Limit theorems for normalized nearly critical branching processes with immigration

• Autores: Márton Ispány
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 72, Fasc. 1-2, 2008, págs. 17-34
• Idioma: inglés
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• Resumen

  • Functional limit theorems are proved for a sequence of Galton{Watson processes with immigration, where the o®spring mean tends to its critical value 1 under weak conditions for the variances of o®spring and immigration processes. In the limit the- orems the norming factors depend on these variances.