Statistical inference for a multitype epidemic model

Journal of Statistical Planning and Inference

Volumn 71, Issue 1-2, 1998, Pages 229-244

  Yip, Paul S F ^a   Chen, Qizhi ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

60G45; 62F20; 62M99; 62P10; Counting process models; Maximum likelihood estimation; Potential; Relative infection rate; Zero mean martingale (ZMM)

Indexed keywords

EID: 0040685889     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(98)00087-1     Document Type: Article

References (18)

1. Aalen O.O. Non-parametric inference for a family of counting process. Ann. Statist. 6:1978;701-726.
2. Andersen D.A., Watson R.K. On the spread of a disease with gamma distributed latent and infectious periods. Biometrika. 67:1980;191-198.
3. Athreya K.B., Ney P.E. Branching Process. 1972;Springer, Berlin.
4. Bailey N.T.J. The Mathematical Theory of Infectious Disease. 1975;Griffin, London.
5. Bailey N.T.J., Thomas A.S. The estimation of parameters from population data on the general stochastic epidemic. Theor. Pop. Biol. 2:1971;253-270.
6. Ball F.G. The threshold behaviour of epidemic models. J. Appl. Probab. 6:1983;227-241.
7. Ball F.G., Clancy D. The final size and severity of a generalised stochastic multitype epidemic model. Adv. Appl. Probab. 25:1993;721-736.
8. Becker N.G. Estimation for an epidemic model. Biometrics. 32:1976;769-777.
9. Becker N.G. On a general epidemic model. Theor. Pop. Biol. 24:1977;23-36.
10. Becker N.G. Analysis of Infectious Disease Data. 1989;Chapman and Hall, London.
11. Becker N.G., Hopper J.L. Assessing the heterogeneity of disease spread through a community. Amer. J. Epidemiology. 117:1983;362-374.
12. Griffiths D.A. Multivariate birth-and-death process as approximations to epidemic processes. J. Appl. Probab. 10:1973;15-26.
13. Kermack W.O., Mckendrick A.G. A contribution to the mathematical theory of epidemics: 1. Proc. Roy. Soc. A. 115:1972;700-721.
14. Macdonald G. The Epidemiology and Control of Malaria. 1957;Oxford University Press, London.
15. Rao C.R., 1973. Linear Statistical Inference and its Applications, 2nd ed. Wiley, New York.
16. Whittle P. The outcome of a stochastic epidemic - a note on Baily's paper's paper. Biometrika. 42:1955;116-122.
17. Yip P. Estimation for initial relative infection rate for a stochastic epidemic model. Theor. Pop. Biol. 36:1989;202-213.
18. Yip P., Watson R. An inference procedure for conflict models. Stochastic Proc. Appl. 37:1991;161-171.