Approximation of population processes /

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Bibliographic Details
Author / Creator:Kurtz, Thomas G.
Imprint:Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1981.
Description:1 online resource (75 pages)
Series:CBMS-NSF regional conference series in applied mathematics ; 36
CBMS-NSF regional conference series in applied mathematics ; 36.
Subject:Markov processes.
Branching processes.
Limit theorems (Probability theory)
Branching processes.
Limit theorems (Probability theory)
Markov processes.
Electronic books.
Format: E-Resource Book
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Other authors / contributors:Society for Industrial and Applied Mathematics.
Notes:Title from title screen, viewed 04/05/2011.
Includes bibliographical references (pages 73-75).
Restricted to subscribers or individual electronic text purchasers.
Also available in print version.
Summary:Population processes are stochastic models for systems involving a number of similar particles. Examples include models for chemical reactions and for epidemics. The model may involve a finite number of attributes, or even a continuum. This monograph considers approximations that are possible when the number of particles is large. The models considered will involve a finite number of different types of particles.
Other form:Print version: 089871169X 9780898711691
Table of Contents:
  • Weak convergence
  • Markov Processes and their generators
  • Convergence to Markov processes
  • Diffusion approximations
  • Branching Markov processes
  • Markov processes as random time changes
  • Approximations of density dependent jump Markov processes
  • Epidemic models
  • Random replication with errors.