A short proof of the Marchenko-Pastur theorem

We prove the Marchenko-Pastur theorem for random matrices with i.i.d. rows and a general dependence structure within the rows by a simple modification of the standard Cauchy-Stieltjes resolvent method

Testing for predictive ability in the presence of structural breaks (in Russian)

We propose a new approach to testing for predictive ability in the presence of structural breaks in data. Our approach extends the well-known results of West (1996) and West & McCracken (1998), and is alternative to methods developed in Giacomini & White (2006) and Giacomini & Rossi (2010).testing for predictive ability, forecast evaluation, structural change

Statistical methods of SNP data analysis with applications

Various statistical methods important for genetic analysis are considered and developed. Namely, we concentrate on the multifactor dimensionality reduction, logic regression, random forests and stochastic gradient boosting. These methods and their new modifications, e.g., the MDR method with "independent rule", are used to study the risk of complex diseases such as cardiovascular ones. The roles of certain combinations of single nucleotide polymorphisms and external risk factors are examined. To perform the data analysis concerning the ischemic heart disease and myocardial infarction the supercomputer SKIF "Chebyshev" of the Lomonosov Moscow State University was employed