Geodesic
Some Functional Stable Limit Theorems
Canadian mathematical bulletin, Tome 16 (1973) no. 2, pp. 173-177

Voir la notice de l'article provenant de la source Cambridge University Press

Let Xl,X2,X3, ... be a sequence of independent and identically distributed (i.i.d.) random variables which belong to the domain of attraction of a stable law of index α≠1. That is, 1 where and where L(n) is a function of slow variation; also take S0=0, B0=l.In §2, we are concerned with the weak convergence of the partial sum process to a stable process and the question of centering for stable laws and drift for stable processes. 
Beuerman, D. R. Some Functional Stable Limit Theorems. Canadian mathematical bulletin, Tome 16 (1973) no. 2, pp. 173-177. doi: 10.4153/CMB-1973-031-4
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