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Stochastic Epidemic Models and Their Statistical Analysis

By Hakan Andersson

Stochastic Epidemic Models and Their Statistical Analysis Medicine

Stochastic Epidemic Models and Their Statistical Analysis

By Hakan Andersson

0 - Default Title
Description
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.
Product details
Binding:
Paperback
Edition:
1
Number of Pages:
156
Release Date:
2013-10-04
Publication Date:
2000-07-19
Publisher:
Springer
Languages:
Original: English
ISBN10:
03879505083540678220
ISBN13:
9780387950501
GPSR Manufacturer Reference:
[email protected]
Weight:
248 g
Height:
155 cm
Width:
235 cm
Thickness:
9 cm
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