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Handbook of Approximate Bayesian Computation [Kõva köide]

Edited by (University of New South Wales, Sydney, Australia), Edited by (University of New South Wales, Sydney, Australia), Edited by (University of Bristol, UK)
  • Formaat: Hardback, 662 pages, kõrgus x laius: 234x156 mm, kaal: 1160 g, 34 Tables, black and white; 114 Illustrations, black and white
  • Sari: Chapman & Hall/CRC Handbooks of Modern Statistical Methods
  • Ilmumisaeg: 10-Aug-2018
  • Kirjastus: Chapman & Hall/CRC
  • ISBN-10: 1439881502
  • ISBN-13: 9781439881507
Teised raamatud teemal:
  • Formaat: Hardback, 662 pages, kõrgus x laius: 234x156 mm, kaal: 1160 g, 34 Tables, black and white; 114 Illustrations, black and white
  • Sari: Chapman & Hall/CRC Handbooks of Modern Statistical Methods
  • Ilmumisaeg: 10-Aug-2018
  • Kirjastus: Chapman & Hall/CRC
  • ISBN-10: 1439881502
  • ISBN-13: 9781439881507
Teised raamatud teemal:
As the world becomes increasingly complex, so do the statistical models required to analyse the challenging problems ahead. For the very first time in a single volume, the Handbook of Approximate Bayesian Computation (ABC) presents an extensive overview of the theory, practice and application of ABC methods. These simple, but powerful statistical techniques, take Bayesian statistics beyond the need to specify overly simplified models, to the setting where the model is defined only as a process that generates data. This process can be arbitrarily complex, to the point where standard Bayesian techniques based on working with tractable likelihood functions would not be viable. ABC methods finesse the problem of model complexity within the Bayesian framework by exploiting modern computational power, thereby permitting approximate Bayesian analyses of models that would otherwise be impossible to implement.

The Handbook of ABC provides illuminating insight into the world of Bayesian modelling for intractable models for both experts and newcomers alike. It is an essential reference book for anyone interested in learning about and implementing ABC techniques to analyse complex models in the modern world.

Arvustused

"The Handbook of Approximate Bayesian Computation presents basic approaches as well as extension and mathematical details about ABC approaches. Advantages (simplicity, wide applicability) as well as challenges (computational burden, various assumptions/choice of tuning parameters) of ABC are discussed in theory and application ... the Handbook of Approximate Bayesian Computation is an excellent book and an indispensable choice for all (beginners and advanced users) who are interested in obtaining a deeper understanding of ABC approaches in application as well as statistical theory." -Heiko Götte, Merck Healthcare KGaA, Darmstadt, Germany

Preface ix
Editors xi
Contributors xiii
I Methods
1(648)
1 Overview of ABC
3(52)
S. A. Sisson
Y. Fan
M. A. Beaumont
2 On the History of ABC
55(16)
Simon Tavare
3 Regression Approaches for ABC
71(16)
Michael G.B. Blum
4 ABC Samplers
87(38)
S. A. Sisson
Y. Fan
5 Summary Statistics
125(28)
Dennis Prangle
6 Likelihood-Free Model Choice
153(26)
Jean-Michel Marin
Pierre Pudlo
Arnaud Estoup
Christian Robert
7 ABC and Indirect Inference
179(32)
Christopher C. Drovandi
8 High-Dimensional ABC
211(32)
David J. Nott
Victor M.-H. Ong
Y. Fan
S. A. Sisson
9 Theoretical and Methodological Aspects of Markov Chain Monte Carlo Computations with Noisy Likelihoods
243(26)
Christophe Andrieu
Anthony Lee
Matti Vihola
10 Asymptotics of ABC
269(20)
Paul Fearnhead
11 Informed Choices: How to Calibrate ABC with Hypothesis Testing
289(32)
Oliver Ratmann
Anton Camacho
Sen Hu
Caroline Colijn
12 Approximating the Likelihood in ABC
321(48)
Christopher C. Drovandi
Clara Grazian
Kerrie Mengersen
Christian Robert
13 A Guide to General-Purpose ABC Software
369(46)
Athanasios Kousathanas
Pablo Duchen
Daniel Wegmann
14 Divide and Conquer in ABC: Expectation-Propagation Algorithms for Likelihood-Free Inference
435(2)
Simon Barthelme
Nicolas Chopin
Vincent Cottet
15 Sequential Monte Carlo-ABC Methods for Estimation of Stochastic Simulation Models of the Limit Order Book
437(44)
Gareth W. Peters
Efstathios Panayi
Francois Septier
16 Inferences on the Acquisition of Multi-Drug Resistance in Mycobacterium Tuberculosis Using Molecular Epidemiological Data
481(32)
Guilherme S. Rodrigues
Andrew R. Francis
S. A. Sisson
Mark M. Tanaka
17 ABC in Systems Biology
513(28)
Juliane Liepe
Michael P.H. Stumpf
18 Application of ABC to Infer the Genetic History of Pygmy Hunter-Gatherer Populations from Western Central Africa
541(28)
Arnaud Estoup
Paul Verdu
Jean-Michel Marin
Christian Robert
Alex Dehne-Garcia
Jean-Marie Cornuet
Pierre Pudlo
19 ABC for Climate: Dealing with Expensive Simulators
569(28)
Philip B. Holden
Neil R. Edwards
James Hensman
Richard D. Wilkinson
20 ABC in Ecological Modelling
597(26)
Matteo Fasiolo
Simon N. Wood
21 ABC in Nuclear Imaging
623(26)
Y. Fan
Steven R. Meikle
Georgios I. Angelis
Arkadiusz Sitek
Index 649
Scott Sission is Professor, ARC Future Fellow and Head of Statistics in the School of Mathematics and Statistics at UNSW.

Yanan Fan is a Senior Lecturer at the School of Mathematics and Statistics at UNSW.

Mark Beaumont is Professor of Statistics at the University of Bristol.