87 citations · 178 across the 5 of their papers we have counts for
5 papers
Scanning a Poisson Random Field for Local Signals
Nancy R. Zhang, Benjamin Yakir, Charlie L. Xia +1
The detection of local genomic signals using high-throughput DNA sequencing data can be cast as a problem of scanning a Poisson random field for local changes in the rate of the pr…
On asymptotic constants in the theory of extremes for Gaussian processes
A. B. Dieker, B. Yakir
This paper gives a new representation of Pickands' constants, which arise in the study of extremes for a variety of Gaussian processes. Using this representation, we resolve the lo…
Detecting simultaneous variant intervals in aligned sequences
David Siegmund, Benjamin Yakir, Nancy R. Zhang
Given a set of aligned sequences of independent noisy observations, we are concerned with detecting intervals where the mean values of the observations change simultaneously in a s…
The distribution of maxima of approximately Gaussian random fields
Yuval Nardi, David O. Siegmund, Benjamin Yakir
Motivated by the problem of testing for the existence of a signal of known parametric structure and unknown ``location'' (as explained below) against a noisy background, we obtain…
An Urn Model of Diaconis
David Siegmund, Benjamin Yakir
An urn model of Diaconis and some generalizations are discussed. A convergence theorem is proved that implies for Diaconis' model that the empirical distribution of balls in the ur…