Coupling and the non-degeneracy of the limit in some plasmid reproduction models

Theoretical Population Biology

Volumn 52, Issue 1, 1997, Pages 27-31

  Hoppe, Fred M ^a  

^a MCMASTER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030804376     PISSN: 00405809     EISSN: None     Source Type: Journal    
DOI: 10.1006/tpbi.1997.1308     Document Type: Article

References (10)

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2. Hering H. Supercritical Markov branching processes with general set of types. Z. Wahrsch. Verw. Geb. 26:1974;1-16.
3. Hering H. The non-degenerate limit for supercritical branching diffusions. Duke Math. Jour. 45:1978;561-600.
4. F. M. Hoppe, 1996, Rates of growth of infinite type branching processes.
5. Moy S. T. C. Extension of a limit theorem of Everett, Ulam, and Harris multitype branching processes to a branching process with countably many types. Ann. Math. Statist. 38:1967;992-999.
6. Mullikin T. W. Limiting distributions for critical multitype branching processes with discrete time. Trans. Amer. Math. Soc. 106:1963;469-494.
7. Seneta E. On recent theorems concerning the supercritical Galton-Watson process. Ann. Math. Statist. 39:1968;2098-2102.
8. Seneta E. Non-negative Matrices and Markov Chains. 1981;Springer-Verlag, New York.
9. Seneta E., Tavaré S. Some stochastic models for plasmid copy number. Theor. Popul. Biol. 23:1983;241-256.
10. Vere-Jones D. Geometric ergodicity in denumerable Markov chains. Quart. J. Math., Oxford Ser. 13:1962;7-28.