Point Processes in Epidemiology

Abstract

The paper consists of six sections. The first is devoted to chain binomial methods and their use in the statistical analysis of measles and hepatitis data. A second considers time dependent results for carrier-borne epidemics, and the use of matrix methods in computing probabilities of their final size. The third surveys the application of perturbation techniques to the general stochastic epidemic, and the estimation of infection and removal parameters in this model on the basis of smallpox data. The fourth section summarizes asymptotic results for the general stochastic epidemic when the initial populations of susceptibles and infectives are both very large. In the fifth, some recent results are outlined on the costs of epidemics; these depend on the stochastic path integral under the infective curve. Finally, a brief account is given of the analysis of space-time interactions in epidemic processes.

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Document Details

Document Type
Technical Report
Publication Date
May 15, 1973
Accession Number
AD0763674

Entities

People

  • J. Gani

Organizations

  • Stanford University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • California
  • Data Science
  • Difference Equations
  • Differential Equations
  • Diseases And Disorders
  • Epidemiology
  • Equations
  • Information Science
  • Markov Chains
  • Military Research
  • Partial Differential Equations
  • Probability
  • Random Variables
  • Statistical Analysis
  • Statistics
  • United States
  • Universities

Fields of Study

  • Biology
  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation
  • Infectious Disease/Epidemiology

Technology Areas

  • Space