Dmitrii Zholud

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This paper develops tail estimation methods to handle false positives in multiple testing problems where testing is done at extreme significance levels and with low degrees of freedom, and where the true null distribution may differ from the theoretical one. We show that the number of false positives, conditional on the total number of positives,(More)
In high-throughput screening – experiments using very many statistical tests but with a real effect expected only in a small proportion of them – extreme tails of distributions are the center of interest. Hence Extreme Value Statistics, or EVS, provides natural analysis tools. Typically data is subjected to considerable preprocessing. As a consequence, the(More)
This material contains introduction to the SmartTail software; proofs of Theorems 1, 2, and 3 in the paper; derivation of equation (10); additional results and discussion for dependent p-values; sandwich estimators for dependent p-values; additional plots for the yeast genome and salt stress screening data; and two additional examples: association mapping(More)
Disclaimer: This is a version of an unedited manuscript that has been accepted for publication. As a service to authors and researchers we are providing this version of the accepted manuscript (AM). Copyediting, typesetting, and review of the resulting proof will be undertaken on this manuscript before final publication of the Version of Record (VoR).(More)
We prove continuity of the limit distribution function of certain multiscale test statistics which are used in nonparametric curve estimation. A particular variant of multiscale testing was introduced in Dümbgen and Spokoiny (2001) in order to test qualitative hypotheses about an unknown regression function such as nonpositivity, monotonicity or concavity.(More)
This thesis deals with inference problems related to the Renshaw-Särkkä growth interaction model (RS-model). It is a continuous time spatio-temporal point process with time dependent interacting marks, in which the immigration-death process (a continuous time Markov chain) controls the arrivals of new marked points as well as their potential lifetimes. The(More)
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