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...
Saved in:
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 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Asymptotic expansions in the large deviation zones for the distribution function of sums of random variables in the series scheme
by: Dovilė Deltuvienė, et al.
Published: (2003-12-01) -
Asymptotic expansion for the distribution density function of the quadratic form of a stationary Gaussian process in the large deviation Cramer zone
by: Leonas Saulis
Published: (2000-12-01) -
Asymptotic expansion for the density function of the series scheme of a random variables in the large deviation in Cramer zone
by: Dovilė Deltuvienė, et al.
Published: (2001-12-01) -
The discounted limit theorems for large deviations
by: Dovilė Deltuvienė, et al.
Published: (2003-12-01) -
Large deviation theorems for weighted summation of Gamma-distribution random variables
by: Leonas Saulis
Published: (2002-12-01)