An Investigation of Stretched Exponential Function in Quantifying Long-Term Memory of Extreme Events Based on Artificial Data following Lévy Stable Distribution

Joint Authors

Sun, HongGuang
Yuan, Lin
Zhang, Yong
Privitera, Nicholas

Source

Complexity

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-07-03

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Philosophy

Abstract EN

Extreme events, which are usually characterized by generalized extreme value (GEV) models, can exhibit long-term memory, whose impact needs to be quantified.

It was known that extreme recurrence intervals can better characterize the significant influence of long-term memory than using the GEV model.

Our statistical analyses based on time series datasets following the Lévy stable distribution confirm that the stretched exponential distribution can describe a wide spectrum of memory behavior transition from exponentially distributed intervals (without memory) to power-law distributed ones (with strong memory or fractal scaling property), extending the previous evaluation of the stretched exponential function using Gaussian/exponential distributed random data.

Further deviation and discussion of a historical paradox (i.e., the residual waiting time tends to increase with an increasing elapsed time under long-term memory) are also provided, based on the theoretical analysis of the Bayesian law and the stretched exponential distribution.

American Psychological Association (APA)

Sun, HongGuang& Yuan, Lin& Zhang, Yong& Privitera, Nicholas. 2018. An Investigation of Stretched Exponential Function in Quantifying Long-Term Memory of Extreme Events Based on Artificial Data following Lévy Stable Distribution. Complexity،Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1134872

Modern Language Association (MLA)

Sun, HongGuang…[et al.]. An Investigation of Stretched Exponential Function in Quantifying Long-Term Memory of Extreme Events Based on Artificial Data following Lévy Stable Distribution. Complexity No. 2018 (2018), pp.1-7.
https://search.emarefa.net/detail/BIM-1134872

American Medical Association (AMA)

Sun, HongGuang& Yuan, Lin& Zhang, Yong& Privitera, Nicholas. An Investigation of Stretched Exponential Function in Quantifying Long-Term Memory of Extreme Events Based on Artificial Data following Lévy Stable Distribution. Complexity. 2018. Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1134872

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1134872