On strong laws of large numbers for arrays of rowwise independent random elements
oleh: Abolghassem Bozorgnia, Ronald Frank Patterson, Robert Lee Taylor
| Format: | Article |
|---|---|
| Diterbitkan: | Wiley 1993-01-01 |
Deskripsi
Let {Xnk} be an array of rowwise independent random elements in a separable Banach space of type r, 1≤r≤2. Complete convergence of n1/p∑k=1nXnk to 0, 0<p<r≤2 is obtained when sup1≤k≤nE ‖Xnk‖v=O(nα), α≥0 with v(1p−1r)>α+1. An application to density estimation is also given.