Skip to main content
Log in

Panel Interval-Valued Data Nonlinear Regression Models and Applications

  • Published:
Computational Economics Aims and scope Submit manuscript

Abstract

Panel data models have become increasingly popular in economic research and data analysis. Considering the uncertainty and variability of panel data, based on support vector regression, we propose robust estimations of some fixed effects panel interval-valued data models: nonlinear model, a special case of nonlinear model and nonlinear model with mathematical coherence. Monte Carlo simulations are used to evaluate the performance and robustness of our proposed models. The proposed models are applied to real datasets for stock price prediction, and experimental results demonstrate the excellent fitting and forecasting performance of our proposed models.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

Data availability

The authors confirm that all data generated or analyzed during this study are included in this published article and its supplementary information files.

References

  • An, W., Angulo, C., & Sun, Y. (2008). Support vector regression with interval-input interval-output. International Journal of Computational Intelligence Systems, 1, 299–303.

    Google Scholar 

  • Beniwal, M., Singh, A., & Kumar, N. (2023). Forecasting long-term stock prices of global indices: A forward-validating genetic algorithm optimization approach for support vector regression. Applied Soft Computing, 145, 110566.

    Article  Google Scholar 

  • Beyaztas, B. H., & Bandyopadhyay, S. (2020). Robust estimation for linear panel data models. Statistics in Medicine, 39(29), 4421–4438.

    Article  Google Scholar 

  • Billard, L., & Diday, E. (2000). Regression analysis for interval-valued data. In Data Analysis, Classification, and Related Methods, Studies in Classification, Data Analysis, and Knowledge Organization (pp. 369–374).

  • Billard, L., Diday, E., & Bock, H. (2002). Symbolic regression analysis. Classification, clustering, and data analysis, studies in classification, data analysis, and knowledge organization (pp. 281–288). Springer.

  • Bock, H., & Diday, E. (2000). Analysis of symbolic data. Springer.

  • Carvalho, F., Neto, E., & Kassio, C. (2021). A clusterwise nonlinear regression algorithm for interval-valued data. Information Sciences, 555, 357–385.

    Article  Google Scholar 

  • Dash, R., Nguyen, T., Cengiz, K., & Sharma, A. (2021). Fine-tuned support vector regression model for stock predictions. Neural Computing and Applications. https://doi.org/10.1007/s00521-021-05842-w

    Article  Google Scholar 

  • Fagundes, R., Souza, R., & Cysneiros, F. (2013). Robust regression with application to symbolic interval data. Engineering Applications of Artificial Intelligence, 26, 564–573.

    Article  Google Scholar 

  • Gonzalez, R., & Lin, W. (2013). Constrained regression for interval-valued data. Journal of Business and Economic Statistics, 31(4), 473–490.

    Article  Google Scholar 

  • Gonzalez, R., Luo, Y., & Ruiz, E. (2020). Prediction regions for interval valued time series. Journal of Applied Econometrics, 35, 373–390.

    Article  Google Scholar 

  • Ji, A., Zhang, J., He, X., & Zhang, Y. (2022). Fixed effects panel interval-valued data models and applications. Knowledge-Based Systems, 237, 107798.

    Article  Google Scholar 

  • Liao, S., Dai, S., & Kuosmanen, T. (2023). Convex support vector regression. European Journal of Operational Research, 30, 295–315.

    Google Scholar 

  • Lin, L., Chien, H., & Lee, S. (2021). Symbolic interval-valued data analysis for time series based on auto-interval-regressive models. Statistical Methods and Applications, 30, 295–315.

    Article  Google Scholar 

  • Manski, C., & Tamer, E. (2002). Inference on regressions with interval data on a regressor or outcome. Econometrica, 70, 519–546.

    Article  Google Scholar 

  • Martin, R., & Yohai, V. (1986). Influence functionals for time series. The Annals of Statistics, 14(3), 781–818.

    Google Scholar 

  • Neto, E., & Carvalho, F. (2008). Nonlinear regression model to symbolic interval-valued variables. IEEE International Conference on Systems, 1, 1257–1252.

    Google Scholar 

  • Neto, E., & Carvalho, F. (2010). Constrained linear regression models for symbolic interval-valued variables. Computational Statistics and Data Analysis, 54(2), 333–347.

    Article  Google Scholar 

  • Neto, E., & Carvalho, F. (2017). Nonlinear regression applied to interval-valued data. Pattern Analysis and Applications, 20, 809–824.

    Article  Google Scholar 

  • Neto, E., & Carvalho, F. (2018). An exponential-type kernel robust regression model for interval-valued variables. Information Sciences, 454, 419–442.

    Article  Google Scholar 

  • Smola, A., & Scholkopf, B. (2004). A tutorial on support vector regression. Statistics and Computing, 14, 199–222.

    Article  Google Scholar 

  • Sun, Y., Han, A., Hong, Y., & Wang, S. (2018). Threshold autoregressive models for interval-valued time series data. Journal of Econometrics, 206, 414–446.

    Article  Google Scholar 

  • Syriopoulos, T., Tsatsaronis, M., & Karamanos, I. (2021). Support vector machine algorithms: An application to ship price forecasting. Computational Economics, 57, 55–87.

    Article  Google Scholar 

  • Tao, L., Zhang, Y., & Tian, M. (2019). Quantile regression for dynamic panel data using Hausman–Taylor instrumental variables. Computational Economics, 53, 1033–1069.

    Article  Google Scholar 

  • Teng S. (1991). Robust regression analysis. Journal of Dalian University of Technology.

  • Vapnik, V. (1998). Statistical learning theory. Wiley.

  • Vapnik, V., Golowich, S., & Smola, A. (1996). Support vector method for function approximation, regression estimation, and signal processing. Advances in Neural Information Processing Systems, 9, 281–287.

    Google Scholar 

  • Xiong, T., Li, C., Bao, Y., Hu, Z., & Zhang, L. (2015). A combination method for interval forecasting of agricultural commodity futures prices. Knowledge-Based Systems, 77, 92–102.

    Article  Google Scholar 

  • Zhong, Y., Zhang, Z., & Li, S. (2020). A constrained interval-valued linear regression model: A new heteroscedasticity estimation method. Journal of Systems and Complexity, 33, 2048–2066.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Qing-qing Li.

Ethics declarations

Statements and Declarations

The authors are grateful to the anonymous referees for their careful revision, valuable suggestions, and comments which improved this paper. The authors would like to thank the financial support from Natural Science Foundation Project of Hebei Province (A2022201002). The authors have no conflicts of interest to declare that are relevant to the content of this article.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ji, Ab., Li, Qq. & Zhang, Jj. Panel Interval-Valued Data Nonlinear Regression Models and Applications. Comput Econ (2023). https://doi.org/10.1007/s10614-023-10519-8

Download citation

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10614-023-10519-8

Keywords

Navigation