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Approximation of the Equilibrium Distribution via Extreme Value Theory: an Application to Insurance Risk
by
Martín-González, Ehyter Matías
, Murillo-Salas, Antonio
, Kolkovska Ekaterina Todorova
in
Approximation
/ Equilibrium
/ Extreme value theory
/ Extreme values
/ Performance evaluation
/ Probability
/ Random variables
2021
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Approximation of the Equilibrium Distribution via Extreme Value Theory: an Application to Insurance Risk
by
Martín-González, Ehyter Matías
, Murillo-Salas, Antonio
, Kolkovska Ekaterina Todorova
in
Approximation
/ Equilibrium
/ Extreme value theory
/ Extreme values
/ Performance evaluation
/ Probability
/ Random variables
2021
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Do you wish to request the book?
Approximation of the Equilibrium Distribution via Extreme Value Theory: an Application to Insurance Risk
by
Martín-González, Ehyter Matías
, Murillo-Salas, Antonio
, Kolkovska Ekaterina Todorova
in
Approximation
/ Equilibrium
/ Extreme value theory
/ Extreme values
/ Performance evaluation
/ Probability
/ Random variables
2021
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Approximation of the Equilibrium Distribution via Extreme Value Theory: an Application to Insurance Risk
Journal Article
Approximation of the Equilibrium Distribution via Extreme Value Theory: an Application to Insurance Risk
2021
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Overview
We use the excess over a threshold method (see e.g. Embrechts et al. 1997) to approximate the tails of equilibrium distributions (integrated tail distributions) associated to distributions with regularly varying tail. We evaluate the performance of our approximations in some particular cases of distributions with regularly varying tails. Finally, we apply our results to the Danish reinsurance real data set.
Publisher
Springer Nature B.V
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