Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-25T06:43:27.392Z Has data issue: false hasContentIssue false
  • English
  • Français

Structural models in epidemiology: an introductory investigation

Published online by Cambridge University Press:  01 July 2016

Petre Tautu
Petre Tautu*
Affiliation:
Centre of Mathematical Statistics, Bucharest
Get access Rights & Permissions [Opens in a new window]

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
Information
Advances in Applied Probability , Volume 3 , Issue 2 , Autumn 1971 , pp. 196 - 198
Copyright
Copyright © Applied Probability Trust 1971 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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, 217–227. Univ. California Press, Berekley.Google Scholar
Capobianco, M. F. (1970) Statistical inference in finite populations having structure. Trans. N. Y. Acad. Sci. 32, 401–413.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., 61–110. 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, 541–556.CrossRefGoogle Scholar