By Rafal Kulik

Long-memory approaches are recognized to play an immense half in lots of parts of technological know-how and expertise, together with physics, geophysics, hydrology, telecommunications, economics, finance, climatology, and community engineering. within the final two decades huge, immense growth has been made in knowing the probabilistic foundations and statistical rules of such procedures. This booklet offers a well timed and accomplished evaluation, together with an intensive dialogue of mathematical and probabilistic foundations and statistical tools, emphasizing their functional motivation and mathematical justification. Proofs of the most theorems are supplied and knowledge examples illustrate sensible points. This e-book could be a necessary source for researchers and graduate scholars in information, arithmetic, econometrics and different quantitative parts, in addition to for practitioners and utilized researchers who have to learn information within which lengthy reminiscence, strength legislation, self-similar scaling or fractal homes are proper.

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