Bootstrapping Nonparametric Prediction Intervals for Conditional Value-at-Risk with Heteroscedasticity

Using bootstrap method, we have constructed nonparametric prediction intervals for Conditional Value-at-Risk for returns that admit a heteroscedastic location-scale model where the location and scale functions are smooth, and the function of the error term is unknown and is assumed to be uncorrelate...

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Main Authors: Emmanuel Torsen, Lema Logamou Seknewna
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2019/7691841
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author Emmanuel Torsen
Lema Logamou Seknewna
author_facet Emmanuel Torsen
Lema Logamou Seknewna
author_sort Emmanuel Torsen
collection DOAJ
description Using bootstrap method, we have constructed nonparametric prediction intervals for Conditional Value-at-Risk for returns that admit a heteroscedastic location-scale model where the location and scale functions are smooth, and the function of the error term is unknown and is assumed to be uncorrelated to the independent variable. The prediction interval performs well for large sample sizes and is relatively small, which is consistent with what is obtainable in the literature.
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institution Kabale University
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spelling doaj-art-3383d6bb43784f48b67d7ccba883cef12025-02-03T01:32:46ZengWileyJournal of Probability and Statistics1687-952X1687-95382019-01-01201910.1155/2019/76918417691841Bootstrapping Nonparametric Prediction Intervals for Conditional Value-at-Risk with HeteroscedasticityEmmanuel Torsen0Lema Logamou Seknewna1Department of Mathematics, Pan African University, Institute of Basic Sciences, Technology, and Innovation, KenyaDepartment of Mathematics, Pan African University, Institute of Basic Sciences, Technology, and Innovation, KenyaUsing bootstrap method, we have constructed nonparametric prediction intervals for Conditional Value-at-Risk for returns that admit a heteroscedastic location-scale model where the location and scale functions are smooth, and the function of the error term is unknown and is assumed to be uncorrelated to the independent variable. The prediction interval performs well for large sample sizes and is relatively small, which is consistent with what is obtainable in the literature.http://dx.doi.org/10.1155/2019/7691841
spellingShingle Emmanuel Torsen
Lema Logamou Seknewna
Bootstrapping Nonparametric Prediction Intervals for Conditional Value-at-Risk with Heteroscedasticity
Journal of Probability and Statistics
title Bootstrapping Nonparametric Prediction Intervals for Conditional Value-at-Risk with Heteroscedasticity
title_full Bootstrapping Nonparametric Prediction Intervals for Conditional Value-at-Risk with Heteroscedasticity
title_fullStr Bootstrapping Nonparametric Prediction Intervals for Conditional Value-at-Risk with Heteroscedasticity
title_full_unstemmed Bootstrapping Nonparametric Prediction Intervals for Conditional Value-at-Risk with Heteroscedasticity
title_short Bootstrapping Nonparametric Prediction Intervals for Conditional Value-at-Risk with Heteroscedasticity
title_sort bootstrapping nonparametric prediction intervals for conditional value at risk with heteroscedasticity
url http://dx.doi.org/10.1155/2019/7691841
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