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  1. Extremes
  2. Extremes : Volume 9
  3. Extremes : Volume 9, Issue 2, June 2006
  4. Tail asymptotics for the sum of two heavy-tailed dependent risks
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Extremes : Volume 20
Extremes : Volume 19
Extremes : Volume 18
Extremes : Volume 17
Extremes : Volume 16
Extremes : Volume 15
Extremes : Volume 14
Extremes : Volume 13
Extremes : Volume 12
Extremes : Volume 11
Extremes : Volume 10
Extremes : Volume 9
Extremes : Volume 9, Issue 3-4, December 2006
Extremes : Volume 9, Issue 2, June 2006
Accounting for threshold uncertainty in extreme value estimation
Tail asymptotics for the sum of two heavy-tailed dependent risks
Tail approximations to the density function in EVT
Convergence of tail sum for records
Extremes : Volume 9, Issue 1, March 2006
Extremes : Volume 8
Extremes : Volume 7
Extremes : Volume 6
Extremes : Volume 5
Extremes : Volume 4
Extremes : Volume 3
Extremes : Volume 2
Extremes : Volume 1

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Tail asymptotics for the sum of two heavy-tailed dependent risks

Content Provider Springer Nature Link
Author Albrecher, Hansjörg Asmussen, Søren Kortschak, Dominik
Copyright Year 2006
Abstract Let X 1 , X 2 denote positive heavy-tailed random variables with continuous marginal distribution functions F 1 and F 2, respectively. The asymptotic behavior of the tail of X 1 +X 2 is studied in a general copula framework and some bounds and extremal properties are provided. For more specific assumptions on F 1 , F 2 and the underlying dependence structure of X 1 and X 2, we survey explicit asymptotic results available in the literature and add several new cases.
Starting Page 107
Ending Page 130
Page Count 24
File Format PDF
ISSN 13861999
Journal Extremes
Volume Number 9
Issue Number 2
e-ISSN 1572915X
Language English
Publisher Kluwer Academic Publishers-Plenum Publishers
Publisher Date 2006-08-18
Publisher Place New York
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Copula Dependence Mean excess function Regular variation Subexponential distribution Exchangeability Tail dependence Statistics for Business/Economics/Mathematical Finance/Insurance Environmental Management Hydrogeology Civil Engineering Quality Control, Reliability, Safety and Risk Statistics
Content Type Text
Resource Type Article
Subject Statistics and Probability Economics, Econometrics and Finance Engineering
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