Inference for the extended bifurcating autoregressive model for cell lineage studies

Australian and New Zealand Journal of Statistics

Volumn 42, Issue 4, 2000, Pages 423-432

  Huggins, R M ^a   Basawa, I V ^a,b  

^a LA TROBE UNIVERSITY   (Australia)

^b UNIVERSITY OF GEORGIA   (United States)

Author keywords

Bifurcating ARMA models; Cell lineage studies; Maximum likelihood

Indexed keywords

EID: 0034367513     PISSN: 13691473     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-842X.00139     Document Type: Article

References (14)

1. BROCKWELL, P.J. & DAVIS, R.A. (1987). Time Series: Theory and Methods. New York: Springer-Verlag.
2. COWAN, R. (1984). Statistical concepts in the analysis of cell lineage data. In Proceedings of the 1983 Workshop on Cell Growth and Division, pp. 18-22. La Trobe University, Victoria.
3. COWAN, R. & STAUDTE, R.G. (1986). The bifurcating autoregression model in cell lineage studies. Biometrics 42, 769-783.
4. FOUTZ, R.V. (1977). On the unique consistent solution to the likelihood equations. J. Amer. Statist. Assoc. 72, 147-148.
5. HUGGINS, R.M. (1995). A law of large numbers for the bifurcating autoregressive process. Stochastic Models 11, 273-278.
6. HUGGINS, R.M. (1996). Robust inference for variance components models for single trees of cell lineage data. Ann. Stat. 24, 1145-1160.
7. HUGGINS, R.M. & BASAWA, I.V. (1999). Extensions of the bifurcating autoregressive model for cell lineage studies. J. Appl. Probab. (to appear).
8. HUGGINS, R.M. & STAUDTE, R.G. ( 1994). Variance components models for dependent cell populations. J. Amer. Statist. Assoc. 89, 19-29.
9. POWELL, E.O. (1955). Some features of the generation times of individual bacteria. Biometrika 42, 16-44.
10. POWELL, E.O. (1956). An improved culture chamber for the study of living bacteria J. R. Micr. Soc. 75, 235.
11. POWELL, E.O. (1958). An outline of the pattern of bacterial generation times. J. Gen. Microbiol. 18, 382-417.
12. POWELL, E.O. & ERRINGTON, F.P. (1963). Generation times of individual bacteria: some corroborative measurements. J. Gen. Microbiol. 31, 315-327.
13. STAUDTE, R.G., ZHANG, J., HUGGINS, R.M. & COWAN, R. (1996). A reexamination of the cell lineage data of E.O. Powell. Biometrics 52, 1214-1222.
14. STRICHARTZ, R.S. (1995). The Way of Analysis. Boston: Jones and Bartlett Publishers.