The Problem of the SARIMA Model Selection for the Forecasting Purpose

The goal of the work is to assess the ability to identify the proper models for the time series generated by SARIMA processes with different parameter values and to analyze the accuracy of the forecasts based on the selected models. The work is based on the simulation study. To this end, a new autom...

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Main Authors: Josef Arlt, Peter Trcka, Markéta Arltová
Format: Article
Language:English
Published: Czech Statistical Office 2017-12-01
Series:Statistika: Statistics and Economy Journal
Subjects:
Online Access:https://www.czso.cz/documents/10180/45606529/32019717q4025.pdf/789389d1-539e-41da-8d41-56bd5e8573be?version=1.0
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author Josef Arlt
Peter Trcka
Markéta Arltová
author_facet Josef Arlt
Peter Trcka
Markéta Arltová
author_sort Josef Arlt
collection DOAJ
description The goal of the work is to assess the ability to identify the proper models for the time series generated by SARIMA processes with different parameter values and to analyze the accuracy of the forecasts based on the selected models. The work is based on the simulation study. To this end, a new automatic SARIMA modelling method is proposed. Other competing automatic SARIMA modelling procedures are applied as well and the results are compared. The important question to which the reference should be made is the relation of the magnitude of the SARIMA process parameters i. e. the size of the systematic part of the process and the ability to identify a proper model. Another issue addressed herein is the relationship between the quality of the identified model and the accuracy of forecasts achieved by its application. The simulation study leads to the results that can be generalized to most empirical analyses in various research areas.
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spelling doaj.art-738f3fbe14b045dca1ce7d6ce61a17a12022-12-21T17:30:46ZengCzech Statistical OfficeStatistika: Statistics and Economy Journal0322-788X1804-87652017-12-019742532The Problem of the SARIMA Model Selection for the Forecasting PurposeJosef Arlt0Peter Trcka1Markéta Arltová2University of Economics, Prague, Czech RepublicUniversity of Economics, Prague, Czech RepublicUniversity of Economics, Prague, Czech RepublicThe goal of the work is to assess the ability to identify the proper models for the time series generated by SARIMA processes with different parameter values and to analyze the accuracy of the forecasts based on the selected models. The work is based on the simulation study. To this end, a new automatic SARIMA modelling method is proposed. Other competing automatic SARIMA modelling procedures are applied as well and the results are compared. The important question to which the reference should be made is the relation of the magnitude of the SARIMA process parameters i. e. the size of the systematic part of the process and the ability to identify a proper model. Another issue addressed herein is the relationship between the quality of the identified model and the accuracy of forecasts achieved by its application. The simulation study leads to the results that can be generalized to most empirical analyses in various research areas.https://www.czso.cz/documents/10180/45606529/32019717q4025.pdf/789389d1-539e-41da-8d41-56bd5e8573be?version=1.0SARIMAsimulationidentification of modelforecasting
spellingShingle Josef Arlt
Peter Trcka
Markéta Arltová
The Problem of the SARIMA Model Selection for the Forecasting Purpose
Statistika: Statistics and Economy Journal
SARIMA
simulation
identification of model
forecasting
title The Problem of the SARIMA Model Selection for the Forecasting Purpose
title_full The Problem of the SARIMA Model Selection for the Forecasting Purpose
title_fullStr The Problem of the SARIMA Model Selection for the Forecasting Purpose
title_full_unstemmed The Problem of the SARIMA Model Selection for the Forecasting Purpose
title_short The Problem of the SARIMA Model Selection for the Forecasting Purpose
title_sort problem of the sarima model selection for the forecasting purpose
topic SARIMA
simulation
identification of model
forecasting
url https://www.czso.cz/documents/10180/45606529/32019717q4025.pdf/789389d1-539e-41da-8d41-56bd5e8573be?version=1.0
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