Estimation of the variance for a controlled branching process

Test

Volumn 14, Issue 1, 2005, Pages 199-213

  Gonzalez, Miguel ^a   Martinez, Rodrigo ^a   Puerto, Inés Del ^a  

^a UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

Asymptotic behaviour; Branching processes; Maximum likelihood estimators; Method of moment estimators

Indexed keywords

EID: 22544483525     PISSN: 11330686     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02595403     Document Type: Article

References (12)

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2. CHOW, Y. S. and TEICHER, H. (1997). Probability Theory: Independence, Interchangeability, Martingales. Springer-Verlag, New York, 3rd ed.
3. DION, J. P. and ESSEBBAR, B. (1995). On the statistics of controlled branching processes. Lecture Notes in Statistics, 99:14-21.
4. GONZALEZ, M., MARTINEZ, R., and DEL PUERTO, I. (2004). Nonparametric estimation of the offspring distribution and the mean for a controlled branching process. Test, 13(2):465-479.
5. GONZALEZ, M., MOLINA, M., and DEL PUERTO, I. (2002). On the class of controlled branching processes with random control functions. Journal of Applied Probability, 39:804-815.
6. GONZÁLEZ, M., MOLINA, M., and DEL PUERTO, I. (2003). On the geometric growth in controlled branching processes with random control function. Journal of Applied Probability, 40:995-1006.
7. GUTTORP, P. (1991). Statistical Inference for Branching Processes. John Wiley and Sons, Inc., New York.
8. HALL, P. and HEYDE, C. C. (1980). Martingale Limit Theory and its Applications. Academic Press Inc., New York.
9. MOLINA, M., GONZÁLEZ, M., and MOTA, M. (1998). Some theoretical results about superadditive controlled Galton-Watson branching processes. In M. Huskova, P. Lachout, and J. A. Visek, eds., Proceedings of Prague Stochastic'98, vol. 1, pp. 413-418. Union of Czech Mathematicians and Physicist.
10. SEVAST'YANOV, B. A. and ZUBKOV, A. M. (1974). Controlled branching processes. Theory of Probability and its Applications, 19:14-24.
11. YANEV, N. M. (1975). Conditions for degeneracy of ø-branching processes with random ø. Theory of Probability and its Applications, 20:421-428.
12. ZUBKOV, A. M. (1974). Analogies between Galton-Watson processes and ø-branching processes. Theory of Probability and its Applications, 19:309-331.