On the absolute constants in the Berry-Esseen type inequalities for identically distributed summands I Shevtsova arXiv preprint arXiv:1111.6554, 2011 | 242 | 2011 |
An improvement of the Berry–Esseen inequality with applications to Poisson and mixed Poisson random sums V Korolev, I Shevtsova Scandinavian Actuarial Journal 2012 (2), 81-105, 2012 | 176 | 2012 |
An improvement of convergence rate estimates in the Lyapunov theorem. IG Shevtsova Doklady Mathematics 82 (3), 2010 | 159 | 2010 |
On the upper bound for the absolute constant in the Berry–Esseen inequality VY Korolev, IG Shevtsova Theory of Probability & Its Applications 54 (4), 638-658, 2010 | 114 | 2010 |
On the absolute constants in the Berry–Esseen inequality and its structural and nonuniform improvements IG Shevtsova Informatika i Ee Primeneniya [Informatics and its Applications] 7 (1), 124-125, 2013 | 66 | 2013 |
Sharpening of the upper bound of the absolute constant in the Berry–Esseen inequality IG Shevtsova Theory of Probability & Its Applications 51 (3), 549-553, 2007 | 51 | 2007 |
On the asymptotically exact constants in the Berry–Esseen–Katz inequality IG Shevtsova Theory of Probability & Its Applications 55 (2), 225-252, 2011 | 30 | 2011 |
On nonuniform convergence rate estimates in the central limit theorem YS Nefedova, IG Shevtsova Theory of Probability & Its Applications 57 (1), 28-59, 2013 | 26* | 2013 |
Moment-type estimates with asymptotically optimal structure for the accuracy of the normal approximation I Shevtsova Ann. Math. Inform 39, 241-307, 2012 | 25 | 2012 |
Refinement of estimates for the rate of convergence in Lyapunov’s theorem IG Shevtsova Dokl. Akad. Nauk 435 (1), 26-28, 2010 | 25 | 2010 |
The lower asymptotically exact constant in the central limit theorem. IG Shevtsova Doklady Mathematics 81 (1), 2010 | 23 | 2010 |
On the accuracy of the normal approximation to compound Poisson distributions IG Shevtsova Theory of Probability & Its Applications 58 (1), 138-158, 2014 | 21 | 2014 |
On the accuracy of the approximation of the complex exponent by the first terms of its Taylor expansion with applications I Shevtsova Journal of Mathematical Analysis and Applications 418 (1), 185-210, 2014 | 19 | 2014 |
Esseen–Rozovskii type estimates for the rate of convergence in the Lindeberg theorem RA Gabdullin, VA Makarenko, IG Shevtsova Journal of Mathematical Sciences 234, 847-885, 2018 | 17 | 2018 |
Об асимптотически правильных постоянных в неравенстве Берри–Эссеена–Каца ИГ Шевцова Теория вероятностей и ее применения 55 (2), 271-304, 2010 | 17 | 2010 |
On the absolute constants in Nagaev–Bikelis-type inequalities I Shevtsova Inequalities and extremal problems in probability and statistics, 47-102, 2017 | 15 | 2017 |
On the accuracy of the normal approximation to distributions of Poisson random sums YS Nefedova, IG Shevtsova Informatika i Ee Primeneniya [Informatics and its Applications] 5 (1), 39-45, 2011 | 15 | 2011 |
Asymptotic estimates of the absolute constant in the Berry–Esseen inequality for distribution with unbounded third moment MO Gaponova, IG Shevtsova Informatika i Ee Primeneniya [Informatics and its Applications] 3 (4), 41-56, 2009 | 15 | 2009 |
On absolute constants in inequalities of Berry-Esseen type IG Shevtsova Dokl. Akad. Nauk 456 (6), 650-654, 2014 | 12 | 2014 |
On the accuracy of the normal approximation for sums of independent random variables. I Shevtsova Doklady Mathematics 85 (2), 2012 | 12 | 2012 |