Multi-type branching processes with time-dependent branching rates
Published
Journal Article
Copyright © Applied Probability Trust 2018. Under mild nondegeneracy assumptions on branching rates in each generation, we provide a criterion for almost sure extinction of a multi-type branching process with time-dependent branching rates. We also provide a criterion for the total number of particles (conditioned on survival and divided by the expectation of the resulting random variable) to approach an exponential random variable as time goes to ∞.
Full Text
Duke Authors
Cited Authors
- Dolgopyat, D; Hebbar, P; Koralov, L; Perlman, M
Published Date
- September 1, 2018
Published In
Volume / Issue
- 55 / 3
Start / End Page
- 701 - 727
International Standard Serial Number (ISSN)
- 0021-9002
Digital Object Identifier (DOI)
- 10.1017/jpr.2018.46
Citation Source
- Scopus