland , Mike Steel

We propose a copula based method to handle missing values in multivariate data of mixed types in multilevel data sets. Building upon the extended rank likelihood of \cite{hoff2007extending} and the multinomial probit model, our model is a…

Methodology · Statistics 2017-02-28 Jiali Wang , Bronwyn Loong , Anton H. Westveld , Alan H. Welsh

Many aspects of the historical relationships between populations in a species are reflected in genetic data. Inferring these relationships from genetic data, however, remains a challenging task. In this paper, we present a statistical model…

Populations and Evolution · Quantitative Biology 2012-11-20 Joseph K. Pickrell , Jonathan K. Pritchard

In biomedical research, to obtain more accurate prediction results from a target study, leveraging information from multiple similar source studies is proved to be useful. However, in many biomedical applications based on real-world data,…

Methodology · Statistics 2025-12-29 Xiaokang Liu , Jie Hu , Naimin Jing , Yang Ning , Cheng Yong Tang , Runze Li , Yong Chen

The human genotope is the convex hull of all allele frequency vectors that can be obtained from the genotypes present in the human population. In this paper we take a few initial steps towards a description of this object, which may be…

Populations and Evolution · Quantitative Biology 2011-11-10 Peter Huggins , Lior Pachter , Bernd Sturmfels

Probability modelling for DNA sequence evolution is well established and provides a rich framework for understanding genetic variation between samples of individuals from one or more populations. We show that both classical and more recent…

Populations and Evolution · Quantitative Biology 2018-06-07 Asger Hobolth , Arno Siri-Jégousse , Mogens Bladt

Background: Selecting feature genes to predict phenotypes is one of the typical tasks in analyzing genomics data. Though many general-purpose algorithms were developed for prediction, dealing with highly correlated genes in the prediction…

Applications · Statistics 2022-04-11 Li Xing , Songwan Joun , Kurt Mackay , Mary Lesperance , Xuekui Zhang

Having a precise knowledge of the dispersal ability of a population in a heterogeneous environment is of critical importance in agroecology and conservation biology as it can provide management tools to limit the effects of pests or to…

Populations and Evolution · Quantitative Biology 2015-03-19 L. Roques , E. Walker , P. Franck , S. Soubeyrand , E. K. Klein

The rapid development of sequencing technologies represents new opportunities for population genetics research. It is expected that genomic data will increase our ability to reconstruct the history of populations. While this increase in…

Populations and Evolution · Quantitative Biology 2014-12-04 Olivier Mazet , Willy Rodríguez , Lounès Chikhi

The investigation of allele frequency trajectories in populations evolving under controlled environmental pressures has become a popular approach to study evolutionary processes on the molecular level. Statistical models based on…

Machine Learning · Computer Science 2025-07-29 Julia Siekiera , Christian Schlötterer , Stefan Kramer

An assumed density approximate likelihood is derived for a class of partially observed stochastic compartmental models which permit observational over-dispersion. This is achieved by treating time-varying reporting probabilities as latent…

Methodology · Statistics 2025-05-22 Michael Whitehouse

Genetic association study is an essential step to discover genetic factors that are associated with a complex trait of interest. In this paper we present a novel generalized quasi-likelihood score (GQLS) test that is suitable for a study…

Applications · Statistics 2011-11-24 Zeny Feng , William W. L. Wong , Xin Gao , Flavio Schenkel

Humans have $23$ pairs of homologous chromosomes. The homologous pairs are almost identical pairs of chromosomes. For the most part, differences in homologous chromosome occur at certain documented positions called single nucleotide…

Information Theory · Computer Science 2015-02-09 Govinda M. Kamath , Eren Şaşoğlu , David Tse

Tens of thousands of simultaneous hypothesis tests are routinely performed in genomic studies to identify differentially expressed genes. However, due to unmeasured confounders, many standard statistical approaches may be substantially…

Methodology · Statistics 2025-03-18 Jin-Hong Du , Larry Wasserman , Kathryn Roeder

Latent position models are widely used for the analysis of networks in a variety of research fields. In fact, these models possess a number of desirable theoretical properties, and are particularly easy to interpret. However, statistical…

Computation · Statistics 2023-03-08 Riccardo Rastelli , Florian Maire , Nial Friel
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