Survival Exponents for Some Gaussian Processes

Author

Molchan, G.

Source

International Journal of Stochastic Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-11-29

Country of Publication

Egypt

No. of Pages

20

Main Subjects

Mathematics

Abstract EN

The problem is a power-law asymptotics of the probability that a self-similar process does not exceed a fixed level during long time.

The exponent in such asymptotics is estimated for some Gaussian processes, including the fractional Brownian motion (FBM) in (−T−,T), T≥T−≫1 and the integrated FBM in (0,T), T≫1.

American Psychological Association (APA)

Molchan, G.. 2012. Survival Exponents for Some Gaussian Processes. International Journal of Stochastic Analysis،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-448640

Modern Language Association (MLA)

Molchan, G.. Survival Exponents for Some Gaussian Processes. International Journal of Stochastic Analysis No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-448640

American Medical Association (AMA)

Molchan, G.. Survival Exponents for Some Gaussian Processes. International Journal of Stochastic Analysis. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-448640

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-448640