IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i19p4022-d1245194.html
   My bibliography  Save this article

An Exponential Autoregressive Time Series Model for Complex Data

Author

Listed:
  • Gholamreza Hesamian

    (Department of Statistics, Payame Noor University, Tehran 19395-3697, Iran)

  • Faezeh Torkian

    (Department of Statistics, Payame Noor University, Tehran 19395-3697, Iran)

  • Arne Johannssen

    (Faculty of Business Administration, University of Hamburg, 20146 Hamburg, Germany)

  • Nataliya Chukhrova

    (Faculty of Business Administration, University of Hamburg, 20146 Hamburg, Germany)

Abstract

In this paper, an exponential autoregressive model for complex time series data is presented. As for estimating the parameters of this nonlinear model, a three-step procedure based on quantile methods is proposed. This quantile-based estimation technique has the benefit of being more robust compared to least/absolute squares. The performance of the introduced exponential autoregressive model is evaluated by means of four established goodness-of-fit criteria. The practical utility of the novel time series model is showcased through a comparative analysis involving simulation studies and real-world data illustrations.

Suggested Citation

  • Gholamreza Hesamian & Faezeh Torkian & Arne Johannssen & Nataliya Chukhrova, 2023. "An Exponential Autoregressive Time Series Model for Complex Data," Mathematics, MDPI, vol. 11(19), pages 1-12, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4022-:d:1245194
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/19/4022/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/19/4022/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Gholamreza Hesamian & Arne Johannssen & Nataliya Chukhrova, 2023. "A Three-Stage Nonparametric Kernel-Based Time Series Model Based on Fuzzy Data," Mathematics, MDPI, vol. 11(13), pages 1-17, June.
    2. Coppi, Renato & D'Urso, Pierpaolo & Giordani, Paolo & Santoro, Adriana, 2006. "Least squares estimation of a linear regression model with LR fuzzy response," Computational Statistics & Data Analysis, Elsevier, vol. 51(1), pages 267-286, November.
    3. Chao Wang & Heng Liu & Jian-Feng Yao & Richard A. Davis & Wai Keung Li, 2014. "Self-Excited Threshold Poisson Autoregression," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 109(506), pages 777-787, June.
    4. Torbat, Sheida & Khashei, Mehdi & Bijari, Mehdi, 2018. "A hybrid probabilistic fuzzy ARIMA model for consumption forecasting in commodity markets," Economic Analysis and Policy, Elsevier, vol. 58(C), pages 22-31.
    5. Granger, Clive W. J. & Terasvirta, Timo, 1993. "Modelling Non-Linear Economic Relationships," OUP Catalogue, Oxford University Press, number 9780198773207.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gholamreza Hesamian & Arne Johannssen & Nataliya Chukhrova, 2023. "A Three-Stage Nonparametric Kernel-Based Time Series Model Based on Fuzzy Data," Mathematics, MDPI, vol. 11(13), pages 1-17, June.
    2. Khémiri, Wafa & Noubbigh, Hédi, 2020. "Size-threshold effect in debt-firm performance nexus in the sub-Saharan region: A Panel Smooth Transition Regression approach," The Quarterly Review of Economics and Finance, Elsevier, vol. 76(C), pages 335-344.
    3. Carlo Altavilla & Paul De Grauwe, 2010. "Forecasting and combining competing models of exchange rate determination," Applied Economics, Taylor & Francis Journals, vol. 42(27), pages 3455-3480.
    4. Alex Cukierman & Anton Muscatelli, 2001. "Do Central Banks have Precautionary Demands for Expansions and for Price Stability?," Working Papers 2002_4, Business School - Economics, University of Glasgow, revised Mar 2002.
    5. Anton Muscatelli & Patrizio Tirelli & Carmine Trecroci, 2001. "Monetary and Fiscal Policy Interactions over the Cycle: Some Empirical Evidence," Working Papers 2002_13, Business School - Economics, University of Glasgow, revised Oct 2002.
