On the Normal Convergence of a Class of Simple Batch Epidemics.
Abstract
A group of n susceptible individuals exposed to a contagious disease is considered. It is assumed that at each instant in time one or more susceptible individuals can contract the disease. The progress of this epidemic is modeled by a stochastic process X sub n (t), t in (0, infinity) representing the number of infective individuals at time t. It is shown that X sub n (t), with the suitable standardization and under a mild condition, converges in distribution as n approaches infinity to a normal random variable for all t in (0, t sub 0), where t sub 0 is an identifiable number. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1979
- Accession Number
- ADA080887
Entities
People
- Naftali A. Langberg
Organizations
- Florida State University