Limit properties of subcritical CMJ processes about the coming generation
In: SCIENTIA SINICA Mathematica, Jg. 45 (2015-03-01), S. 301-310
Online
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Zugriff:
In this paper, we consider the subcritical branching processes with overlapping generations in continuous time, which is sometimes referred to as subcritical CMJ processes in continuous time. CMJ processes depict populations of individuals who can produce offsprings at different ages, and the time interval of the next two reproductions is no longer of exponential type. We mainly study the count of "the coming generation" at time t , which is called { H t }. The coming generation is the "potential population" that are sure to be born at sometime in the future. With the help of renewal theorem, we obtain some conditional limit theorems for { H t }.
Titel: |
Limit properties of subcritical CMJ processes about the coming generation
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Autor/in / Beteiligte Person: | HongSong, Guo ; Mei, Zhang |
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Zeitschrift: | SCIENTIA SINICA Mathematica, Jg. 45 (2015-03-01), S. 301-310 |
Veröffentlichung: | Science China Press., Co. Ltd., 2015 |
Medientyp: | unknown |
ISSN: | 1674-7216 (print) |
DOI: | 10.1360/012015-12 |
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