    6. Sibel Cengiz & Afsin Sahin, 2014. "Modelling nonlinear behavior of labor force participation rate by STAR: An application for Turkey," International Journal of Business and Economic Sciences Applied Research (IJBESAR), International Hellenic University (IHU), Kavala Campus, Greece (formerly Eastern Macedonia and Thrace Institute of Technology - EMaTTech), vol. 7(1), pages 113-127, April.
    7. repec:wyi:journl:002087 is not listed on IDEAS
    8. Bonciani, Dario, 2014. "Uncertainty shocks: it's a matter of habit," MPRA Paper 59370, University Library of Munich, Germany.
    9. Mohamed CHIKHI & Claude DIEBOLT, 2022. "Testing the weak form efficiency of the French ETF market with the LSTAR-ANLSTGARCH approach using a semiparametric estimation," Eastern Journal of European Studies, Centre for European Studies, Alexandru Ioan Cuza University, vol. 13, pages 228-253, June.
    10. Bergin, Paul R. & Glick, Reuven & Wu, Jyh-Lin, 2017. "“Conditional PPP” and real exchange rate convergence in the euro area," Journal of International Money and Finance, Elsevier, vol. 73(PA), pages 78-92.
    11. Magdalena Osińska & Tadeusz Kufel & Marcin Błażejowski & Paweł Kufel, 2020. "Modeling mechanism of economic growth using threshold autoregression models," Empirical Economics, Springer, vol. 58(3), pages 1381-1430, March.
    12. Liew, Venus Khim-Sen & Baharumshah, Ahmad Zubaidi & Habibullah, Muzafar Shah & Midi, Habshah, 2008. "Monetary exchange rate model: supportive evidence from nonlinear testing procedures," MPRA Paper 7293, University Library of Munich, Germany.
    13. Sandra Eickmeier & Norbert Metiu & Esteban Prieto, 2016. "Time-varying volatility, financial intermediation and monetary policy," CAMA Working Papers 2016-32, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    14. Gengnan Chiang & Chin-Chi Liu & Hui-Hsuan Liu, 2022. "The Threshold Effect of Regulatory Quality on the Relationship between Financial Development and Economic Growth: Evidence from Asian Countries," Advances in Management and Applied Economics, SCIENPRESS Ltd, vol. 12(1), pages 1-6.
    15. Riera-Crichton, Daniel & Vegh, Carlos A. & Vuletin, Guillermo, 2015. "Procyclical and countercyclical fiscal multipliers: Evidence from OECD countries," Journal of International Money and Finance, Elsevier, vol. 52(C), pages 15-31.
    16. Jon Michel, 2020. "The Limiting Distribution of a Non‐Stationary Integer Valued GARCH(1,1) Process," Journal of Time Series Analysis, Wiley Blackwell, vol. 41(2), pages 351-356, March.
    17. Stefano Puddu, 2013. "Real Sector and Banking System: Real and Feedback Effects. A Non-Linear VAR Approach," IRENE Working Papers 13-01, IRENE Institute of Economic Research.
    18. Theodore Panagiotidis, 2010. "Market efficiency and the Euro: the case of the Athens stock exchange," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 37(3), pages 237-251, July.
    19. Ana Venâncio & João Jorge, 2022. "The role of accelerator programmes on the capital structure of start-ups," Small Business Economics, Springer, vol. 59(3), pages 1143-1167, October.
    20. Rossouw, Stephanie & Greyling, Talita & Adhikari, Tamanna & Morrison, Phillip S., 2020. "Markov switching models for happiness during a pandemic: The New-Zealand experience," GLO Discussion Paper Series 573, Global Labor Organization (GLO).
    21. Hao FANG & Yang-Cheng Lu & Hwey-Yun Yau & Yen-Hsien Lee, 2013. "Stock Characteristics Herded By Foreign Investors With Higher Abnormal Returns In The Taiwan Stock Market," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(4), pages 232-245, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4022-:d:1245194. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.