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Shevtsova, Irina Gennad'evna

Statistics Math-Net.Ru
Total publications: 20
Scientific articles: 19
Presentations: 5

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Shevtsova, Irina Gennad'evna
Doctor of physico-mathematical sciences (2013)
Speciality: 01.01.05 (Probability theory and mathematical statistics)
Birth date: 18.02.1983
E-mail:
Website: http://cs.msu.ru
Keywords: central limit theorem, sum of independent random variables, normal approximation, Poisson random sum, convergence rate estimate, asymprorically exact constant, risk process, smoothing, Fourier--Stiltjes transform.

Subject:

Convergence rate estimates in the central limit theorem for sums of independent random variables, analytical methods of probability

   
Main publications:
  1. I. Shevtsova, “On the accuracy of the approximation of the complex exponent by the first terms of its Taylor expansion with applications”, Journal of Mathematical Analysis and Applications, 418 (2014), 185–210  crossref
  2. I. G. Shevtsova, “O tochnosti normalnoi approksimatsii dlya obobschennykh puassonovskikh raspredelenii”, TVP, 58:1 (2013), 152–176  mathnet  crossref
  3. Irina Shevtsova, “Moment-type estimates with asymptotically optimal structure for the accuracy of the normal approximation”, Annales Mathematicae et Informaticae, 39 (2012), 241–307  mathscinet
  4. I. G. Shevtsova, “Momentnye otsenki tochnosti normalnoi approksimatsii s utochnennoi strukturoi dlya summ nezavisimykh simmetrichnykh sluchainykh velichin”, TVP, 57:3 (2012), 499–532  mathnet  crossref; Theory Probab. Appl., 57:3 (2013), 468–496  crossref  isi
  5. I. G. Shevtsova, “Ob asimptoticheski pravilnykh postoyannykh v neravenstve Berri–Esseena–Katsa”, TVP, 55:2 (2010), 271–304  mathnet  crossref; Theory Probab. Appl., 55:2 (2011), 225–252  crossref  isi
  6. V. Korolev, I. Shevtsova, “An improvement of the Berry–Esseen inequality with applications to Poisson and mixed Poisson random sums”, Scandinavian Actuarial Journal, 2012:2 (2012), 81–105  crossref

http://www.mathnet.ru/eng/person34005
http://scholar.google.com/citations?user=PftdUjAAAAAJ&hl=en
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/783846

