On the Simple Stochastic Epidemic,

Abstract

In the mathematical model for the simple epidemic, it is assumed that the population at time t consists of X(t) infectives and N-X(t) susceptibles, and the X(t) is a pure birth process with transition probabilities. There is quite an extensive literature devoted to the analysis of the process X(t). In this paper a valid asymptotic distribution theory for large values of N is developed and a simple efficient estimator of the infection rate lambda is derived. The author concluded with the analysis of a more general model for the simple epidemic in which the population is divided into a number of homogeneous groups. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1971
Accession Number
AD0729035

Entities

People

  • Donald R. Mcneil

Organizations

  • Princeton University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Distribution Theory
  • Estimators
  • Infection
  • Literature
  • Mathematical Models
  • Mathematics
  • Models
  • Probability
  • Transitions
  • Wound Infections

Fields of Study

  • Biology
  • Mathematics

Readers

  • Infectious Disease/Epidemiology
  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms