ReferencesV. Yu. Korolev, I. G. Shevtsova, S. Ya. Shorgin“On the Berry–Esseen type inequalities for poisson random sums”, Inform. Primen., 2011, Volume 5, Issue 3,Pages 64

On the Berry–Esseen type inequalities for poisson random sums
V. Yu. Korolev, I. G. Shevtsova, S. Ya. Shorgin



References

1.	Gnedenko B. V., Korolev V. Yu., Random summation: Limit theorems and applications, CRC Press, Boca Raton, 1996
2.	Bening V., Korolev V., Generalized Poisson models and their applications in insurance and finance, VSP, Utrecht, 2002
3.	Kruglov V. M., Korolev V. Yu., Predelnye teoremy dlya sluchainykh summ, MGU, M., 1990
4.	Michel R., “On Berry–Esseen results for the compound Poisson distribution”, Insurance: Mathematics and Economics, 13:1 (1993), 35–37
5.	Korolev V. Yu., Shorgin S. Ya., “On the absolute constant in the remainder term estimate in the central limit theorem for Poisson random sums”, Probabilistic Methods in Discrete Mathematics, 4th Petrozavodsk Conference (International) Proceedings, VSP, Utrecht, 1997, 305–308
6.	Korolev V. Yu., Shevtsova I. G., “Utochnenie verkhnei otsenki absolyutnoi postoyannoi v neravenstve Berri–Esseena dlya smeshannykh puassonovskikh sluchainykh summ”, Dokl. RAN, 431:1 (2010), 16–19
7.	Korolev V. Yu., Shevtsova I. G., “Utochnenie neravenstva Berri–Esseena s prilozheniyami k puassonovskim i smeshannym puassonovskim sluchainym summam”, Obozrenie prikladnoi i promyshlennoi matematiki, 17:1 (2010), 25–56
8.	Korolev V., Shevtsova I., “An impovement of the Berry–Esseen inequality with applications to Poisson and mixed Poisson random sums”, Scandinavian Actuarial J., 2010
9.	Nefedova Yu. S., Shevtsova I. G., “O tochnosti normalnoi approksimatsii dlya raspredelenii puassonovskikh sluchainykh summ”, Informatika i eë primeneniya, 5:1 (2010), 39–45
10.	Shorgin S. Ya., “O tochnosti normalnoi approksimatsii dlya raspredelenii sluchainykh summ s bezgranichno delimymi indeksami”, Teoriya veroyatnostei i ee primeneniya, 41:4 (1996), 920–926
11.	Shorgin S. Ya., “Approximation of generalized Poisson distributions: Comparison of Lyapunov fractions”, 21st Seminar on Stability Problems for Stochastic Models (January 28 – February 3, 2001, Eger, Hungary), Abstracts, Publishing House of University of Debrecen, 2001, 166–167
12.	Hoeffding W., “The extrema of the expected value of a function of independent random variables”, Ann. Math. Statist., 19 (1948), 239–325
13.	Zolotarev V. M., Sovremennaya teoriya summirovaniya nezavisimykh sluchainykh velichin, Nauka, M., 1986
14.	Tyurin I. S., “O skorosti skhodimosti v teoreme Lyapunova”, Teoriya veroyatnostei i ee primeneniya, 55:2 (2010), 250–270