Abstract
We define the family of transient Markov arrival processes (transient MAPs) which combine features of transient (or terminating) renewal processes and of the well-known MAPs: transient MAPs are point processes on the line, controlled by a finite Markov chain, which almost surely comprise a finite number of points. We analyze their basic properties.
Citation
Guy Latouche. Marie-Ange Remiche. Peter Taylor. "Transient Markov arrival processes." Ann. Appl. Probab. 13 (2) 628 - 640, May 2003. https://doi.org/10.1214/aoap/1050689597
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