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Recent investigations involving stochastic population models

Published online by Cambridge University Press:  01 July 2016

M. S. Bartlett*
Affiliation:
Emeritus Professor of Biomathematics, University of Oxford

Extract

After some introductory general remarks on recent investigations involving population models, two broad classes of stochastic model are discussed, further, viz., spatial nearest-neighbour lattice models, and doubly stochastic models.

Type
Applied Probability in Biology and Engineering. An ORSA/TIMS Special Interest Meeting
Copyright
Copyright © Applied Probability Trust 1984 

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References

Anderson, R. M., (Ed.) (1982) The Population Dynamics of Infectious Diseases. Chapman and Hall, London.Google Scholar
Anderson, R. M. and May, R. M. (1983) Vaccination against rubella and measles: quantitative investigation of different policies. J. Hygiene, Camb. 90, 167.Google Scholar
Bartlett, M. S. (1978) Nearest neighbour models in the analysis of field experiments. J. R. Statist. Soc. B 40, 160174.Google Scholar
Bartlett, M. S. (1981a) A further note on the use of neighbouring plot values in the analysis of field experiments. J. R. Statist. Soc. B 43, 100102.Google Scholar
Bartlett, M. S. (1981b) Population and community structure and interaction. In The Mathematical Theory of the Dynamics of Biological Populations II, ed. Hiorns, R. W. and Cook, P.. Academic Press, London.Google Scholar
Bartlett, M. S. (1982) Some stochastic models in biology. Utilitas Math. 21A, 291309.Google Scholar
Bartlett, M. S. (1983) On doubly-stochastic population processes. In Probability, Statistics and Analysis, ed. Kingman, J. F. C. and Reuter, G. E. H.. Cambridge University Press.Google Scholar
Wilkinson, G. N., Eckert, S. R., Hancock, T. W. and Mayo, O. (1983) Nearest-neighbour (NN) analysis of field experiments. J. R. Statist. Soc. B 45, 151211.Google Scholar
Wilkinson, G. N. and Mayo, O. (1982) Control of variability in field trials: an essay on the controversy between ‘Student’ and Fisher, and a resolution of it. Utilitas Math. 21B, 169188.Google Scholar