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1996 | OriginalPaper | Chapter

Multi-Type Age-Dependent Branching Processes with State-Dependent Immigration

Author : Maroussia N. Slavtchova-Bojkova

Published in: Athens Conference on Applied Probability and Time Series Analysis

Publisher: Springer New York

Included in: Professional Book Archive

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This work continues the study of the age-dependent branching processes allowing two types of immigration, i.e. one in the state zero and another one according to the i.i.d. times of an independent ergodic renewal process. The multidimensional case is considered and asymptotic properties and limit theorems are established. These results generalise both the results of the discrete theory and those for the one-dimensional continuous-time model.

previous chapter Explicit Rates of Convergence of Stochastically Ordered Markov Chains*
next chapter The non homogeneous semi-Markov system in a stochastic environment
Metadata
Title
Multi-Type Age-Dependent Branching Processes with State-Dependent Immigration
Author
Maroussia N. Slavtchova-Bojkova
Copyright Year
1996
Publisher
Springer New York
Book
Athens Conference on Applied Probability and Time Series Analysis

Print ISBN: 978-0-387-94788-4

Electronic ISBN: 978-1-4612-0749-8

Copyright Year: 1996

DOI
https://doi.org/10.1007/978-1-4612-0749-8_13