Jump-type fleming-viot processes

Advances in Applied Probability

Volumn 32, Issue 1, 2000, Pages 140-158

  Hiraba, Seiji ^a  

^a Osaka Prefecture University   (Japan)

Author keywords

Branching particle system; Branching process; Fleming viot process; Martingale problem; convergence in distribution; Measure valued process; Moran particle system

Indexed keywords

EID: 0345752986     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0001867800009812     Document Type: Article

References (7)

1. DAWSON, D. A. (1993). Measure-valued Markov processes. (Lecture Notes in Math. 1541). Springer, Berlin.
2. DONNELLY, P. AND KURTZ, T. G. (1996). A countable representation of the Fleming-Viot measure-valued diffusion. Ann. Prob. 24, 743-760.
3. DONNELLY, P. AND KURTZ, T. G. (1999). Particle representations for measure-valued population models. Ann. Prob. 27, 166-205.
4. ETHIER, S. N. AND KURTZ, T. G. (1986). Markov Processes: Characterization and Convergence. John Wiley, New York.
5. ETHIER, S. N. AND KURTZ, T. G. (1993). Fleming-Viot processes in population genetics. SIAM. J. Control Optim. 31, 345-386.
6. FLEMING, W. H. AND VIOT, M. (1979). Some measure-valued Markov processes in population genetics theory. Indiana Univ. Math. J. 28, 817-843.
7. PERKINS, E. A. (1992). Conditional Dawson-Watanabe processes and Fleming-Viot processes. Seminar on Stochastic Processes 1991, Birkhäuser, Basel, pp. 142-155.