Likelihood and quasi - likelihood estimation of transition probabilities
Ewa Bakinowska ; Radosław Kala
Discussiones Mathematicae Probability and Statistics, Tome 24 (2004), p. 77-84 / Harvested from The Polish Digital Mathematics Library

In the paper two approaches to the problem of estimation of transition probabilities are considered. The approach by McCullagh and Nelder [5], based on the independent model and the quasi-likelihood function, is compared with the approach based on the marginal model and the standard likelihood function. The estimates following from these two approaches are illustrated on a simple example which was used by McCullagh and Nelder.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:287621
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1047,
     author = {Ewa Bakinowska and Rados\l aw Kala},
     title = {Likelihood and quasi - likelihood estimation of transition probabilities},
     journal = {Discussiones Mathematicae Probability and Statistics},
     volume = {24},
     year = {2004},
     pages = {77-84},
     zbl = {1053.62025},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1047}
}
Ewa Bakinowska; Radosław Kala. Likelihood and quasi - likelihood estimation of transition probabilities. Discussiones Mathematicae Probability and Statistics, Tome 24 (2004) pp. 77-84. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1047/

[000] [1] D.L. Hawkins and C.-P. Han, Estimating Transition Probabilities from Aggregate Samples Plus Partial Transition Data, Biometrics 56 (2000), 848-854. | Zbl 1060.62621

[001] [2] J.D. Kalbfleisch, J.F. Lawless and W.M. Vollomer, Estimation in Markov Models from Aggregate Data, Biometrics 39 (1983), 907-919. | Zbl 0553.62073

[002] [3] T.C. Lee, G.G. Judge and A. Zellender, Estimating the Parameters of the Markov Probability Model from Aggregate Time Series Data, New York, North Holland 1977.

[003] [4] P. McCullagh and J.A. Nelder, Generalized Linear Models, Chapman and Hall, London 1983. | Zbl 0588.62104

[004] [5] P. McCullagh and J.A. Nelder, Generalized Linear Models, 2nd. ed. Chapman and Hall, London 1989. | Zbl 0744.62098

[005] [6] R.W.M. Wedderburn, Quasi-likelihood Functions, Generalized Linear Models, and the Gauss-Newton method, Biometrika Wedderburn, 61 (1974), 439-447. | Zbl 0292.62050