Near-constancy phenomena in branching processes,

Near-constancy phenomena in branching processes,

by J.D.Biggins and N.H.Bingham

Math. Proc. Camb. Phil. Soc. (1991), 110, 545-558.

Abstract

The occurrence of certain `near-constancy phenomena' in some aspects of the theory of (simple) branching processes forms the background for the work below. The problem arises out of work by Karlin and McGregor (1968a,b). A detailed study of the theoretical and numerical aspects of the Karlin-McGregor near-constancy phenomenon was given by Dubuc (1982), and considered further by Bingham (1988). We give a new approach which simplifies and generalises the results of these authors. The primary motivation for doing this was the recent work of Barlow and Perkins (1988), who observed near-constancy in a framework not immediately covered by the results then known.

Availability

postscript file

dvi file


See also the closely related paper
Other publications by J.D. Biggins

Return to my home page