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Asymmetric Effect with Quantile Regression for Interval-Valued Variables

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 753))

Abstract

In this paper, we propose a quantile regression with interval valued data using a convex combination method. The model we propose generalizes series of existing models, say typically with the center method. Three estimation techniques consisting EM algorithm, Least squares, Lasso penalty are presented to estimate the unknown parameters of our model. A series of Monte Carlo experiments are conducted to assess the performance of our proposed model. The results support our theoretical properties. Finally, we apply our model to empirical data in order to show the usefulness of the proposed model. The results imply that the EM algorithm provides a best fit estimation for our data set and captures the effect of oil differently across various quantile levels.

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References

  1. Arroyo, J., Espínola, R., Maté, C.: Different approaches to forecast interval time series: a comparison in finance. Comput. Econ. 37(2), 169–191 (2011)

    Article  MATH  Google Scholar 

  2. Arroyo, J., Gonzalez-Rivera, G., Mate, C.: Forecasting with interval and histogram data some financial applications. In: Ullahand, A., Giles, D. (eds.) Handbook of Empirical Economics and Finance, pp. 247–280. Chapman and Hall (2011)

    Google Scholar 

  3. Billard, L., Diday, E.: Regression analysis for interval-valued data. In: Data Analysis, Classification and Related Methods, Proceedings of the Seventh Conference of the International Federation of Classification Societies (IFCS 2000), pp. 369–374. Springer, Belgium (2000)

    Google Scholar 

  4. Billard, L., Diday, E.: Symbolic regression analysis. In: Proceedings of the Eighteenth Conference of the International Federation of Classification Societies (IFCS 2002), Classification, Clustering and Data Analysis, pp. 281–288. Springer, Poland (2002)

    Google Scholar 

  5. Chanaim, S., Sriboonchitta, S., Rungruang, C.: A convex combination method for linear regression with interval data. In: Proceedings of the 5th International Symposium on Integrated Uncertainty in Knowledge Modelling and Decision Making, IUKM 2016, Da Nang, Vietnam, 30 November–2 December 2016, pp. 469–480. Springer (2016)

    Google Scholar 

  6. Giordani, P.: Linear regression analysis for interval-valued data based on the Lasso technique. Technical report, 6 (2011)

    Google Scholar 

  7. Gonzalez-Rivera, G., Lin, W.: Interval-valued Time Series: Model Estimation based on Order Statistics (No. 201429) (2014)

    Google Scholar 

  8. Koenker, R.W., Bassett Jr., G.: Tests of linear hypotheses and I1 estimation. Econometrica Econometric Soc. 50(1), 43–61 (1982)

    Article  MATH  Google Scholar 

  9. Koenker, R.: Quantile Regression (No. 38). Cambridge University Press (2005)

    Google Scholar 

  10. Lima-Neto, E.A., De Carvalho, F.A.T.: Constrained linear regression models for symbolic interval-valued variables. Comput. Stat. Data Anal. 54, 333–347 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  11. Piamsuwannakit, S., Autchariyapanitkul, K., Sriboonchitta, S., Ouncharoen, R.: Capital asset pricing model with interval data. In: Integrated Uncertainty in Knowledge Modelling and Decision Making, pp. 163–170. Springer (2015)

    Google Scholar 

  12. Phochanachan, P., Pastpipatkul, P., Yamaka, W., Sriboonchitta, S.: Threshold regression for modeling symbolic interval data. Int. J. Appl. Bus. Econ. Res. 15(7), 195–207 (2017)

    Google Scholar 

  13. Reed, C., Yu, K.: A Partially collapsed Gibbs sampler for Bayesian quantile regression (2009)

    Google Scholar 

  14. Rodrigues, P.M., Salish, N.: Modeling and forecasting interval time series with threshold models. Adv. Data Anal. Classif. 9(1), 41–57 (2015)

    Article  MathSciNet  Google Scholar 

  15. Tibshirani, R.J.: Regression shrinkage and selection via the lasso. J. Roy. Statist. Soc. Ser. B 58, 267–288 (1996)

    MathSciNet  MATH  Google Scholar 

  16. Tibprasorn, P., Khiewngamdee, C., Yamaka, W., Sriboonchitta, S.: Estimating efficiency of stock return with interval data. In: Robustness in Econometrics, pp. 667–678. Springer (2017)

    Google Scholar 

  17. Waldmann, E., Kneib, T.: Bayesian bivariate quantile regression. Stat. Model. (2014). 1471082X14551247

    Google Scholar 

  18. Wu, Y., Liu, Y.: Variable selection in quantile regression. Stat. Sin. 19, 801–817 (2009)

    MathSciNet  MATH  Google Scholar 

  19. Yu, K., Moyeed, R.A.: Bayesian quantile regression. Stat. Probab. Lett. 54(4), 437–447 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  20. Zhou, Y.H., Ni, Z.X., Li, Y.: Quantile regression via the EM algorithm. Commun. Stat. Simul. Comput. 43(10), 2162–2172 (2014)

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Teerawut Teetranont .

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Teetranont, T., Yamaka, W., Sriboonchitta, S. (2018). Asymmetric Effect with Quantile Regression for Interval-Valued Variables. In: Kreinovich, V., Sriboonchitta, S., Chakpitak, N. (eds) Predictive Econometrics and Big Data. TES 2018. Studies in Computational Intelligence, vol 753. Springer, Cham. https://doi.org/10.1007/978-3-319-70942-0_44

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  • DOI: https://doi.org/10.1007/978-3-319-70942-0_44

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-70941-3

  • Online ISBN: 978-3-319-70942-0

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