Linear-fractional branching processes with countably many types

Details Linear-fractional branching processes with countably many types Linear-fractional branching processes with countably many types

2011-11-20

arxiv.org/abs/1111.4689v1

Mathematics

Probability

Scientific paper

This paper is devoted to a special class of the Bienaym\'e-Galton-Watson processes with a countable type space whose probability generating functions are linear-fractional. For such processes using various tools (contour process, spinal representation, Perron-Frobenius theorem for countable matrices, renewal theory) we obtain a transparent criterion for R-positive recurrence with respect to the type space.

Affiliated with

Also associated with

No associations

Rating

Linear-fractional branching processes with countably many types does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Linear-fractional branching processes with countably many types, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Linear-fractional branching processes with countably many types will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-375520