Stochastic Epidemic Models and Their Statistical Analysis
Authors: Andersson, Hakan, Britton, Tom
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- About this book
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The present lecture notes describe stochastic epidemic models and methods for their statistical analysis. Our aim is to present ideas for such models, and methods for their analysis; along the way we make practical use of several probabilistic and statistical techniques. This will be done without focusing on any specific disease, and instead rigorously analyzing rather simple models. The reader of these lecture notes could thus have a two-fold purpose in mind: to learn about epidemic models and their statistical analysis, and/or to learn and apply techniques in probability and statistics. The lecture notes require an early graduate level knowledge of probability and They introduce several techniques which might be new to students, but our statistics. intention is to present these keeping the technical level at a minlmum. Techniques that are explained and applied in the lecture notes are, for example: coupling, diffusion approximation, random graphs, likelihood theory for counting processes, martingales, the EM-algorithm and MCMC methods. The aim is to introduce and apply these techniques, thus hopefully motivating their further theoretical treatment. A few sections, mainly in Chapter 5, assume some knowledge of weak convergence; we hope that readers not familiar with this theory can understand the these parts at a heuristic level. The text is divided into two distinct but related parts: modelling and estimation.
- Table of contents (12 chapters)
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Introduction
Pages 3-9
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The standard SIR epidemic model
Pages 11-18
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Coupling methods
Pages 19-26
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The threshold limit theorem
Pages 27-37
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Density dependent jump Markov processes
Pages 39-49
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Table of contents (12 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Stochastic Epidemic Models and Their Statistical Analysis
- Authors
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- Hakan Andersson
- Tom Britton
- Series Title
- Lecture Notes in Statistics
- Series Volume
- 151
- Copyright
- 2000
- Publisher
- Springer-Verlag New York
- Copyright Holder
- Springer Science+Business Media New York
- eBook ISBN
- 978-1-4612-1158-7
- DOI
- 10.1007/978-1-4612-1158-7
- Softcover ISBN
- 978-0-387-95050-1
- Series ISSN
- 0930-0325
- Edition Number
- 1
- Number of Pages
- IX, 156
- Topics
