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Down/up crossing properties of weighted Markov collision processes |
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| Authors: | Yanyun LI Junping LI |
| Affiliation: | School of Mathematics and Statistics, Central South University, Changsha 410083, China |
| Abstract: | This paper concentrates on considering the down/up crossing property of weighted Markov collision processes. The joint probability generating function of down crossing and up crossing numbers of weighted Markov collision processes until its extinction are obtained by constructing and studying a related multi-dimensional Markov chain. Hence, the joint probability distribution of down crossing and up crossing numbers and the mean numbers are obtained. |
| Keywords: | Weighted Markov collision process down crossing up crossing joint probability distribution |
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