Non-gaussian bifurcating models and quasi-likelihood estimation

Journal of Applied Probability

Volumn 41A, Issue , 2004, Pages 55-64

  Basawa, I V ^a   Zhou, J ^a  

^a UNIVERSITY OF GEORGIA   (United States)

Author keywords

Bifurcating autoregressive models; Markovian models; Maximum likelihood; Quasi likelihood estimation; Tree indexed data

Indexed keywords

EID: 27644502604     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1082552190     Document Type: Article

References (15)

1. Basawa, I. V. and Prakasa Rao, B. L. S. (1980). Statistical Inference for Stochastic Processes. Academic Press, London.
2. Billingsley, P. (1961). Statistical Inference for Markov Processes. Chicago University Press.
3. Cowan, R. (1984). Statistical concepts in the analysis of cell lineage data. In Proc. 1983 Workshop Cell Growth Division, Latrobe University, Melbourne, pp. 18-22.
4. Cowan, R. and Staudte, R. G. (1986). The bifurcating autoregression model in cell lineage studies. Biometrics 42, 769-783.
5. Godambe, V. P. (1985). The foundations of finite sample estimation for stochastic processes. Biometrika 72,419-428.
6. Grunwald, G. K., Hyndman, R. J., Tedesco, L. and Tweedie, R. L. (2000). Non-GaussianconditionalAR(1) models. Austral. N. Z. J. Statist. 42, 479-495.
7. Hall, P. and Heyde, C. C. (1980). Martingale Limit Theory and Its Applications. Academic Press, New York.
8. Heyde, C. C. (1997). Quasi-likelihood and Its Applications. Springer, NewYork.
9. Huggins, R. M. and Basawa, I. V. (1999). Extensions of the bifurcating autoregressive model for cell lineage studies. J. Appl. Prob. 36, 1225-1233.
10. Huggins, R. M. and Basawa, I. V. (2000). Inference for the extended bifurcating autoregressive model for cell lineage studies. Austral. N. Z. J. Statist. 42, 423-432.
11. Johnson, N. L., Kotz, S. and Balakrishnan, N. (1997). DiscreteMultivariateDistributions. John Wiley, NewYork.
12. Klimko, L. A. and Nelson, P. I. (1978). On conditional least squares estimation for stochastic processes. Ann. Statist. 6, 629-642.
13. Kotz, S., Balakrishnan, N. and Johnson, N. L. (2000). Continuous Multivariate Distributions, Vol. 1, Models and Applications, 2nd edn. John Wiley, New York.
14. Mardia, K. V. (1970). Families of Bivariate Distributions. Griffin, London.
15. Powell, E. O. (1955). Some features of the generation times of individual bacteria. Biometrika 42, 16-44.