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Lecture Notes in Statistics

Stochastic Epidemic Models and Their Statistical Analysis

Authors: Andersson, Hakan, Britton, Tom

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About this book

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)

  • Introduction

    Andersson, Håkan (et al.)

    Pages 3-9

  • The standard SIR epidemic model

    Andersson, Håkan (et al.)

    Pages 11-18

  • Coupling methods

    Andersson, Håkan (et al.)

    Pages 19-26

  • The threshold limit theorem

    Andersson, Håkan (et al.)

    Pages 27-37

  • Density dependent jump Markov processes

    Andersson, Håkan (et al.)

    Pages 39-49

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-1-4612-1158-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $169.00
price for USA
  • ISBN 978-0-387-95050-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Stochastic Epidemic Models and Their Statistical Analysis
Authors
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