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In the common time series model $X_{i,n} = \mu (i/n) + \varepsilon_{i,n}$ with non-stationary errors we consider the problem of detecting a significant deviation of the mean function $\mu$ from a benchmark $g (\mu )$ (such as the initial…

Statistics Theory · Mathematics 2020-05-25 Holger Dette , Florian Heinrichs

We are interested in testing general linear hypotheses in a high-dimensional multivariate linear regression model. The framework includes many well-studied problems such as two-sample tests for equality of population means, MANOVA and…

Methodology · Statistics 2018-10-05 Haoran Li , Alexander Aue , Debashis Paul

We consider the change point testing problem for high-dimensional time series. Unlike conventional approaches, where one tests whether the difference $\delta$ of the mean vectors before and after the change point is equal to zero, we argue…

Statistics Theory · Mathematics 2025-09-01 Pascal Quanz , Holger Dette

We establish the asymptotic normality of the regression estimator in a fixed-design setting when the errors are given by a field of dependent random variables. The result applies to martingale-difference or strongly mixing random fields. On…

Statistics Theory · Mathematics 2009-07-10 Mohamed El Machkouri , Radu Stoica

We perform population synthesis studies of different types of neutron stars (thermally emitting isolated neutron stars, normal radio pulsars, magnetars) taking into account the magnetic field decay and using results from the most recent…

High Energy Astrophysical Phenomena · Physics 2014-11-20 S. B. Popov , J. A. Pons , J. A. Miralles , P. A. Boldin , B. Posselt

Temporal environmental variations are ubiquitous in nature, yet most of the theoretical works in population genetics and evolution assume fixed environment. Here we analyze the effect of variations in carrying capacity on the fate of a…

Populations and Evolution · Quantitative Biology 2019-12-16 Immanuel Meyer , Nadav M. Shnerb

In population genetics, mutation rate is often treated as a homogeneous parameter across the genome. Empirical evidence, however, shows systematic variation across genomic contexts associated with chromatin organization and epigenomic…

Populations and Evolution · Quantitative Biology 2026-03-05 Elisa Heinrich-Mora , Marcus W. Feldman

Despite their importance in supporting experimental conclusions, standard statistical tests are often inadequate for research areas, like the life sciences, where the typical sample size is small and the test assumptions difficult to…

Methodology · Statistics 2011-04-15 Pietro Berkes , Jozsef Fiser

Neutral dynamics, where taxa are assumed to be demographically equivalent and their abundance is governed solely by the stochasticity of the underlying birth-death process, has proved itself as an important minimal model that accounts for…

Populations and Evolution · Quantitative Biology 2015-09-09 David Kessler , Samir Suweis , Marco Formentin , Nadav M. Shnerb

Trusting in others and reciprocating that trust with trustworthy actions are crucial to successful and prosperous societies. The Trust Game has been widely used to quantitatively study trust and trustworthiness, involving a sequential…

Statistical Mechanics · Physics 2021-01-04 Ik Soo Lim

In order to accommodate the empirical fact that population structures are rarely simple, modern studies of evolutionary dynamics allow for complicated and highly-heterogeneous spatial structures. As a result, one of the most difficult…

Populations and Evolution · Quantitative Biology 2022-07-07 Alex McAvoy , John Wakeley

Splicing sites provide unique statistics in human genome due to their large number and reasonably complete annotation. Analyses of the cumulative SNPs distribution in splicing sites reveal a few interesting observations. While a degree of…

Genomics · Quantitative Biology 2007-05-23 Dmitri Parkhomchuk

Biological networks of interacting agents exhibit similar topological properties for a wide range of scales, from cellular to ecological levels, suggesting the existence of a common evolutionary origin. A general evolutionary mechanism…

Disordered Systems and Neural Networks · Physics 2010-10-25 Juan I. Perotti , Orlando V. Billoni , Francisco A. Tamarit , Sergio A. Cannas

Mutation analysis can provide valuable insights into both System Under Test (SUT) and its test suite. However, it is not scalable due to the cost of building and testing a large number of mutants. Predictive Mutation Testing (PMT) has been…

Software Engineering · Computer Science 2022-09-15 Jinhan Kim , Juyoung Jeon , Shin Hong , Shin Yoo

In a short article submitted to ArXiv [1], Maddamsetti et al. argue that the variation in the neutral mutation rate among genes in Escherichia coli that we recently reported [2] might be explained by horizontal gene transfer (HGT). To…

Populations and Evolution · Quantitative Biology 2012-11-08 Inigo Martincorena , Nicholas M. Luscombe

We consider a biological population in which a beneficial mutation is undergoing a selective sweep when a second beneficial mutation arises at a linked locus and we investigate the probability that both mutations will eventually fix in the…

Probability · Mathematics 2008-12-02 Feng Yu , Alison Etheridge , Charles Cuthbertson

In stochastic evolutionary dynamics, the replacement of an existing genotype or cultural trait by a newly introduced mutant is typically characterized by the quantities of fixation probability and fixation time. But in a structured…

Populations and Evolution · Quantitative Biology 2026-05-27 David A. Brewster , Gabor Lippner , Josef Tkadlec , Martin A. Nowak

In the field of mutation analysis, mutation is the systematic generation of mutated programs (i.e., mutants) from an original program. The concept of mutation has been widely applied to various testing problems, including test set…

Software Engineering · Computer Science 2016-01-26 Donghwan Shin , Doo-Hwan Bae

This study derives a new property of the Wishart distribution when the degree-of-freedom and the size of the matrix parameter of the distribution grow simultaneoulsy. Particularly, the asymptotic normality of the product of four independent…

Statistics Theory · Mathematics 2022-03-29 Koji Tsukuda , Shun Matsuura

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
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