Inference for Diffusion Processes

With Applications in Life Sciences

Specificaties
Paperback, blz. | Engels
Springer Berlin Heidelberg | 2015
ISBN13: 9783642430176
Rubricering
Springer Berlin Heidelberg e druk, 2015 9783642430176
€ 144,99
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Samenvatting

Diffusion processes are a promising instrument for realistically modelling the time-continuous evolution of phenomena not only in the natural sciences but also in finance and economics. Their mathematical theory, however, is challenging, and hence diffusion modelling is often carried out incorrectly, and the according statistical inference is considered almost exclusively by theoreticians. This book explains both topics in an illustrative way which also addresses practitioners. It provides a complete overview of the current state of research and presents important, novel insights. The theory is demonstrated using real data applications.

Specificaties

ISBN13:9783642430176
Taal:Engels
Bindwijze:paperback
Uitgever:Springer Berlin Heidelberg

Inhoudsopgave

<p>Introduction.- Stochastic Modelling in Life Sciences.- Stochastic Differential Equations and Diffusions in a Nutshell.- Approximation of Markov Jump Processes by Diffusions.- Diffusion Models in Life Sciences.- Parametric Inference for Discretely-observed Diffusions.- Bayesian Inference for Diffusions with Low-frequency Observations.- Application I: Spread of Influenza.- Application II: Analysis of Molecular Binding.- Conclusion and Outlook.- Benchmark Models.- Miscellaneous.- Supplementary Material for Application I.- Supplementary Material for Application II.- Notation.- References.</p>
€ 144,99
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Gratis verzonden

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        Inference for Diffusion Processes