Sangam: A Confluence of Knowledge Streams

A Brief History of Long Memory: Hurst, Mandelbrot and the Road to ARFIMA, 1951–1980

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dc.contributor Statistics
dc.creator Graves, Timothy
dc.creator Gramacy, Robert B.
dc.creator Watkins, Nicholas
dc.creator Franzke, Christian
dc.date 2017-09-19T17:59:51Z
dc.date 2017-09-19T17:59:51Z
dc.date 2017-08-23
dc.date 2017-09-19T17:59:51Z
dc.date.accessioned 2023-03-01T18:42:10Z
dc.date.available 2023-03-01T18:42:10Z
dc.identifier Entropy 19 (9): 437 (2017)
dc.identifier http://hdl.handle.net/10919/79139
dc.identifier https://doi.org/10.3390/e19090437
dc.identifier.uri http://localhost:8080/xmlui/handle/CUHPOERS/280504
dc.description Long memory plays an important role in many fields by determining the behaviour and predictability of systems; for instance, climate, hydrology, finance, networks and DNA sequencing. In particular, it is important to test if a process is exhibiting long memory since that impacts the accuracy and confidence with which one may predict future events on the basis of a small amount of historical data. A major force in the development and study of long memory was the late Benoit B. Mandelbrot. Here, we discuss the original motivation of the development of long memory and Mandelbrot’s influence on this fascinating field. We will also elucidate the sometimes contrasting approaches to long memory in different scientific communities.
dc.description Published version
dc.format application/pdf
dc.format application/pdf
dc.language en
dc.publisher MDPI
dc.rights Creative Commons Attribution 4.0 International
dc.rights http://creativecommons.org/licenses/by/4.0/
dc.subject long-range dependence
dc.subject Hurst effect
dc.subject fractionally differenced models
dc.subject Mandelbrot
dc.title A Brief History of Long Memory: Hurst, Mandelbrot and the Road to ARFIMA, 1951–1980
dc.title Entropy
dc.type Article - Refereed
dc.type Text


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