Robust inference for variance components models for single trees of cell lineage data

Annals of Statistics

Volumn 24, Issue 3, 1996, Pages 1145-1160

  Huggins, R M ^a  

^a LA TROBE UNIVERSITY   (Australia)

Author keywords

Asymptotic inference; Cell lineage data; Robust estimation; Variance components

Indexed keywords

EID: 0030509269     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1032526961     Document Type: Article

References (25)

1. AITCHISON, J. and SILVEY, S. D. (1958). Maximum likelihood estimation of parameters subject to restraints. Ann. Math. Statist. 29 813-828.
2. COWAN, R. and STAUDTE, R. G. (1986). The bifurcating autoregression model in cell lineage studies. Biometrics 42 769-783.
3. CROWDER, M. J. (1976). Maximum likelihood estimation for dependent observations. J. Roy. Statist. Soc. Ser. B 38 45-53.
4. CROWDER, M. J. (1986). On consistency and inconsistency of estimating equations. Econometric Theory 2 305-330.
5. HUGGINS, R. M. (1993a). On the robust analysis of variance components models for pedigree data. Austral. J. Statist. 35 43-57.
6. HUGGINS, R. M. (1993b). A robust approach to the analysis of repeated measures. Biometrics 49 715-720.
7. HUGGINS R. M. (1995). A law of large numbers for the bifurcating autoregressive process. Comm. Statist. Stochastic Models 11 273-278.
8. HUGGINS, R. M. (1996). On the identifiability of measurement error in the bifurcating autoregressive model. Statist. Probab. Lett. 27 17-23.
9. HUGGINS, R. M. and MARSCHNER, I. C. (1991). Robust analysis of the bifurcating autoregressive model in cell lineage studies. Austral. J. Statist. 33 209-220.
10. HUGGINS, R. M. and STAUDTE, R. G. (1994). Variance components models for dependent cell populations. J. Amer. Statist. Assoc. 89 19-29.
11. KELKER, D. (1970). Distribution theory of spherical distributions and a location-scale parameter generalisation. Sankhyā Ser. A 32 419-430.
12. KINGMAN, J. F. C. (1972). On random sequences with spherical symmetry. Biometrika 59 492-493.
13. KLIMKO, L A. and NELSON, P. I. (1978). On conditional least squares estimation for stochastic processes. Ann. Statist. 6 629-642.
14. MARSCHNER, I. C. (1991). Robust estimation for epidemic models. Austral. J. Statist. 33 221-240.
15. MILLER, J. J. (1977). Asymptotic properties of maximum likelihood estimates in the mixed model of the analysis of variance. Ann. Statist. 5 746-762.
16. POWELL, E. O. (1955). Some features of the generation times of individual bacteria. Biometrika 42 16-44.
17. POWELL, E. O. (1956). An improved culture chamber for the study of living bacteria. Journal of the Royal Microscopical Society 75 235.
18. POWELL, E. O. (1958). An outline of the pattern of bacterial generation times. Journal of General Microbiology 18 382-417.
19. POWELL, E. O. and ERRINGTON, F. P. (1963). Generation times of individual bacteria: some corroborative measurements. Journal of General Microbiology 31 315-327.
20. SHIRYAYEV, A. N. (1984). Probability. Springer, New York.
21. STAUDTE, R. G., GUIGET, M. and COLLYN D'HOOGE, M. (1984). Additive models for dependent cell populations. Journal of Theoretical Biology 109 127-146.
22. STEWART, G. W. (1973). Introduction to Matrix Computations. Academic Press, New York.
23. TAYLOR, R. L., DAFFER, P. Z. and PATTERSON, R. F. (1985). Limit Theorems for Sums of Exchangeable Random Variables. Rowman and Allanheld, Totowa, NJ.
24. WEISS, L. (1973). Asymptotic properties of maximum likelihood estimators in some non-standard cases. II. J. Amer. Statist. Assoc. 68 428-430.
25. WEISS, L. (1975). The asymptotic distribution of the likelihood ratio in some non-standard cases. J. Amer. Statist. Assoc. 70 204-208.