The prolific backbone for supercritical superprocesses

We develop an idea of Evans and O'Connell (1994) [13], Engländer and Pinsky (1999) [10] and Duquesne and Winkel (2007) [4] by giving a pathwise construction of the so-called 'backbone' decomposition for supercritical superprocesses. Our results also complement a related result for critical (1+[beta])-superprocesses given in Etheridge and Williams (2003) [11]. Our approach relies heavily on the use of Dynkin-Kuznetsov -measures.

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Year of publication:	2011
Authors:	Berestycki, J. ; Kyprianou, A.E. ; Murillo-Salas, A.
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 121.2011, 6, p. 1315-1331
Publisher:	Elsevier
Keywords:	Superprocesses -measure Backbone Conditioning on extinction Prolific individuals

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10009023945