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- W3217373558 abstract "Abstract Under a fourth-order moment condition on the branching and a second-order moment condition on the immigration mechanisms, we show that an appropriately scaled projection of a supercritical and irreducible continuous-state and continuous-time branching process with immigration on certain left non-Perron eigenvectors of the branching mean matrix is asymptotically mixed normal. With an appropriate random scaling, under some conditional probability measure, we prove asymptotic normality as well. In the case of a non-trivial process, under a first-order moment condition on the immigration mechanism, we also prove the convergence of the relative frequencies of distinct types of individuals on a suitable event; for instance, if the immigration mechanism does not vanish, then this convergence holds almost surely." @default.
- W3217373558 created "2021-12-06" @default.
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- W3217373558 date "2021-11-22" @default.
- W3217373558 modified "2023-10-18" @default.
- W3217373558 title "Asymptotic behavior of projections of supercritical multi-type continuous-state and continuous-time branching processes with immigration" @default.
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- W3217373558 doi "https://doi.org/10.1017/apr.2021.7" @default.
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