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Multiplicative ergodicity of laplace transforms for additive functional of markov chains with application to age-dependent branching process
| Content Provider | Semantic Scholar |
|---|---|
| Author | Hervé, Löıc Louhichi, Sana Pêne, Françoise |
| Copyright Year | 2017 |
| Abstract | We study the exponential growth of bifurcating processes with ancestral dependence. We suppose here that the lifetimes of the cells are dependent random variables, that the numbers of new cells are random and dependent. Lifetimes and new cells’s numbers are also assumed to be dependent. We illustrate our results by examples, including some Markov models. Our approach is related to the behaviour of the Laplace transform of nonnegative additive functional of Markov chains and require weak moment assumption (no exponential moment is needed). |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://hal-univ-ubs.archives-ouvertes.fr/hal-01425323/document |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Assumed Ergodicity Markov Chains Markov chain Markov model Object lifetime Utility functions on indivisible goods exponential |
| Content Type | Text |
| Resource Type | Article |
