Multi-type branching processes with time-dependent branching rates
| dc.contributor.author | Dolgopyat, D | |
| dc.contributor.author | Hebbar, P | |
| dc.contributor.author | Koralov, L | |
| dc.contributor.author | Perlman, M | |
| dc.date.accessioned | 2019-09-18T13:56:23Z | |
| dc.date.available | 2019-09-18T13:56:23Z | |
| dc.date.issued | 2018-09-01 | |
| dc.date.updated | 2019-09-18T13:56:22Z | |
| dc.description.abstract | 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 ∞. | |
| dc.identifier.issn | 0021-9002 | |
| dc.identifier.issn | 1475-6072 | |
| dc.identifier.uri | ||
| dc.language | en | |
| dc.publisher | Cambridge University Press (CUP) | |
| dc.relation.ispartof | Journal of Applied Probability | |
| dc.relation.isversionof | 10.1017/jpr.2018.46 | |
| dc.subject | Science & Technology | |
| dc.subject | Physical Sciences | |
| dc.subject | Statistics & Probability | |
| dc.subject | Mathematics | |
| dc.subject | Multi-type branching | |
| dc.subject | extinction probability | |
| dc.subject | nonnegative matrix product | |
| dc.subject | exponential limit law | |
| dc.title | Multi-type branching processes with time-dependent branching rates | |
| dc.type | Journal article | |
| duke.contributor.orcid | Hebbar, P|0000-0002-4938-7264 | |
| pubs.begin-page | 701 | |
| pubs.end-page | 727 | |
| pubs.issue | 3 | |
| pubs.organisational-group | Trinity College of Arts & Sciences | |
| pubs.organisational-group | Duke | |
| pubs.organisational-group | Mathematics | |
| pubs.publication-status | Published | |
| pubs.volume | 55 |