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Consider a supercritical birth and death process where the children acquire mutations. We study the mutation rates along the ancestral lineages in a sample of size $n$ from the population at time $T$. The mutation rate is time-inhomogenous…

Probability · Mathematics 2024-02-27 Yubo Shuai

We consider the accumulation of beneficial and deleterious mutations in large asexual populations. The rate of adaptation is affected by the total mutation rate, proportion of beneficial mutations and population size $N$. We show that…

Probability · Mathematics 2010-10-18 Feng Yu , Alison Etheridge , Charles Cuthbertson

We investigate the large-sample behavior of change-point tests based on weighted two-sample U-statistics, in the case of short-range dependent data. Under some mild mixing conditions, we establish convergence of the test statistic to an…

Statistics Theory · Mathematics 2023-04-04 Herold Dehling , Kata Vuk , Martin Wendler

In this article, discrete and stochastic changes in (effective) population size are incorporated into the spectral representation of a biallelic diffusion process for drift and small mutation rates. A forward algorithm inspired by…

Populations and Evolution · Quantitative Biology 2024-03-11 Lynette Caitlin Mikula , Claus Vogl

In this paper we discuss how to evaluate the differences between fitted logistic regression models across sub-populations. Our motivating example is in studying computerized diagnosis for learning disabilities, where sub-populations based…

Methodology · Statistics 2023-03-24 Guy Ashiri-Prossner , Yuval Benjamini

The expansion of a population into new habitat is a transient process that leaves its footprints in the genetic composition of the expanding population. How the structure of the environment shapes the population front and the evolutionary…

Populations and Evolution · Quantitative Biology 2018-11-26 Daniel A. Beller , Kim M. J. Alards , Francesca Tesser , Ricardo A. Mosna , Federico Toschi , Wolfram Möbius

As a common step in refining their scientific inquiry, investigators are often interested in performing some screening of a collection of given statistical hypotheses. For example, they may wish to determine whether any one of several…

Methodology · Statistics 2022-03-04 Adam Elder , Marco Carone , Peter Gilbert , Alex Luedtke

Testing for normality is a widely used procedure in statistics and data analysis, often applied prior to employing methods that rely on the assumption of normally distributed data. While several existing tests target distributional…

Methodology · Statistics 2026-04-07 Akin Anarat , Holger Schwender

Motivation: Recombination rates vary considerably at the fine scale within mammalian genomes, with the majority of recombination occurring within hotspots of ~2 kb in width. We present a method for inferring the location of recombination…

Quantitative Methods · Quantitative Biology 2014-03-19 Adam Auton , Simon Myers , Gil McVean

Newberry et al. (Detecting evolutionary forces in language change, Nature 551, 2017) tackle an important but difficult problem in linguistics, the testing of selective theories of language change against a null model of drift. Having…

Computation and Language · Computer Science 2020-05-08 Andres Karjus , Richard A. Blythe , Simon Kirby , Kenny Smith

Heterogeneities in environmental conditions often induce corresponding heterogeneities in the distribution of species. In the extreme case of a localized patch of increased growth rates, reproducing populations can become strongly…

Populations and Evolution · Quantitative Biology 2013-01-17 Lukas Geyrhofer , Oskar Hallatschek

Understanding patterns of selectively neutral genetic variation is essential in order to model deviations from neutrality, caused for example by different forms of selection. Best understood is neutral genetic variation at a single locus,…

Populations and Evolution · Quantitative Biology 2012-06-13 E. Schaper , A. Eriksson , M. Rafajlovic , S. Sagitov , B. Mehlig

Mounting evidence suggests that natural populations can harbor extensive fitness diversity with numerous genomic loci under selection. It is also known that genealogical trees for populations under selection are quantifiably different from…

Populations and Evolution · Quantitative Biology 2013-01-04 Adel Dayarian , Boris I Shraiman

Cultural traits such as words, names, decorative styles, and technical standards often assume arbitrary values and are thought to evolve neutrally. But neutral evolution cannot explain why some traits come and go in cycles of popularity…

Populations and Evolution · Quantitative Biology 2021-04-01 Mitchell G. Newberry , Joshua B. Plotkin

The influence of time-dependent fitnesses on the infinite population dynamics of simple genetic algorithms (without crossover) is analyzed. Based on general arguments, a schematic phase diagram is constructed that allows one to characterize…

Biological Physics · Physics 2007-05-23 Christopher Ronnewinkel , Claus O. Wilke , Thomas Martinetz

This paper introduces a new method for change detection in psychometric studies based on the recently introduced pseudo Score statistic, for which the sampling distribution under the alternative hypothesis has been determined. Our approach…

Methodology · Statistics 2024-08-09 Nicoletta D'Angelo

We propose a goodness-of-fit test for degree-corrected stochastic block models (DCSBM). The test is based on an adjusted chi-square statistic for measuring equality of means among groups of $n$ multinomial distributions with $d_1,\dots,d_n$…

Statistics Theory · Mathematics 2022-09-23 Linfan Zhang , Arash A. Amini

Various statistical tests have been developed for testing the equality of means in matched pairs with missing values. However, most existing methods are commonly based on certain distributional assumptions such as normality, 0-symmetry or…

Statistics Theory · Mathematics 2016-03-02 Lubna Amro , Markus Pauly

Studying the effects of groups of Single Nucleotide Polymorphisms (SNPs), as in a gene, genetic pathway, or network, can provide novel insight into complex diseases, above that which can be gleaned from studying SNPs individually. Common…

Applications · Statistics 2017-10-12 Ryan Sun , Xihong Lin

We study the basic statistical problem of testing whether normally distributed $n$-dimensional data has been truncated, i.e. altered by only retaining points that lie in some unknown truncation set $S \subseteq \mathbb{R}^n$. As our main…

Data Structures and Algorithms · Computer Science 2024-11-25 Anindya De , Shivam Nadimpalli , Rocco A. Servedio