| Article ID: | iaor19992712 |
| Country: | United Kingdom |
| Volume: | 35 |
| Issue: | 2 |
| Start Page Number: | 418 |
| End Page Number: | 426 |
| Publication Date: | Jun 1998 |
| Journal: | Journal of Applied Probability |
| Authors: | Nakatsuka Toshinao |
We introduce the concept of the absorbing process for analysing a state process. Our aim is to show the existence of the absorbing process with probability one. This process is shown to be stationary, asymptotically stationary, periodic or a.m.s., if the input distribution has such properties. The real process is absorbed into this process so that its stability and some other properties are easily derived.