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Structural models in epidemiology: an introductory investigation

Published online by Cambridge University Press:  01 July 2016

Petre Tautu*
Affiliation:
Centre of Mathematical Statistics, Bucharest

Extract

The purpose of this paper is to bring to the attention of epidemiologists the possibility of setting up and utilizing structural models, more precisely, mathematical models based on graph theory. We shall present the first general results in this investigation using some statements and definitions.

Type
I. Mathematical Approach to Epidemiology
Copyright
Copyright © Applied Probability Trust 1971 

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References

Selected references

Barton, D. E., David, F. N., Fix, E. and Merrington, M. (1967) Tests for space-time interaction and a power function. Proc. 5th Berkeley Symp. Math. Statist. Prob. Vol. IV, 217227. Univ. California Press, Berekley.Google Scholar
Capobianco, M. F. (1970) Statistical inference in finite populations having structure. Trans. N. Y. Acad. Sci. 32, 401413.CrossRefGoogle Scholar
Flament, C. (1963) Applications of Graph Theory to Group Structure. Prentice-Hall, Englewood Cliffs.Google Scholar
Hammersley, J. M. and Welsh, D. J. A. (1965) First-passage percolation, subadditive processes, stochastic networks and generalized renewal theory. In: Bernoulli, Bayes, Laplace. Ed. by Neyman, J. and LeCam, L. M., 61110. Springer-Verlag, Heidelberg.Google Scholar
Harary, F., Norman, R. Z. and Cartwright, D. (1965) Structural models. An Introduction to the Theory of Directed Graphs. Wiley, New York.Google Scholar
Pike, M. C. and Smith, P. G. (1968) Disease clustering: A generalization of Knox's approach to the detection of space-time interactions. Biometrics 24, 541556.CrossRefGoogle Scholar