Stochastic Epidemic Models and Their Statistical Analysis

Stochastic Epidemic Models and Their Statistical Analysis
Author :
Publisher : Springer Science & Business Media
Total Pages : 140
Release :
ISBN-10 : 9781461211587
ISBN-13 : 1461211581
Rating : 4/5 (87 Downloads)

Book Synopsis Stochastic Epidemic Models and Their Statistical Analysis by : Hakan Andersson

Download or read book Stochastic Epidemic Models and Their Statistical Analysis written by Hakan Andersson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Stochastic Epidemic Models and Their Statistical Analysis Related Books

Stochastic Epidemic Models and Their Statistical Analysis
Language: en
Pages: 140
Authors: Hakan Andersson
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The present lecture notes describe stochastic epidemic models and methods for their statistical analysis. Our aim is to present ideas for such models, and metho
Stochastic Epidemic Models with Inference
Language: en
Pages: 477
Authors: Tom Britton
Categories: Mathematics
Type: BOOK - Published: 2019-11-30 - Publisher: Springer Nature

DOWNLOAD EBOOK

Focussing on stochastic models for the spread of infectious diseases in a human population, this book is the outcome of a two-week ICPAM/CIMPA school on "Stocha
Epidemic Modelling
Language: en
Pages: 160
Authors: D. J. Daley
Categories: Mathematics
Type: BOOK - Published: 1999-04-13 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This is a general introduction to the mathematical modelling of diseases.
Mathematical and Statistical Estimation Approaches in Epidemiology
Language: en
Pages: 367
Authors: Gerardo Chowell
Categories: Mathematics
Type: BOOK - Published: 2009-06-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Mathematical and Statistical Estimation Approaches in Epidemiology compiles t- oretical and practical contributions of experts in the analysis of infectious dis
Mathematical Tools for Understanding Infectious Disease Dynamics
Language: en
Pages: 516
Authors: Odo Diekmann
Categories: Mathematics
Type: BOOK - Published: 2013 - Publisher: Princeton University Press

DOWNLOAD EBOOK

This book explains how to translate biological assumptions into mathematics to construct useful and consistent models, and how to use the biological interpretat