Quantile estimation for the generalized pareto distribution with application to finance

Generalized Pareto distributions (GPD) are widely used for modeling excesses over high thresholds (within the framework of the POT-approach to modeling extremes). The aim of the paper is to give the review of the classical techniques for estimating GPD quantiles, and to apply these methods in fi...

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Main Author: Jocković Jelena
Format: Article
Language:English
Published: University of Belgrade 2012-01-01
Series:Yugoslav Journal of Operations Research
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-0243/2012/0354-02431200013J.pdf
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author Jocković Jelena
author_facet Jocković Jelena
author_sort Jocković Jelena
collection DOAJ
description Generalized Pareto distributions (GPD) are widely used for modeling excesses over high thresholds (within the framework of the POT-approach to modeling extremes). The aim of the paper is to give the review of the classical techniques for estimating GPD quantiles, and to apply these methods in finance - to estimate the Value-at-Risk (VaR) parameter, and discuss certain difficulties related to this subject.[Acknowledgments. This work is supported by the Ministry of Education and Science of the Republic of Serbia, Grant nos. 174012 and TR34007]
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spelling doaj.art-ff2efc431c7d4a45b79f54cd6fc10a012022-12-22T03:18:01ZengUniversity of BelgradeYugoslav Journal of Operations Research0354-02431820-743X2012-01-0122229731110.2298/YJOR110308013JQuantile estimation for the generalized pareto distribution with application to financeJocković JelenaGeneralized Pareto distributions (GPD) are widely used for modeling excesses over high thresholds (within the framework of the POT-approach to modeling extremes). The aim of the paper is to give the review of the classical techniques for estimating GPD quantiles, and to apply these methods in finance - to estimate the Value-at-Risk (VaR) parameter, and discuss certain difficulties related to this subject.[Acknowledgments. This work is supported by the Ministry of Education and Science of the Republic of Serbia, Grant nos. 174012 and TR34007]http://www.doiserbia.nb.rs/img/doi/0354-0243/2012/0354-02431200013J.pdfgeneralized Pareto distributionsexcesses over high thresholdsquantiles of the distributionValue at Risk
spellingShingle Jocković Jelena
Quantile estimation for the generalized pareto distribution with application to finance
Yugoslav Journal of Operations Research
generalized Pareto distributions
excesses over high thresholds
quantiles of the distribution
Value at Risk
title Quantile estimation for the generalized pareto distribution with application to finance
title_full Quantile estimation for the generalized pareto distribution with application to finance
title_fullStr Quantile estimation for the generalized pareto distribution with application to finance
title_full_unstemmed Quantile estimation for the generalized pareto distribution with application to finance
title_short Quantile estimation for the generalized pareto distribution with application to finance
title_sort quantile estimation for the generalized pareto distribution with application to finance
topic generalized Pareto distributions
excesses over high thresholds
quantiles of the distribution
Value at Risk
url http://www.doiserbia.nb.rs/img/doi/0354-0243/2012/0354-02431200013J.pdf
work_keys_str_mv AT jockovicjelena quantileestimationforthegeneralizedparetodistributionwithapplicationtofinance