Erwan Pin
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View article: Convergence in $$L^p$$ for a Supercritical Multi-type Branching Process in a Random Environment
Convergence in $$L^p$$ for a Supercritical Multi-type Branching Process in a Random Environment Open
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View article: Limit theorem for a multi-type branching process in a random environment
Limit theorem for a multi-type branching process in a random environment Open
Beaucoup d'études sont faites actuellement sur les processus de branchements, du fait d'un très large domaine d'applications comme en biologie, physique nucléaire ou dynamique de population. De nombreux théorèmes limites sont bien connus p…
View article: Cramér type moderate deviation expansion for a supercritical multi-type branching process in a random environment
Cramér type moderate deviation expansion for a supercritical multi-type branching process in a random environment Open
Let $Z_n^i=(Z_n^i(1), \cdots, Z_n^i(d)),\,n\geq 0,$ be a supercritical $d$-type branching process in an independent and identically distributed random environment $\xi =(\xi_0, \xi_1, \cdots)$, starting with one initial particle of type $i…
View article: Berry-Esseen's bound and harmonic moments for supercritical multi-type branching processes in random environments
Berry-Esseen's bound and harmonic moments for supercritical multi-type branching processes in random environments Open
Consider a supercritical multi-type branching process in an independent and identically distributed random environment. We establish a Berry-Esseen type bound for the rate of convergence in the central limit theorem on the population size …