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The advent of accessible ancient DNA technology now allows the direct ascertainment of allele frequencies in ancestral populations, thereby enabling the use of allele frequency time series to detect and estimate natural selection. Such…

Populations and Evolution · Quantitative Biology 2016-01-21 Joshua G. Schraiber , Steven N. Evans , Montgomery Slatkin

The sample frequency spectrum (SFS) of DNA sequences from a collection of individuals is a summary statistic which is commonly used for parametric inference in population genetics. Despite the popularity of SFS-based inference methods,…

Populations and Evolution · Quantitative Biology 2015-06-24 Jonathan Terhorst , Yun S. Song

The search for new significant peaks over a energy spectrum often involves a statistical multiple hypothesis testing problem. Separate tests of hypothesis are conducted at different locations producing an ensemble of local p-values, the…

Data Analysis, Statistics and Probability · Physics 2016-12-16 Sara Algeri , David A. van Dyk , Jan Conrad , Brandon Anderson

We explore the interaction between two genetic incompatibilities (underdominant loci in diploid organisms) in a population occupying a one-dimensional space. We derive a system of partial differential equations describing the dynamics of…

Analysis of PDEs · Mathematics 2021-04-08 Matthieu Alfaro , Quentin Griette , Denis Roze , Benoît Sarels

Biologists have long sought a way to explain how statistical properties of genetic sequences emerged and are maintained through evolution. On the one hand, non-random structures at different scales indicate a complex genome organisation. On…

Quantitative Methods · Quantitative Biology 2018-11-01 Giampaolo Cristadoro , Mirko Degli Esposti , Eduardo G. Altmann

A rigorous methodology is proposed to study cell division data consisting in several observed genealogical trees of possibly different shapes. The procedure takes into account missing observations, data from different trees, as well as the…

Applications · Statistics 2013-04-15 Benoîte de Saporta , Anne Gégout Petit , Laurence Marsalle

The sample frequency spectrum of a segregating site is the probability distribution of a sample of alleles from a genetic locus, conditional on observing the sample to have more than one clearly different phenotypes. We present a model for…

Probability · Mathematics 2014-05-13 Arka Bhattacharya

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

Sex difference in allele frequency is an emerging topic that is critical to our understanding of ascertainment bias, as well as data quality particularly of the largely overlooked X chromosome. To detect sex difference in allele frequency…

Applications · Statistics 2022-12-26 Zhong Wang , Andrew D. Paterson , Lei Sun

Estimation of the allele frequency at genetic markers is a key ingredient in biological and biomedical research, such as studies of human genetic variation or of the genetic etiology of heritable traits. As genetic data becomes increasingly…

Applications · Statistics 2007-12-18 Marc Coram , Hua Tang

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

We propose a method for detecting differential gene expression that exploits the correlation between genes. Our proposal averages the univariate scores of each feature with the scores in correlation neighborhoods. In a number of real and…

Statistics Theory · Mathematics 2007-06-13 Robert Tibshirani , Larry Wasserman

We introduce genetic algorithms as a means to estimate the accuracy required to discriminate among different models using experimental observables. We exemplify the technique in the context of the minimal supersymmetric standard model. If…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. C. Allanach , D. Grellscheid , F. Quevedo

Adaptation in response to selection on polygenic phenotypes may occur via subtle allele frequencies shifts at many loci. Current population genomic techniques are not well posed to identify such signals. In the past decade, detailed…

Populations and Evolution · Quantitative Biology 2014-08-19 Jeremy J. Berg , Graham Coop

Although the applications of Non-Homogeneous Poisson Processes to model and study the threshold overshoots of interest in different time series of measurements have proven to provide good results, they needed to be complemented with an…

Applications · Statistics 2023-09-15 Biviana Marcela Suárez-Sierra , Arrigo Coen , Carlos Alberto Taimal

Clonal organisms present a particular challenge in population genetics because, in addition to the possible existence of replicates of the same genotype in a given sample, some of the hypotheses and concepts underlying classical population…

The detection of molecular signatures of selection is one of the major concerns of modern population genetics. A widely used strategy in this context is to compare samples from several populations, and to look for genomic regions with…

Populations and Evolution · Quantitative Biology 2013-01-24 Marìa Inès Fariello , Simon Boitard , Hugo Naya , Magali SanCristobal , Bertrand Servin

Whole and targeted sequencing of human genomes is a promising, increasingly feasible tool for discovering genetic contributions to risk of complex diseases. A key step is calling an individual's genotype from the multiple aligned short read…

Applications · Statistics 2012-06-29 Baiyu Zhou , Alice S. Whittemore

Anomalies are strange data points; they usually represent an unusual occurrence. Anomaly detection is presented from the perspective of Wireless sensor networks. Different approaches have been taken in the past, as we will see, not only to…

Machine Learning · Computer Science 2017-08-30 Pelumi Oluwasanya

We consider detecting the evolutionary oscillatory pattern of a signal when it is contaminated by non-stationary noises with complexly time-varying data generating mechanism. A high-dimensional dense progressive periodogram test is proposed…

Methodology · Statistics 2023-07-20 Hau-Tieng Wu , Zhou Zhou