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Long-Memory Processes: Probabilistic Properties and Statistical Methods

Long-Memory Processes: Probabilistic Properties and Statistical Methods
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Field name Details
Dewey Class 519.5
Title Long-Memory Processes ([Ebook]) : Probabilistic Properties and Statistical Methods / by Jan Beran, Yuanhua Feng, Sucharita Ghosh, Rafal Kulik.
Author Beran, Jan
Added Personal Name Feng, Yuanhua
Ghosh, Sucharita
Kulik, Rafal
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : Springer
, 2013.
Physical Details XVII, 884 pages : 89 illus., 60 illus. in color. : online resource.
ISBN 9783642355127
Summary Note Long-memory processes are known to play an important part in many areas of science and technology, including physics, geophysics, hydrology, telecommunications, economics, finance, climatology, and network engineering. In the last 20 years enormous progress has been made in understanding the probabilistic foundations and statistical principles of such processes. This book provides a timely and comprehensive review, including a thorough discussion of mathematical and probabilistic foundations and statistical methods, emphasizing their practical motivation and mathematical justification. Proofs of the main theorems are provided and data examples illustrate practical aspects. This book will be a valuable resource for researchers and graduate students in statistics, mathematics, econometrics and other quantitative areas, as well as for practitioners and applied researchers who need to analyze data in which long memory, power laws, self-similar scaling or fractal properties are relevant.:
Contents note Definition of Long Memory -- Origins and Generation of Long Memory -- Mathematical Concepts -- Limit Theorems -- Statistical Inference for Stationary Processes -- Statistical Inference for Nonlinear Processes -- Statistical Inference for Nonstationary Processes -- Forecasting -- Spatial and Space-Time Processes -- Resampling -- Function Spaces -- Regularly Varying Functions -- Vague Convergence -- Some Useful Integrals -- Notation and Abbreviations.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-3-642-35512-7
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