On probability of high extremes for product of two independent Gaussian stationary processes

Verfasser / Beitragende:
[Vladimir Piterbarg, Alexander Zhdanov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Extremes, 18/1(2015-03-01), 99-108
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10687-014-0205-x  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10687-014-0205-x 
245 0 0 |a On probability of high extremes for product of two independent Gaussian stationary processes  |h [Elektronische Daten]  |c [Vladimir Piterbarg, Alexander Zhdanov] 
520 3 |a Let X(t), Y(t), t≥0, be two independent zero-mean stationary Gaussian processes, whose covariance functions are such that r i (t)=1−|t| a i +o(|t| a i ) as t → 0 $t\rightarrow 0$ , with 0 u ) $P(\max _{t\in \lbrack 0,p]}X(t)Y(t)>u)$ as u → ∞ $u\rightarrow \infty $ . We discuss possibilities generalizing obtained results to other Gaussian chaos processes h(X(t)), with a Gaussian vector process X(t) and a homogeneous function h of positive order. 
540 |a Springer Science+Business Media New York, 2014 
690 7 |a Gaussian processes  |2 nationallicence 
690 7 |a Gaussian chaos  |2 nationallicence 
690 7 |a High extremes probabilities  |2 nationallicence 
690 7 |a Double sum method  |2 nationallicence 
700 1 |a Piterbarg  |D Vladimir  |u Moscow Lomonosov State University, Moscow, Russia  |4 aut 
700 1 |a Zhdanov  |D Alexander  |u Moscow Lomonosov State University, Moscow, Russia  |4 aut 
773 0 |t Extremes  |d Springer US; http://www.springer-ny.com  |g 18/1(2015-03-01), 99-108  |x 1386-1999  |q 18:1<99  |1 2015  |2 18  |o 10687 
856 4 0 |u https://doi.org/10.1007/s10687-014-0205-x  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10687-014-0205-x  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Piterbarg  |D Vladimir  |u Moscow Lomonosov State University, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Zhdanov  |D Alexander  |u Moscow Lomonosov State University, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Extremes  |d Springer US; http://www.springer-ny.com  |g 18/1(2015-03-01), 99-108  |x 1386-1999  |q 18:1<99  |1 2015  |2 18  |o 10687