Stationary measures for multitype branching processes Journal Articles

abstract

• The multitype Galton-Watson process is considered both with and without immigration. Proofs are given for the existence of invariant measures and their uniqueness is examined by functional equation methods. Theorem 2.1 proves the uniqueness, under certain conditions, of solutions of a multidimensional Schröder equation. Regular variation is shown to play a role in the multitype theory.

authors

• Hoppe, Fred

status

• published 

publication date

• June 1975

has subject area

• 0102 Applied Mathematics (FoR)
• 0104 Statistics (FoR)
• Statistics & Probability (Science Metrix)

published in

• Journal of Applied Probability  Journal

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics
• 4905 Statistics

Digital Object Identifier (DOI)

• 10.2307/3212435

start page

• 219

end page

• 227

volume

• 12

issue

• 2