RESEARCH ARTICLE

Down/up crossing properties of weighted Markov collision processes

  • Yanyun LI ,
  • Junping LI
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  • School of Mathematics and Statistics, Central South University, Changsha 410083, China

Received date: 25 Apr 2020

Accepted date: 09 Mar 2021

Published date: 15 Apr 2021

Copyright

2021 Higher Education Press

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.

Cite this article

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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