On the upper bound in the large deviation principle for sums of random vectors

Author:

Mogul’skiĭ A. A.

Publisher

Allerton Press

Subject

General Mathematics

Reference12 articles.

1. R. Azencott, “Grandes déviations et applications,” Eighth Saint Flour Probability Summer School-1978 (Saint Flour, 1978), Lecture Notes in Math. V. 774 (Springer, Berlin, 1980), 1–176.

2. A. A. Borovkov, “Boundary-value problems for random walks and large deviations in function spaces,” Teor. Veroyatnost. i Primenen. 12 635 (1967) [Theory Probab. Appl. 12, 575 (1967)].

3. A. A. Borovkov, Probability Theory (Editorial URSS, Moscow, 2009; Springer, London, 2013).

4. A. A. Borovkov and A. A. Mogul’skii, Large Deviations and Testing Statistical Hypotheses, Tr. Inst. Mat. 19 (Nauka, Novosibirsk, 1992) [Part I, Sib. Adv. Math. 2, 52 (1992); Part II, Sib. Adv. Math. 2, 43 (1992); Part III, Sib. Adv. Math. 3, 19 (1993); Part IV, Sib. Adv. Math. 3, 14 (1993)].

5. A. A. Borovkov and A. A. Mogul’skiĭ, “On large deviation principles in metric spaces,” Sibirsk. Mat. Zh. 51, 1251 (2010) [Siberian Math. J. 51, 989 (2010)].

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