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Parameter Estimation in Fractional Diffusion Models (Hardcover, 1st ed. 2017)
Loot Price: R3,191
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Parameter Estimation in Fractional Diffusion Models (Hardcover, 1st ed. 2017)
Series: Bocconi & Springer Series, 8
Expected to ship within 12 - 17 working days
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This book is devoted to parameter estimation in diffusion models
involving fractional Brownian motion and related processes. For
many years now, standard Brownian motion has been (and still
remains) a popular model of randomness used to investigate
processes in the natural sciences, financial markets, and the
economy. The substantial limitation in the use of stochastic
diffusion models with Brownian motion is due to the fact that the
motion has independent increments, and, therefore, the random noise
it generates is "white," i.e., uncorrelated. However, many
processes in the natural sciences, computer networks and financial
markets have long-term or short-term dependences, i.e., the
correlations of random noise in these processes are non-zero, and
slowly or rapidly decrease with time. In particular, models of
financial markets demonstrate various kinds of memory and usually
this memory is modeled by fractional Brownian diffusion. Therefore,
the book constructs diffusion models with memory and provides
simple and suitable parameter estimation methods in these models,
making it a valuable resource for all researchers in this field.
The book is addressed to specialists and researchers in the theory
and statistics of stochastic processes, practitioners who apply
statistical methods of parameter estimation, graduate and
post-graduate students who study mathematical modeling and
statistics.
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