| Article ID: | iaor19972601 |
| Country: | Germany |
| Volume: | 44 |
| Issue: | 2 |
| Start Page Number: | 165 |
| End Page Number: | 180 |
| Publication Date: | Sep 1996 |
| Journal: | Metrika |
| Authors: | Walk H., Schwabe R. |
Based on the idea of averaging a new stochastic approximation algorithm has been proposed by Bather, which shows a preferable performance for small to moderate sample sizes. In the present paper an almost sure representation is established for this procedure, which gives the optimal rate of convergence with minimal asymptotic variance.