Rare-event asymptotics for the number of exceedances of multiplicative factor models

Verfasser / Beitragende:
[Christian Robert]
Ort, Verlag, Jahr:
2015
Enthalten in:
Extremes, 18/3(2015-09-01), 511-527
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10687-015-0222-4  |2 doi 
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100 1 |a Robert  |D Christian  |u Université de Lyon, Université Lyon 1, Institut de Science Financière et d'Assurances, 50 Avenue Tony Garnier, 69007, Lyon, France  |4 aut 
245 1 0 |a Rare-event asymptotics for the number of exceedances of multiplicative factor models  |h [Elektronische Daten]  |c [Christian Robert] 
520 3 |a In this paper, we study the asymptotic distribution of the number of exceedances of multiplicative factor models under the rare-event condition that the probability the number of exceedances is positive tends to zero. We show that the asymptotic conditional distribution (given that there is at least one exceedance), as well as the condition such that the probability of the conditional event tends to zero, depend on the distribution of the multiplicative disturbances. When the distribution of the disturbances is not a heavy-tailed distribution, it is necessary to normalize the number of exceedances to get a non-degenerate asymptotic distribution. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a Multiplicative factor models  |2 nationallicence 
690 7 |a Number of exceedances  |2 nationallicence 
690 7 |a Asymptotic conditional distributions  |2 nationallicence 
773 0 |t Extremes  |d Springer US; http://www.springer-ny.com  |g 18/3(2015-09-01), 511-527  |x 1386-1999  |q 18:3<511  |1 2015  |2 18  |o 10687 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Robert  |D Christian  |u Université de Lyon, Université Lyon 1, Institut de Science Financière et d'Assurances, 50 Avenue Tony Garnier, 69007, Lyon, France  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Extremes  |d Springer US; http://www.springer-ny.com  |g 18/3(2015-09-01), 511-527  |x 1386-1999  |q 18:3<511  |1 2015  |2 18  |o 10687