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Higher Criticism, or second-level significance testing, is a multiple comparisons concept mentioned in passing by Tukey (1976). It concerns a situation where there are many independent tests of...
A test of homogeneity tries to decide whether observations come from a single distribution or from a mixture of several distributions. A powerful theory has been developed for the case where the comp...
Copy number variations (CNVs) are gains and losses of DNA se-quence of a genome, which result in the abnormality of the cell or individual. The data from single nucleotide polymorphism (SNP) microar...
We develop statistically based methods to detect single nucleotide DNA mutations in next generation sequencing data. Sequencing generates counts of the number of times each base was observed at hundre...
Let $\C$ be a variety of finite groups. We use profinite Bass--Serre theory to show that if $u:H\hookrightarrow G$ is a map of finitely generated residually $\C$ groups such that the induced map $\hat...
The detection of coherent structures is an important problem in uid dynamics, particularly in geophysical applications. For instance, knowledge of how regions of uid are isolated from each other...
This study explores a method to characterize temporal structure of intermittent phase locking in oscillatory systems. When an oscillatory system is in a weakly synchronized regime away from a synchron...
This paper considers the problem of comparing two processes with panel data. A nonparametric test is proposed for detecting a monotone change in the link between the two process distributions. The t...
We observe two sequences of curve which are connected via an integral operator. Our model includes linear models as well as autoregressive models in Hilbert spaces. We wish to test the null hypothesis...
We give a short proof of the following theorem of Sang-hyun Kim:if A(􀀀) is a right-angled Artin group with de ning graph 􀀀, then A(􀀀) contains a hyperbolic surface subgroup ...
We give a short proof of the following theorem of Sang-hyun Kim:if A(􀀀) is a right-angled Artin group with de ning graph 􀀀, then A(􀀀) contains a hyperbolic surface subgroup ...
We investigate the reliability of a recent approach to use parameterized linear programming for detecting community structures in networks. Using a one-parameter family of objective functions, a numbe...

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