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Random contact processes, snowball sampling and factorial series distributions

Published online by Cambridge University Press:  14 July 2016

Sven Berg
Sven Berg*
Affiliation:
University of Lund
*
∗ Postal address: Department of Statistics, University of Lund, Box 7008, S-220 07 Lund, Sweden.
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Abstract

A contact process first posed as a random mapping problem is discussed together with a model for the spread of a rumour through an archaic telephone system. Snowball sampling and the well-known Reed–Frost chain binomial model are also commented on. Our main interest and emphasis is on distributional properties of discrete-time models. Simple combinatorial arguments are used along with a class of discrete distributions originally proposed for catch–recapture sampling.

Keywords

RANDOM MAPPINGSSPREAD OF RUMOURSCHAIN BINOMIAL MODELSSEQUENTIAL CATCH–RECAPTURESNOWBALL SAMPLINGEPIDEMIC CURVESIZE OF EPIDEMICSTIRLING NUMBERS OF THE SECOND KINDFACTORIAL SERIES DISTRIBUTIONS
Type
Research Papers
Information
Journal of Applied Probability , Volume 20 , Issue 1 , March 1983 , pp. 31 - 46
Copyright
Copyright © Applied Probability Trust 1983 

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