8 citations · 44 across the 12 of their papers we have counts for
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math.PR2021★ 5 cited
A multivariate CLT for <<typical>> weighted sums with rate of convergence of order O(1/n)
Sagak A. Ayvazyan, Vladimir V. Ulyanov
The "typical" asymptotic behavior of the weighted sums of independent random vectors in -dimensional space is considered. It is shown that in this case the rate of convergence i…
math.ST2021
Inference via Randomized Test Statistics
Nikita Puchkin, Vladimir Ulyanov
We show that external randomization may enforce the convergence of test statistics to their limiting distributions in particular cases. This results in a sharper inference. Our app…
math.PR2021★ 8 cited
On rate of convergence to the Poisson law of the number of cycles in the generalized random graphs
Sergey G. Bobkov, Maria A. Danshina, Vladimir V. Ulyanov
Convergence of order is obtained for the distance in total variation between the Poisson distribution and the distribution of the number of fixed size cycles in gen…