WIAS Preprint No. 1624, (2011)

The many-to-few lemma and multiple spines



Authors

  • Harris, Simon S.
  • Roberts, Matthew I.

2010 Mathematics Subject Classification

  • 60J80

Keywords

  • Branching processes, many-to-one, many-to-few, spine, change of measure

Abstract

We develop an extension to the spine theory of branching processes, and use it to give a simple and intuitive identity for calculating additive functionals of such processes, generalizing the well-known many-to-one lemma.

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