Family trees of continuous-time birth-and-death processes

Journal of Applied Probability

Volumn 40, Issue 4, 2003, Pages 980-994

  Müller, Johannes ^a   Möhle, Martin ^b  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

Birth and death process; Family tree; Stochastic graph

Indexed keywords

EID: 0442307355     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1067436095     Document Type: Article

References (9)

1. ABRAMOWITZ, M. AND STEGUN, I. A. (eds) (1965). Handbook of Mathematical Functions. Dover, New York.
2. ATHREYA, K. B. AND NEY, P. E. (1972). Branching Processes. Springer, New York.
3. FELLER, W. (1939). Die Grundlagen der Volterraschen Theorie des Kampfes ums Dasein in wahrscheinlichkeits-theoretischer Behandlung. Acta Biometrika 5, 11-40.
4. GOEL, N. S. AND RICHTER-DYN, N. (1974). Stochastic Models in Biology. Academic Press, New York.
5. HARRIS, T. E. (1963). The Theory of Branching Processes. Springer, Berlin.
6. JAGERS, P. (1975). Branching Processes with Biological Applications. John Wiley, London.
7. KENDALL, D. G. (1949). Stochastic processes and population growth. J. R. Statist. Soc. B 11, 230-264.
8. MÜLLER, J., KRETZSCHMAR, M. AND DIETZ, K. (2000). Contact tracing in deterministic and stochastic models. Math. Biosci. 164, 39-64.
9. SMALL, P. M. et al. (1994). The epidemiology of tuberculosis in San Francisco. New England J. Med. 330, 1703-1709.