Markovian trees subject to catastrophes: would they survive forever?
| dc.contributor.author | Hautphenne, S. | |
| dc.contributor.author | Latouche, G. | |
| dc.contributor.author | Nguyen, G. | |
| dc.contributor.conference | 7th International Conference on Matrix- Analytic Methods in Stochastic Models (MAM7 ) (13 Jun 2011 - 16 Jun 2011 : New York) | |
| dc.contributor.editor | Latouche, G. | |
| dc.contributor.editor | Ramaswami, V. | |
| dc.contributor.editor | Sethuraman, J. | |
| dc.contributor.editor | Sigman, K. | |
| dc.contributor.editor | Squillante, M. | |
| dc.contributor.editor | Yao, D. | |
| dc.date.issued | 2013 | |
| dc.description.abstract | We consider multitype Markovian branching processes subject to catastrophes which kill random numbers of living individuals at random epochs. It is well known that the criteria for the extinction of such a process is related to the conditional growth rate of the population, given the history of the process of catastrophes, and that it is usually hard to evaluate. We give a simple characterization in the case where all individuals have the same probability of surviving a catastrophe, and we determine upper and lower bounds in the case where survival depends on the type of individual. The upper bound appears to be often much tighter than the lower bound. | |
| dc.description.statementofresponsibility | Sophie Hautphenne, Guy Latouche, and Giang T. Nguyen | |
| dc.identifier.citation | Springer Proceedings in Mathematics and Statistics, 2013 / Latouche, G., Ramaswami, V., Sethuraman, J., Sigman, K., Squillante, M., Yao, D. (ed./s), vol.27, pp.87-106 | |
| dc.identifier.doi | 10.1007/978-1-4614-4909-6_5 | |
| dc.identifier.isbn | 146144909X | |
| dc.identifier.isbn | 9781461449096 | |
| dc.identifier.issn | 2194-1009 | |
| dc.identifier.issn | 2194-1017 | |
| dc.identifier.uri | http://hdl.handle.net/2440/86702 | |
| dc.language.iso | en | |
| dc.publisher | Springer Science & Business Media | |
| dc.relation.ispartofseries | Springer Proceedings in Mathematics & Statistics; 27 | |
| dc.rights | © Springer Science+Business Media New York 2013 | |
| dc.source.uri | http://dx.doi.org/10.1007/978-1-4614-4909-6_5 | |
| dc.subject | Branching processes; matrix-analytic methods; catastrophes; extinction criteria; Lyapunov exponent | |
| dc.title | Markovian trees subject to catastrophes: would they survive forever? | |
| dc.type | Conference paper | |
| pubs.publication-status | Published |