Population Size Dependent Generalized Multitype Branching Processes

REFERENCES

• Chung , K.L. 1967 . Markov Chains with Stationary Transition Probabilities . New York : Springer-Verlag .
   Google Scholar
• González , M. , P. Martínez , and M. Mota . 2004 . Multi-type population size dependent branching process with dependent offspring . Statist. Probab. Lett. 70 : 145 – 154 . [CSA]
   Web of Science ®Google Scholar
• González , M. , M. Molina , and I. Del Puerto . 2002 . On the class of controlled branching processes with random control functions . J. Appl. Prob. 39 : 804 – 815 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• González , M. , M. Molina , and I. Del Puerto . 2003 . On the geometric growth in controlled branching processes with random control function . J. Appl. Prob. 40 : 995 – 1006 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• González , M. , M. Molina , and I. Del Puerto . 2004a . Limiting distribution for subcritical controlled branching processes with random control function . Statist. Probab. Lett. 67 : 277 – 284 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• González , M. , M. Molina , and I. Del Puerto . 2004b . On L 2-convergence of controlled branching processes with random control function . Bernoulli 11 ( 1 ): 37 – 46 . [CSA]
   Web of Science ®Google Scholar
• Klebaner , F. 1989 . Geometric growth in near-critical population size dependent multitype Galton-Watson processes . Ann. Prob. 17 : 1466 – 1477 . [CSA]
   Web of Science ®Google Scholar
• Klebaner , F. 1989 . Linear growth in near-critical population-size-dependent multitype Galton-Watson processes . J. Appl. Prob. 26 : 431 – 445 . [CSA]
   Web of Science ®Google Scholar
• Mode , C. 1971 . Multitype Branching Processes . New York : Elsevier .
   Google Scholar
• Nagaev , S.V. and L. Han . 1980 . Limit theorems for critical Galton-Watson branching process with migration . Theor. Prob. Appl. 25 : 514 – 525 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Pakes , A.G. 1986 . Some properties of a branching process with a group immigration and emigration . Adv. Appl. Prob. 18 : 628 – 645 . [CSA]
   Web of Science ®Google Scholar
• R Development Core Team . 2004 . R: A Language and Environment for Statistical Computing . Vienna , Austria : R Foundation for Statistical Computing , ISBN 3-900051-00-3 .
   Google Scholar
• Seneta , E. 1981. Non-Negative Matrices and Markov Chains . New York : Springer-Verlag.
   Google Scholar
• Sevast'yanov , B.A. , and A. Zubkov . 1974 . Controlled branching processes . Theor. Prob. Appl. 19 : 14 – 24 . [CSA] [CROSSREF]
   Google Scholar
• Yanev , G.P. and N.M. Yanev . 1995 . Critical branching processes with random migration . In Branching Processes , ed. C.C. Heyde , LNS 99 , 36 – 46 . New York : Springer .
   Google Scholar
• Yanev , G.P. , and N.M. Yanev . 1996 . Branching processes with two types emigration and state dependent immigration . In Athens Conference on Applied Probability and Time Series , ed. C.C. Heyde , Y.V. Prohorov , R. Pyke , and N.M. Rachev , Vol. I , Applied Probability, LNS 114 , 216 – 228 . New York : Springer .
   Google Scholar
• Yanev , G.P. , and N.M. Yanev . 2004 . A critical branching process with stationary-limiting distribution . Stochastic Anal. Appl. 22 : 721 – 738 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Yanev , N. 1975 . Conditions for degeneracy of Φ-branching processes with random Φ . Theor. Prob. Appl. 20 : 421 – 428 . [CSA] [CROSSREF]
   Google Scholar