Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1152199 | Statistics & Probability Letters | 2012 | 11 Pages |
Abstract
Let {X,Xn,n≥1}{X,Xn,n≥1} be a sequence of i.i.d. random variables, and set Sn=X1+⋯+XnSn=X1+⋯+Xn. For 1
0δ>0, we establish conditions for the convergence of the related series ∑n≥2np−2P(|Sn|≥(2p−2)nlogn+δn1/2loglogn(2p−2)nlogn), and derive its precise asymptotic as δ↘1/2δ↘1/2.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Deli Li, Aurel Spătaru,