On the concepts of [alpha]-recurrence and [alpha]-transience for Markov renewal process

Esa Nummelin

Stochastic Processes and their Applications, 1977, vol. 5, issue 1, 1-19

Abstract: Let I be a denumerable set and let Q = (Qij)i,j[set membership, variant]l be an irreducible semi-Markov kernel. The main results of the paper are: 1. (i) Q is [alpha]-recurrent (resp. [alpha]-transient, [alpha]-positive recurrent, [alpha]-null recurrent) if and only if it can be written in the form 73, where 0

Keywords: [alpha]-recurrent; Markov; renewalprocess; [alpha]-transient; semi-Markov; kernel; Q-matrix; directly; Riemann; Markov; process; integrable (search for similar items in EconPapers)
Date: 1977
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