Nonparametric estimation of the offspring distribution and the mean for a controlled branching process

Test

Volumn 13, Issue 2, 2004, Pages 465-479

  González, Miguel ^a   Martínez, Rodrigo ^a   Puerto, Inés Del ^a  

^a UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

Branching processes; Maximum likelihood estimators; Method of moments estimators; Symptotic behaviour

Indexed keywords

EID: 13444291500     PISSN: 11330686     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02595782     Document Type: Article

References (9)

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2. DION, J. P. (1974). Estimation of the mean and the initial probabilities of a branching process. Journal of Applied Probability, 11:687-694.
3. DION, J. P. and ESSEBBAR, B. (1995). On the statistics of controlled branching processes. Lecture Notes in Statistics, 99:14-21.
4. GONZÁLEZ, 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.
5. GUTTORP, P. (1991). Statistical Inference for Branching Processes. John Wiley and Sons, Inc., New York.
6. MOLINA, M., GONZÁLEZ, M., and MOTA, M. (1998). Some theoretical results about superadditive controlled Galton-Watson branching processes. In Proceedings of Prague Stochastic '98. Ed. M. Huskova, P. Lachout and J.A. Visek, Union of Czech Mathematicians and Physicist, vol. 1, pp. 413-418.
7. SEVAST'YANOV, B. A. and ZUBKOV, A. (1974). Controlled branching processes. Theory of Probability and its Applications, 19:14-24.
8. YANEV, N. M. (1976). Conditions for degeneracy of θ-branching processes with random θ. Theory of Probability and its Applications, 20:421-428.
9. ZUBKOV, A. M. (1974). Analogies between Galton-Watson processes and θ-branching processes. Theory of Probability and its Applications, 19:309-331.