Structured Dependence between Stochastic Processes

Structured Dependence between Stochastic Processes
Author: Tomasz R. Bielecki
Publisher: Cambridge University Press
Total Pages: 280
Release: 2020-08-27
Genre: Mathematics
ISBN: 1108895379

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The relatively young theory of structured dependence between stochastic processes has many real-life applications in areas including finance, insurance, seismology, neuroscience, and genetics. With this monograph, the first to be devoted to the modeling of structured dependence between random processes, the authors not only meet the demand for a solid theoretical account but also develop a stochastic processes counterpart of the classical copula theory that exists for finite-dimensional random variables. Presenting both the technical aspects and the applications of the theory, this is a valuable reference for researchers and practitioners in the field, as well as for graduate students in pure and applied mathematics programs. Numerous theoretical examples are included, alongside examples of both current and potential applications, aimed at helping those who need to model structured dependence between dynamic random phenomena.


Structured Dependence between Stochastic Processes
Language: en
Pages: 280
Authors: Tomasz R. Bielecki
Categories: Mathematics
Type: BOOK - Published: 2020-08-27 - Publisher: Cambridge University Press

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The relatively young theory of structured dependence between stochastic processes has many real-life applications in areas including finance, insurance, seismol
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This book provides an advanced guide to correlation modelling for credit portfolios, providing both theoretical underpinnings and practical implementation guida
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This account of recent works on weakly dependent, long memory and multifractal processes introduces new dependence measures for studying complex stochastic syst
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The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the ser