Comparing Model Selection Criteria to Distinguish Truncated Operational Risk Models

In this paper three information criteria are employed to assess the truncated operational risk models. The performances of the three information criteria on distinguishing the models are compared. The competing models are constructed using Champernowne, Frechet, Lognormal, Lomax, Paralogistic, and W...

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Main Author: Daoping Yu
Format: Article
Language:English
Published: Frontiers Media S.A. 2020-08-01
Series:Frontiers in Applied Mathematics and Statistics
Subjects:
Online Access:https://www.frontiersin.org/article/10.3389/fams.2020.00028/full
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author Daoping Yu
author_facet Daoping Yu
author_sort Daoping Yu
collection DOAJ
description In this paper three information criteria are employed to assess the truncated operational risk models. The performances of the three information criteria on distinguishing the models are compared. The competing models are constructed using Champernowne, Frechet, Lognormal, Lomax, Paralogistic, and Weibull distributions, respectively. Simulation studies are conducted before a case study. In the case study, certain distributional models conform to the external fraud type of risk data in retail banking of Chinese banks. However, those models are difficult to distinguish using standard information criteria such as Akaike Information Criterion and Bayesian Information Criterion. We have found no single information criterion is absolutely more effective than others in the simulation studies. But the information complexity based ICOMP criterion says a little bit more if AIC and/or BIC cannot kick the Lognormal model out of the pool of competing models.
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spelling doaj.art-d2fe6bb77fea4f2981b111daec4b2e1b2022-12-22T01:35:28ZengFrontiers Media S.A.Frontiers in Applied Mathematics and Statistics2297-46872020-08-01610.3389/fams.2020.00028557971Comparing Model Selection Criteria to Distinguish Truncated Operational Risk ModelsDaoping YuIn this paper three information criteria are employed to assess the truncated operational risk models. The performances of the three information criteria on distinguishing the models are compared. The competing models are constructed using Champernowne, Frechet, Lognormal, Lomax, Paralogistic, and Weibull distributions, respectively. Simulation studies are conducted before a case study. In the case study, certain distributional models conform to the external fraud type of risk data in retail banking of Chinese banks. However, those models are difficult to distinguish using standard information criteria such as Akaike Information Criterion and Bayesian Information Criterion. We have found no single information criterion is absolutely more effective than others in the simulation studies. But the information complexity based ICOMP criterion says a little bit more if AIC and/or BIC cannot kick the Lognormal model out of the pool of competing models.https://www.frontiersin.org/article/10.3389/fams.2020.00028/fullinformation criteriamodel selectionoperational risktruncated modelsValue at Risk (VaR)
spellingShingle Daoping Yu
Comparing Model Selection Criteria to Distinguish Truncated Operational Risk Models
Frontiers in Applied Mathematics and Statistics
information criteria
model selection
operational risk
truncated models
Value at Risk (VaR)
title Comparing Model Selection Criteria to Distinguish Truncated Operational Risk Models
title_full Comparing Model Selection Criteria to Distinguish Truncated Operational Risk Models
title_fullStr Comparing Model Selection Criteria to Distinguish Truncated Operational Risk Models
title_full_unstemmed Comparing Model Selection Criteria to Distinguish Truncated Operational Risk Models
title_short Comparing Model Selection Criteria to Distinguish Truncated Operational Risk Models
title_sort comparing model selection criteria to distinguish truncated operational risk models
topic information criteria
model selection
operational risk
truncated models
Value at Risk (VaR)
url https://www.frontiersin.org/article/10.3389/fams.2020.00028/full
work_keys_str_mv AT daopingyu comparingmodelselectioncriteriatodistinguishtruncatedoperationalriskmodels