| Article ID: | iaor1990779 |
| Country: | Israel |
| Volume: | 26 |
| Issue: | 3 |
| Start Page Number: | 1 |
| End Page Number: | 7 |
| Publication Date: | Sep 1989 |
| Journal: | Journal of Applied Probability |
| Authors: | Doney R.A., Greg D.R. |
Certain limit theorems due to Berman involve the total time spent by Brownian motion with positive drift below an independent exponentially distributed level. Imhof has calculated the density function and shown that this random variable has two interesting probabilistic properties. The authors give sample path arguments which explain these two facts.