Precise asymptotics in some strong limit
✍
Allan Gut; Aurel Spătaru
📂
Article
📅
2003
🏛
Elsevier Science
🌐
English
⚖ 257 KB
-the positive d-dimensional lattice points with partial ordering p; let fX k ; kAZ d þ g be i.i.d. random variables with mean 0, and set S n ¼ P kpn X k ; nAZ d þ : We establish precise asymptotics for P n jnj r=pÀ2 PðjS n jXejnj 1=p Þ; and for P n ðlog jnjÞ d jnj PðjS n jX e ffiffiffiffiffiffiffiff