On the accuracy of the Gaussian approximation

I. S. Tyurin1
1Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia

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Tài liệu tham khảo

A. C. Berry, Trans. Am. Math. Soc. 49(1), 122–139 (1941).

C.-G. Esseen, Ark. Mat. Astron. Fys. A28(9), 1–19 (1942).

H. Bergström, Skand. Aktuar. J. 33, 37–62 (1949).

K. Takano, Res. Mem. Inst. Math. 9(6), 4.08–4.15 (1951).

V. M. Zolotarev, Teor. Veroyatn. Ee Primen. 10, 519–526 (1965).

V. M. Zolotarev, Teor. Veroyatn. Ee Primen. 11, 108–119 (1966).

V. M. Zolotarev, Z. Wahrsch. Verw. Geb. 8, 332–342 (1967).

V. M. Zolotarev, Dokl. Akad. Nauk SSSR 177, 501–504 (1967).

P. van Beek, Z. Wahrsh Verw. Geb. 23, 187–196 (1972).

I. S. Shiganov, Tr. VNIISI, 109–115 (1982).

I. G. Shevtsova, Teor. Veroyatn. Ee Primen. 51, 622–626 (2006).

C.-G. Esseen, Scand. Aktuar. J. 39, 160–170 (1956).

L. Goldstein and G. Reinert, Ann. Appl. Prob. 7, 935–952 (1997).

W. Hoeffding, Ann. Math. Stat. 26(2), 268–275 (1955).

H. Prawitz, Scand. Actuar. J., 145–156 (1975).