The general coalescent with asynchronous mergers of ancestral lines

Journal of Applied Probability

Volumn 36, Issue 4, 1999, Pages 1116-1125

  Sagitov, Serik ^a  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

Coalescent; De Finetti's theorem; Infinitely divisible distribution; Reduced branching process

Indexed keywords

EID: 0033233843     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0021900200017903     Document Type: Article

References (9)

1. FELLER, W. (1966). An Introduction to Probability Theory and its Applications, Vol 2. John Wiley, New York.
2. FLEISCHMANN, K. AND SIEGMUND-SHULTZE, R. (1977). The structure of reduced Galton-Watson processes. Math. Nachr. 79, 233-241.
3. KINGMAN, J. F. C. (1982a). On the genealogy of large populations. In Essays in Statistical Science, eds. J. Gani and E. J. Hannan (J. Appl. Prob. 19A), Applied Probability Trust, Sheffield, pp. 27-43.
4. KINGMAN, J. F. C. (1982b). Exchangeability and the evolution of large populations. In Exchangeability in Probability and Statistics, eds. G. Koch and F. Spizzichino, North-Holland, Amsterdam, pp. 97-112.
5. KINGMAN, J. F. C. (1982c). The coalescent. Stock. Proc. Appl. 13, 235-248.
6. MÖHLE, M. (1998). Robustness results for the coalescent. J. Appl. Prob. 35, 438-447.
7. SLACK, R. S. (1968). A branching process with mean one and possibly infinite variance. Z. Wahrscheinlichkeitsth. 9, 139-145.
8. YAKYMIV, A. L. (1980). Reduced branching processes. Theor. Prob. Appl. 25, 584-588.
9. ZOLOTAREV, V. M. (1957). More exact statements of several theorems in the theory of branching processes. Teor. Veroyatnost. i Primemen. 2, 256-266. (In Russian.)