Vu Dinh,Frederick A Matsen th
Vu Dinh
By fixing all parameters in a phylogenetic likelihood model except for one branch length, one obtains a one-dimensional likelihood function. In this work, we introduce a mathematical framework to characterize the shapes of such one-dimensio...
TRACY-WIDOM AT EACH EDGE OF REAL COVARIANCE AND MANOVA ESTIMATORS [0.03%]
实证协方差和多元分析估计的 Tracy-Widom 边缘分布
Zhou Fan,Iain M Johnstone
Zhou Fan
We study the sample covariance matrix for real-valued data with general population covariance, as well as MANOVA-type covariance estimators in variance components models under null hypotheses of global sphericity. In the limit as matrix dim...
Convergence of empirical distributions in an interpretation of quantum mechanics [0.03%]
量子力学的一种解释中经验分布的收敛性问题
Ian W McKeague,Bruce Levin
Ian W McKeague
From its beginning, there have been attempts by physicists to formulate quantum mechanics without requiring the use of wave functions. An interesting recent approach takes the point of view that quantum effects arise solely from the interac...
Spatial Moran Models I. Stochastic Tunneling in the Neutral Case [0.03%]
空间 Moran 模型 Ⅰ. 中性情形下的随机穿隧效应
Richard Durrett,Stephen Moseley
Richard Durrett
We consider a multistage cancer model in which cells are arranged in a d-dimensional integer lattice. Starting with all wild-type cells, we prove results about the distribution of the first time when two neutral mutations have accumulated i...
Paul A Jenkins,Yun S Song
Paul A Jenkins
For population genetics models with recombination, obtaining an exact, analytic sampling distribution has remained a challenging open problem for several decades. Recently, a new perspective based on asymptotic series has been introduced to...
FAST APPROACH TO THE TRACY-WIDOM LAW AT THE EDGE OF GOE AND GUE [0.03%]
GOE和GUE边缘的Tracy-Widom律的快速逼近方法
Iain M Johnstone,Zongming Ma
Iain M Johnstone
We study the rate of convergence for the largest eigenvalue distributions in the Gaussian unitary and orthogonal ensembles to their Tracy-Widom limits. We show that one can achieve an O(N-2/3) rate with particular choices of the centering a...
POPULATION GENETICS OF NEUTRAL MUTATIONS IN EXPONENTIALLY GROWING CANCER CELL POPULATIONS [0.03%]
指数增长的癌细胞种群中中性突变的群体遗传学研究
Rick Durrett
Rick Durrett
In order to analyze data from cancer genome sequencing projects, we need to be able to distinguish causative, or "driver," mutations from "passenger" mutations that have no selective effect. Toward this end, we prove results concerning the ...
Paul A Jenkins,Yun S Song
Paul A Jenkins
Ewens sampling formula (ESF) is a one-parameter family of probability distributions with a number of intriguing combinatorial connections. This elegant closed-form formula first arose in biology as the stationary probability distribution of...
ROC AND THE BOUNDS ON TAIL PROBABILITIES VIA THEOREMS OF DUBINS AND F. RIESZ [0.03%]
ROC与尾概率的界及Dubins和F.Riesz定理的应用
Eric Clarkson,J L Denny,Larry Shepp
Eric Clarkson
For independent X and Y in the inequality P(X ≤ Y + μ), we give sharp lower bounds for unimodal distributions having finite variance, and sharp upper bounds assuming symmetric densities bounded by a finite constant. The lower bounds depen...