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ARIMA + GARCH + Bootstrap forecasting method applied to the airline industry

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  • Nieto, María Rosa
  • Carmona-Benítez, Rafael Bernardo

Abstract

•The ARIMA + GARCH + Bootstrap method is proposed to forecast pax in the air transport industry.•Pax is analyzed and represented by conditional mean, variance, and the distribution of the error.•The performance of the proposed method is compared to 4 of the most used forecasting methods in the air transport industry.•The performance of the ARIMA + GARCH + Bootstrap method is validated by using two tests of superior ability.

Suggested Citation

  • Nieto, María Rosa & Carmona-Benítez, Rafael Bernardo, 2018. "ARIMA + GARCH + Bootstrap forecasting method applied to the airline industry," Journal of Air Transport Management, Elsevier, vol. 71(C), pages 1-8.
    • Handle: RePEc:eee:jaitra:v:71:y:2018:i:c:p:1-8
    DOI: 10.1016/j.jairtraman.2018.05.007
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    1. Moraux, Franck, 2011. "How valuable is your VaR? Large sample confidence intervals for normal VaR," Journal of Risk Management in Financial Institutions, Henry Stewart Publications, vol. 4(2), pages 189-200, March.
    2. Hang Chan, Ngai & Deng, Shi-Jie & Peng, Liang & Xia, Zhendong, 2007. "Interval estimation of value-at-risk based on GARCH models with heavy-tailed innovations," Journal of Econometrics, Elsevier, vol. 137(2), pages 556-576, April.
    3. Peter R. Winters, 1960. "Forecasting Sales by Exponentially Weighted Moving Averages," Management Science, INFORMS, vol. 6(3), pages 324-342, April.
    4. Hsu, Chaug-Ing & Wen, Yuh-Horng, 2000. "Application of Grey theory and multiobjective programming towards airline network design," European Journal of Operational Research, Elsevier, vol. 127(1), pages 44-68, November.
    5. Hsu, Chaug-Ing & Wen, Yuh-Horng, 2002. "Reliability evaluation for airline network design in response to fluctuation in passenger demand," Omega, Elsevier, vol. 30(3), pages 197-213, June.
    6. Hansen, Peter Reinhard, 2005. "A Test for Superior Predictive Ability," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 365-380, October.
    7. Rob J. Hyndman & Andrey V. Kostenko, 2007. "Minimum Sample Size requirements for Seasonal Forecasting Models," Foresight: The International Journal of Applied Forecasting, International Institute of Forecasters, issue 6, pages 12-15, Spring.
    8. Clemen, Robert T., 1989. "Combining forecasts: A review and annotated bibliography," International Journal of Forecasting, Elsevier, vol. 5(4), pages 559-583.
    9. Rafael Bernardo Carmona-Benítez & María Rosa Nieto, 2017. "Comparison of bootstrap estimation intervals to forecast arithmetic mean and median air passenger demand," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(7), pages 1211-1224, May.
    10. De Gooijer, Jan G. & Hyndman, Rob J., 2006. "25 years of time series forecasting," International Journal of Forecasting, Elsevier, vol. 22(3), pages 443-473.
    11. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    12. Carson, Richard T. & Cenesizoglu, Tolga & Parker, Roger, 2011. "Forecasting (aggregate) demand for US commercial air travel," International Journal of Forecasting, Elsevier, vol. 27(3), pages 923-941, July.
    13. Diebold, Francis X & Mariano, Roberto S, 2002. "Comparing Predictive Accuracy," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 134-144, January.
    14. Grubb, Howard & Mason, Alexina, 2001. "Long lead-time forecasting of UK air passengers by Holt-Winters methods with damped trend," International Journal of Forecasting, Elsevier, vol. 17(1), pages 71-82.
    15. Santiago Gamba-Santamaria & Oscar Fernando Jaulin-Mendez & Luis Fernando Melo-Velandia & Carlos Andrés Quicazán-Moreno, 2016. "Comparison of methods for estimating the uncertainty of value at risk," Studies in Economics and Finance, Emerald Group Publishing Limited, vol. 33(4), pages 595-624, October.
    16. Pascual, Lorenzo & Romo, Juan & Ruiz, Esther, 2006. "Bootstrap prediction for returns and volatilities in GARCH models," Computational Statistics & Data Analysis, Elsevier, vol. 50(9), pages 2293-2312, May.
    17. Grosche, Tobias & Rothlauf, Franz & Heinzl, Armin, 2007. "Gravity models for airline passenger volume estimation," Journal of Air Transport Management, Elsevier, vol. 13(4), pages 175-183.
    18. Hakim, Md Mahbubul & Merkert, Rico, 2016. "The causal relationship between air transport and economic growth: Empirical evidence from South Asia," Journal of Transport Geography, Elsevier, vol. 56(C), pages 120-127.
    19. Matei, Marius, 2009. "Assessing Volatility Forecasting Models: Why GARCH Models Take the Lead," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(4), pages 42-65, December.
    20. Samagaio, António & Wolters, Mark, 2010. "Comparative analysis of government forecasts for the Lisbon Airport," Journal of Air Transport Management, Elsevier, vol. 16(4), pages 213-217.
    21. Dantas, Tiago Mendes & Cyrino Oliveira, Fernando Luiz & Varela Repolho, Hugo Miguel, 2017. "Air transportation demand forecast through Bagging Holt Winters methods," Journal of Air Transport Management, Elsevier, vol. 59(C), pages 116-123.
    22. Hsu, Chaug-Ing & Wen, Yuh-Horng, 2003. "Determining flight frequencies on an airline network with demand-supply interactions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 39(6), pages 417-441, November.
    23. J. D. Bermudez & J. V. Segura & E. Vercher, 2007. "Holt-Winters Forecasting: An Alternative Formulation Applied to UK Air Passenger Data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 34(9), pages 1075-1090.
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    Cited by:

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    4. Shaban, I.A. & Wang, Z.X. & Chan, F.T.S. & Chung, S.H. & Eltoukhy, A.E.E. & Qu, T., 2019. "Price setting for extra-baggage service for a combination carrier using the newsvendor setup," Journal of Air Transport Management, Elsevier, vol. 78(C), pages 1-14.
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    6. Wang, Sen & Gao, Yi, 2021. "A literature review and citation analyses of air travel demand studies published between 2010 and 2020," Journal of Air Transport Management, Elsevier, vol. 97(C).
    7. Seungju Nam & Sejong Choi & Georgia Edell & Amartya De & Woon-Kyung Song, 2023. "Comparative Analysis of the Aviation Maintenance, Repair, and Overhaul (MRO) Industry in Northeast Asian Countries: A Suggestion for the Development of Korea’s MRO Industry," Sustainability, MDPI, vol. 15(2), pages 1-15, January.
    8. Wang, Zhanwei & Song, Woon-Kyung, 2020. "Sustainable airport development with performance evaluation forecasts: A case study of 12 Asian airports," Journal of Air Transport Management, Elsevier, vol. 89(C).
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