Difference between revisions of "Stochastic Process with Memory"

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==Full Title==
 
==Full Title==
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For a review of memory in a stochastic process <ref>GENNADY SAMORODNITSKY ''LONG RANGE DEPENDENCE'' Cornell (2007?) https://people.orie.cornell.edu/gennady/techreports/LRD-NOW.pdf</ref>
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For a review of memory in a stochastic process. The “specialness” of long memory indicates that most stationary stochastic processes do not have it. <ref>GENNADY SAMORODNITSKY ''LONG RANGE DEPENDENCE'' Cornell (2007?) https://people.orie.cornell.edu/gennady/techreports/LRD-NOW.pdf</ref>
 
==Context==
 
==Context==
 
The first serious argument that this can be important is
 
The first serious argument that this can be important is

Revision as of 09:54, 29 November 2024

Full Title

For a review of memory in a stochastic process. The “specialness” of long memory indicates that most stationary stochastic processes do not have it. [1]

Context

The first serious argument that this can be important is in a series of papers of B. Mandelbrot and his co-authors, e.g. Mandelbrot (1965) and Mandelbrot and Wallis (1968). It is also due to the influence of these early papers and subsequent publications of Mandelbrot (especially Mandelbrot (1983)) that long range dependence has also become associated with scaling and fractal behavior.


References

  1. ↑ GENNADY SAMORODNITSKY LONG RANGE DEPENDENCE Cornell (2007?) https://people.orie.cornell.edu/gennady/techreports/LRD-NOW.pdf