Asymptotic Properties of the Markov Branching Process with Immigration

Junping Li (), Anyue Chen () and Anthony G. Pakes ()
Additional contact information
Junping Li: Central South University
Anyue Chen: The University of Liverpool
Anthony G. Pakes: The University of Western Australia

Journal of Theoretical Probability, 2012, vol. 25, issue 1, 122-143

Abstract: Abstract We consider the Markov branching process with immigration allowing the possibility of infinite numbers of offspring and/or immigrants. Our focus is on the construction and uniqueness of the minimal transition function and on its asymptotic behavior. Conditional limit theorems for the population size are given in cases for which the transition function is dishonest.

Keywords: Markov branching process; Immigration; Nonconservative q-matrix; Construction and uniqueness; Decay parameter; λ-invariant measure and function; Conditional limit theorem; 60J27; 60J80; 60J35; 60F99 (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10959-010-0301-z

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