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Approximation of Population Processes

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by Thomas G. Kurtz


1981 / viii + 75 pages / Softcover / ISBN: 978-0-898711-69-1 / List Price $50.50 / SIAM/CBMS Member Price $35.35 / Order Code CB36

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.

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.

ISBN: 9780898711691 

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