activity
20112021
most citedA short proof of the Marchenko-Pastur theorem

36 citations · 86 across the 8 of their papers we have counts for

collaborators

9 papers

math.PR2021

Marchenko-Pastur law for a random tensor model

Pavel Yaskov

We study the limiting spectral distribution of large-dimensional sample covariance matrices associated with symmetric random tensors formed by different products of…

math.PR2021

Limiting spectral distribution for large sample covariance matrices with graph-dependent elements

Pavel Yaskov

We obtain the limiting spectral distribution for large sample covariance matrices associated with random vectors having graph-dependent entries under the assumption that the interd…

math.PR2015★ 16 cited

Variance inequalities for quadratic forms with applications

Pavel Yaskov

We obtain variance inequalities for quadratic forms of weakly dependent random variables with bounded fourth moments. We also discuss two application. Namely, we use these inequali…

math.PR2015★ 5 cited

The existence of Riemann-Stieltjes integrals with applications to fractional Brownian motion

Pavel Yaskov

We derive general sufficient conditions for the existence of Riemann-Stieltjes integrals . Our results extend the classical conditions of L.C.Young and improve some…

math.PR2015

The necessary and sufficient conditions in the Marchenko-Pastur theorem

Pavel Yaskov

We show that a weak concentration property for quadratic forms of isotropic random vectors is necessary and sufficient for the validity of the Marchenko-Pastur theorem fo…

math.PR2015★ 36 cited

A short proof of the Marchenko-Pastur theorem

Pavel Yaskov

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-Stielt…