Asymptotic expansion in the zones of large deviations in terms of Lyapunov's fractions

Tarkime, kad atsitiktiniai dyžiai (at.d.) ξj su vidurkiais  Eξj = 0 ir dispersijomis σj2 = E ξj2 > 0,  j =  1, 2, ... , n, tenkina sąlygą: ∃ dydžiai γ > 0 ir τn > 0 tokie, kad Liapunovo trupmenos Lk, n := ∑j =1n E|ξj|k/ Bnk ≤ (k!)1 + γ/ τnk-2, k =3, 4, ... , Bn2 =  ∑j =1n σj2. Esant patenk...

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Bibliographic Details
Main Author: Leonas Saulis
Format: Article
Language:English
Published: Vilnius University Press 1998-12-01
Series:Lietuvos Matematikos Rinkinys
Online Access:https://ojs.test/index.php/LMR/article/view/37990
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