Publications in Math-Net.Ru
2018
1. I. G. Shevtsova, “Convergence rate estimates in the global CLT for compound mixed Poisson distributions”, Teor. Veroyatnost. i Primenen., 63:1 (2018),  89–116  mathnet  elib; Theory Probab. Appl., 63:1 (2018), 72–93  isi  scopus
2017
2. I. G. Shevtsova, “A moment inequality with application to convergence rate estimates in the global CLT for Poisson-binomial random sums”, Teor. Veroyatnost. i Primenen., 62:2 (2017),  345–364  mathnet  mathscinet  elib; Theory Probab. Appl., 62:2 (2018), 278–294  isi  scopus
2013
3. I. G. Shevtsova, “On the absolute constants in the Berry–Esseen inequality and its structural and nonuniform improvements”, Inform. Primen., 7:1 (2013),  124–125  mathnet
4. I. G. Shevtsova, “On the accuracy of the normal approximation to compound Poisson distributions”, Teor. Veroyatnost. i Primenen., 58:1 (2013),  152–176  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 58:1 (2014), 138–158  isi  elib  scopus
2012
5. I. G. Shevtsova, “Moment estimates for the exactness of normal approximation with specified structure for sums of independent symmetrical random variables”, Teor. Veroyatnost. i Primenen., 57:3 (2012),  499–532  mathnet  mathscinet  elib; Theory Probab. Appl., 57:3 (2013), 468–496  isi  elib  scopus
6. Yu. S. Nefedova, I. G. Shevtsova, “Nonuniform estimates of convergence rate in the central limit theorem”, Teor. Veroyatnost. i Primenen., 57:1 (2012),  62–97  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 57:1 (2013), 28–59  isi  elib  scopus
2011
7. V. Yu. Korolev, I. G. Shevtsova, S. Ya. Shorgin, “On the Berry–Esseen type inequalities for poisson random sums”, Inform. Primen., 5:3 (2011),  64–66  mathnet
8. Yu. S. Nefedova, I. G. Shevtsova, “On the accuracy of the normal approximation to distributions of Poisson random sums”, Inform. Primen., 5:1 (2011),  39–45  mathnet
2010
9. M. E. Grigor'eva, I. G. Shevtsova, “An improvement of the Katz–Berry–Esseen inequality”, Inform. Primen., 4:2 (2010),  75–82  mathnet
10. I. G. Shevtsova, “Об асимптотически правильных постоянных в неравенстве Берри–Эссеена”, Teor. Veroyatnost. i Primenen., 55:3 (2010),  619–621  mathnet  elib
11. V. Yu. Korolev, I. G. Shevtsova, “A new moment estimate of the convergence rate in the Lyapunov theorem”, Teor. Veroyatnost. i Primenen., 55:3 (2010),  577–582  mathnet  mathscinet; Theory Probab. Appl., 55:3 (2011), 505–509  isi  scopus
12. I. G. Shevtsova, “On the asymptotically exact constants in the Berry–Esseen–Katz inequality”, Teor. Veroyatnost. i Primenen., 55:2 (2010),  271–304  mathnet  mathscinet; Theory Probab. Appl., 55:2 (2011), 225–252  isi  scopus
2009
13. M. O. Gaponova, I. G. Shevtsova, “Asymptotic estimates of the absolute constant in the Berry–Esseen inequality for distribution with unbounded third moment”, Inform. Primen., 3:4 (2009),  41–56  mathnet
14. I. G. Shevtsova, “Some estimates for characteristic functions with an application to sharpening the Mises inequality”, Inform. Primen., 3:3 (2009),  69–78  mathnet
15. V. Yu. Korolev, I. G. Shevtsova, “An upper estimate for the absolute constant in the Berry–Esseen inequality”, Teor. Veroyatnost. i Primenen., 54:4 (2009),  671–695  mathnet  mathscinet; Theory Probab. Appl., 54:4 (2010), 638–658  isi  scopus
2006
16. I. G. Shevtsova, “Some non-uniform estimates of convergence rate in the central limit theorem for sums of independent random variables with bounded densities”, Sistemy i Sredstva Inform., 2006, special issue,  286–308  mathnet
17. I. G. Shevtsova, “Sharpening of the upper-estimate of the absolute constant in the Berry–Esseen inequality”, Teor. Veroyatnost. i Primenen., 51:3 (2006),  622–626  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 51:3 (2007), 549–553  isi  scopus
2005
18. V. Yu. Korolev, I. G. Shevtsova, “On the accuracy of the normal approximation. II”, Teor. Veroyatnost. i Primenen., 50:3 (2005),  555–564  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 50:3 (2006), 473–482  isi
19. V. Yu. Korolev, I. G. Shevtsova, “On the accuracy of the normal approximation. I”, Teor. Veroyatnost. i Primenen., 50:2 (2005),  353–366  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 50:2 (2006), 298–310  isi

2011
20. I. G. Shevtsova, “Errata to the paper in TVP, v. 55, no. 2, p. 271–304”, Teor. Veroyatnost. i Primenen., 56:1 (2011),  205–206  mathnet  mathscinet  elib; Theory Probab. Appl., 56:1 (2012), 178–179  scopus

Presentations in Math-Net.Ru
1. Some Recent Results in the Field of Accuracy of the Normal Approximation to Sums of Independent Random Variables
I. G. Shevtsova
International Scientific Conference "Probability Theory and its Applications" On Occasion of 85th Birthday of Yu. V. Prokhorov
February 14, 2015 15:30   
2. Моментные оценки точности нормальной аппроксимации с оптимальной структурой для сумм независимых случайных величин
I. G. Shevtsova
Seminar on Probability Theory and Mathematical Statistics
November 16, 2012 18:00
3. Exact and asymptotically exact constants in the Berry - Esseen inequality, its refinements and generalizations. Part II
V. Yu. Korolev, I. G. Shevtsova
Principle Seminar of the Department of Probability Theory, Moscow State University
November 18, 2009 16:45
4. Exact and asymptotically exact constants in the Berry - Esseen inequality, its refinements and generalizations. Part I
V. Yu. Korolev, I. G. Shevtsova
Principle Seminar of the Department of Probability Theory, Moscow State University
October 21, 2009 16:45
5. О точности нормальной аппроксимации для распределений сумм независимых случайных величин
V. Yu. Korolev, I. G. Shevtsova
Principle Seminar of the Department of Probability Theory, Moscow State University
December 7, 2005

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