| Article ID: | iaor2000416 |
| Country: | Netherlands |
| Volume: | 87 |
| Issue: | 1 |
| Start Page Number: | 305 |
| End Page Number: | 317 |
| Publication Date: | Apr 1999 |
| Journal: | Annals of Operations Research |
| Authors: | Shi Dinghua |
In this paper, we give a new proof of the transition frequency formula for the state transition counting process in a vector Markov process. The formula was first presented by the author in the early eighties. We also derive the absorbing distribution, the renewal distribution and the entering probability formulas from the formula. As an application, we use derived results to reduce the analysis of a fluid model with random disruptions.