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A topological multiple testing approach to peak detection is proposed for the problem of detecting transcription factor binding sites in ChIP-Seq data. After kernel smoothing of the tag counts over th...
Let XI, X,, . . . be some standardized stationary Gaussian process and let us put: Our purpose is to prove an almost sure central limit theorem for the sequence (MkS,t/ sh under suitable normalizat...
We provide a simple probabilistic proof of a result of J. Král and I. Netuka: If f is a measurable real-valued function on Rd (d> 1) then the set of points at which f has a strict fine local maxim...
Consider a sequence of multinomial random vectors with increasing number of equiprobable cells. We show that if the number of trials increases fast enough, the sequence of maxima of the cells after a ...

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