17 citations · 21 across the 4 of their papers we have counts for
4 papers
Strong Gaussian approximation for cumulative processes with heavy tails
Elena Bashtova, Alexey Shashkin
This paper is a continuation of work arXiv:2006.09583 devoted to establishment of the convergence rate in the strong invariance principle for cumulative processes. We establish opt…
Strong Gaussian approximation for cumulative processes
Elena Bashtova, Alexey Shashkin
We establish optimal logarithmic rates of convergence in the strong invariance principle for multivariate cumulative processes in the Smith's sense. Exponential probabilistic inequ…
Statistical methods of SNP data analysis with applications
Alexander Bulinski, Oleg Butkovsky, Alexey Shashkin +1
Various statistical methods important for genetic analysis are considered and developed. Namely, we concentrate on the multifactor dimensionality reduction, logic regression, rando…
Strong invariance principle for dependent random fields
Alexander Bulinski, Alexey Shashkin
A strong invariance principle is established for random fields which satisfy dependence conditions more general than positive or negative association. We use the approach of Csörgő…