Document Type

Post-Print

Publication Date

11-2009

Abstract

We investigate the x log x condition for a general (Crump–Mode–Jagers) multi-type branching process with arbitrary type space by constructing a size-biased population measure that relates to the ordinary population measure via the intrinsic martingale Wt. Sufficiency of the x log x condition for a non-degenerate limit of Wt is proved and conditions for necessity are investigated.

Document Object Identifier (DOI)

10.3150/09-BEJ211

Publication Information

Bernoulli

Included in

Mathematics Commons

Share

COinS