Frontiers of Mathematics in China >
Down/up crossing properties of weighted Markov collision processes
Received date: 25 Apr 2020
Accepted date: 09 Mar 2021
Published date: 15 Apr 2021
Copyright
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.
Yanyun LI , Junping LI . Down/up crossing properties of weighted Markov collision processes[J]. Frontiers of Mathematics in China, 2021 , 16(2) : 525 -542 . DOI: 10.1007/s11464-021-0921-x
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