| Article ID: | iaor1989373 |
| Country: | United Kingdom |
| Volume: | 25 |
| Issue: | 4 |
| Start Page Number: | 808 |
| End Page Number: | 814 |
| Publication Date: | Dec 1988 |
| Journal: | Journal of Applied Probability |
| Authors: | Crank Keith N. |
This paper presents a method of approximating the state probabilities for a continuous-time Markov chain. This is done by constructing a right-shift process and then solving the Kolmogorov system of differential equations recursively. By solving a finite number of the differential equations, it is possible to obtain the state probabilities to any degree of accuracy over any finite time interval.