Comparison of Kullback-Leibler, Hellinger and LINEX with Quadratic Loss Function in Bayesian Dynamic Linear Models: Forecasting of Real Price of Oil

In this paper we intend to examine the application of Kullback-Leibler, Hellinger and LINEX loss function in Dynamic Linear Model using the real price of oil for 106 years of data from 1913 to 2018 concerning the asymmetric problem in filtering and forecasting. We use DLM form of the basic Hoteling...

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Main Authors: Esmaiel Abounoori, Mohsen Ali Heydari
Format: Article
Language:English
Published: University of Sistan and Baluchestan 2020-06-01
Series:International Journal of Business and Development Studies
Subjects:
Online Access:https://ijbds.usb.ac.ir/article_5435_5b772c23d8535ac41801b8413bd45b28.pdf
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author Esmaiel Abounoori
Mohsen Ali Heydari
author_facet Esmaiel Abounoori
Mohsen Ali Heydari
author_sort Esmaiel Abounoori
collection DOAJ
description In this paper we intend to examine the application of Kullback-Leibler, Hellinger and LINEX loss function in Dynamic Linear Model using the real price of oil for 106 years of data from 1913 to 2018 concerning the asymmetric problem in filtering and forecasting. We use DLM form of the basic Hoteling Model under Quadratic loss function, Kullback-Leibler, Hellinger and LINEX trying to address the results if we treat the ‘over-estimation’ and ‘under-estimation’ differently. So, we drive one-step-ahead forecast for Dynamic Linear Model under quadratic, LINEX and Kullback-Leibler losses in Bayesian context. With Normal posterior distribution, our results suggest that, the LINEX loss function may provide better forecasts than conventional Quadratic loss function, Hellinger and Kullback-Leibler loss function, especially in case of having volatility and time-varying parameters.JEL classification: C11, C22, C53, C61, Q47
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spelling doaj.art-99b4548e27db442a8b7da37e41b949f52023-06-15T16:56:25ZengUniversity of Sistan and BaluchestanInternational Journal of Business and Development Studies2538-33022538-33102020-06-01121213810.22111/ijbds.2020.54355435Comparison of Kullback-Leibler, Hellinger and LINEX with Quadratic Loss Function in Bayesian Dynamic Linear Models: Forecasting of Real Price of OilEsmaiel Abounoori0Mohsen Ali Heydari1Professor of Econometrics & Social Statistics, Department of Economics, Semnan University, Semnan, IranPh. D Student of Econometrics, Semnan University, Semnan-IranIn this paper we intend to examine the application of Kullback-Leibler, Hellinger and LINEX loss function in Dynamic Linear Model using the real price of oil for 106 years of data from 1913 to 2018 concerning the asymmetric problem in filtering and forecasting. We use DLM form of the basic Hoteling Model under Quadratic loss function, Kullback-Leibler, Hellinger and LINEX trying to address the results if we treat the ‘over-estimation’ and ‘under-estimation’ differently. So, we drive one-step-ahead forecast for Dynamic Linear Model under quadratic, LINEX and Kullback-Leibler losses in Bayesian context. With Normal posterior distribution, our results suggest that, the LINEX loss function may provide better forecasts than conventional Quadratic loss function, Hellinger and Kullback-Leibler loss function, especially in case of having volatility and time-varying parameters.JEL classification: C11, C22, C53, C61, Q47https://ijbds.usb.ac.ir/article_5435_5b772c23d8535ac41801b8413bd45b28.pdfdynamic linear modellinexkullback-leiblerhelligerquadratic loss functionoil price forecasting
spellingShingle Esmaiel Abounoori
Mohsen Ali Heydari
Comparison of Kullback-Leibler, Hellinger and LINEX with Quadratic Loss Function in Bayesian Dynamic Linear Models: Forecasting of Real Price of Oil
International Journal of Business and Development Studies
dynamic linear model
linex
kullback-leibler
helliger
quadratic loss function
oil price forecasting
title Comparison of Kullback-Leibler, Hellinger and LINEX with Quadratic Loss Function in Bayesian Dynamic Linear Models: Forecasting of Real Price of Oil
title_full Comparison of Kullback-Leibler, Hellinger and LINEX with Quadratic Loss Function in Bayesian Dynamic Linear Models: Forecasting of Real Price of Oil
title_fullStr Comparison of Kullback-Leibler, Hellinger and LINEX with Quadratic Loss Function in Bayesian Dynamic Linear Models: Forecasting of Real Price of Oil
title_full_unstemmed Comparison of Kullback-Leibler, Hellinger and LINEX with Quadratic Loss Function in Bayesian Dynamic Linear Models: Forecasting of Real Price of Oil
title_short Comparison of Kullback-Leibler, Hellinger and LINEX with Quadratic Loss Function in Bayesian Dynamic Linear Models: Forecasting of Real Price of Oil
title_sort comparison of kullback leibler hellinger and linex with quadratic loss function in bayesian dynamic linear models forecasting of real price of oil
topic dynamic linear model
linex
kullback-leibler
helliger
quadratic loss function
oil price forecasting
url https://ijbds.usb.ac.ir/article_5435_5b772c23d8535ac41801b8413bd45b28.pdf
work_keys_str_mv AT esmaielabounoori comparisonofkullbackleiblerhellingerandlinexwithquadraticlossfunctioninbayesiandynamiclinearmodelsforecastingofrealpriceofoil
AT mohsenaliheydari comparisonofkullbackleiblerhellingerandlinexwithquadraticlossfunctioninbayesiandynamiclinearmodelsforecastingofrealpriceofoil