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Analyzing Relationship between Tourist Arrivals from China and India to Thailand Using Copula Based GARCH and Seasonal Pattern

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Modeling Dependence in Econometrics

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 251))

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Abstract

Chinese and Indian are the emerging tourist markets for Thailand. The two nations have tourism potential and make for interesting on doing a study about their tourism demand that was measure as the number of tourist arrivals. This study analyzed relationship between the tourist arrivals from China and India to Thailand by using the copula based GARCH model and the seasonal pattern. The findings by the copula based GARCH model show that there exists a weak positive dependence between the growth rates of tourist arrivals from China and India to Thailand and that this dependence keeps varying over time. The rotated Joe 180. copula, which can capture the lower (left) tail dependence, is chosen to describe the dependence structure. These mean that the growth rates of the tourist arrivals from China and India show a co-movementwhich is both upward and downward but with weak dependence. The rise or loss of tourism demand from China (India) is slightly correlated by a rise or loss of tourism demand from India (China). These results correspond to the seasonal patterns in which the seasonal pattern of China is in a direction opposite to the seasonal pattern of India in several periods, and the patterns showing a co-movement during some periods. Understanding the relationship between Chinese arrivals and Indian arrivals in each time period, it could contribute to policy implications such as developing the appropriate marketing and promotion strategies to attract other tourist markets as substitutes when we lose the regular tourist markets due to shock effects or low season.

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References

  1. World Tourism Organization. UNWTO Tourism Highlights 2012 Edition. World Tourism Organization (2012), http://dtxtq4w60xqpw.cloudfront.net/sites/all/files/docpdf/unwtohighlights12enlr_1.pdf (accessed February 21, 2013)

  2. Vanhove, N.: The Economics of Tourism Destinations, 2nd edn. Elsevier, Ltd., London (2011)

    Google Scholar 

  3. Department of Tourism of Thailand. Tourist Arrivals in Thailand 2012, Ministry of Tourism and Sports, Thailand (2013), http://www.tourism.go.th/tourism/th/home/tourism.php?id=11 (accessed April 20, 2013)

  4. Chang, C.L., et al.: Modelling and Forecasting tourism from East Asia to Thailand under temporal and spatial aggregation. Mathematics and Computers in Simulation 79, 1730–1744 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  5. Shareef, R., McAleer, M.: Modelling the uncertainty in monthly international tourist arrivals to the Maldives. Tourism Management 28, 23–45 (2007)

    Article  Google Scholar 

  6. Chan, F., et al.: Modelling multivariate international tourism demand and volatility. Tourism Management 26, 459–471 (2005)

    Article  Google Scholar 

  7. Alvarez, G., et al.: Modeling Tourist Arrivals to Spain from the Top Five Source Markets. In: Ekasingh, B., Jintrawet, A., Pratummintra, S. (eds.) Proceedings of the 2nd International Conference on Asian Simulation and Modeling, Chiang Mai, Thailand, pp. 451–457 (2007)

    Google Scholar 

  8. Jang, S.S., Chen, M.H.: Financial portfolio approach to optimal tourist market mixes. Tourism Management 29, 761–770 (2008)

    Article  Google Scholar 

  9. Chen, M.H., et al.: Discovering Optimal Tourist Market Mixes. Journal of Travel Research 50(6), 602–614 (2011)

    Article  Google Scholar 

  10. Sriboonchitta, S., et al.: Modeling volatility and dependency of agricultural price and production indices of Thailand: Static versus time-varying copulas. International Journal of Approximate Reasoning 54(6), 793–808 (2013)

    Article  Google Scholar 

  11. Patton, A.J.: Modelling Asymmetric Exchange Rate Dependence Using the Conditional Copula. Unpublished Discussion paper, University of California (June 2001)

    Google Scholar 

  12. Patton, A.J.: Modelling Asymmetric Exchange Rate Dependence. International Economic Review 47(2), 527–556 (2006)

    Article  MathSciNet  Google Scholar 

  13. Jondeau, E., Rockinger, M.: The Copula-GARCH model of conditional dependencies: An international stock market application. Journal of International Money and Finance 25, 827–853 (2006)

    Article  Google Scholar 

  14. Zhang, H., et al.: An integrated model of tourists’ time use and expenditure behaviour with self-selection based on a fully nested Archimedean copula function. Tourism Management 33, 1562–1573 (2012)

    Article  Google Scholar 

  15. Liu, J., Sriboonchitta, S.: Analysis of Volatility and Dependence between the Tourist Arrivals from China to Thailand and Singapore: A Copula-Based GARCH Approach. In: Huynh, V.N., Kreinovich, V., Sriboonchitta, S., Suriya, K. (eds.) Uncertainty Analysis in Econometrics with Applications. AISC, vol. 200, pp. 285–296. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  16. Bollerslev, T.: Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics 31, 307–327 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  17. Brechmann, E.C., Schepsmeier, U.: Modeling Dependence with C- and D-Vine Copulas: The R Package CDVine. Journal of Statistical Software 52(3), 1–27 (2013)

    Google Scholar 

  18. Sharma, J.K.: Business Statistics Problems and Solutions Dorling Kingdersley, p. 438. (India) Pvt. Ltd. (2010)

    Google Scholar 

  19. Sklar, A.: Fonctions de rpartition n dimensions et leurs marges. Publications de l’Institut de Statistique de L’Université de Paris 8, 229–231 (1959)

    MathSciNet  Google Scholar 

  20. Nelson, R.B.: An Introduction to Copulas, 2nd edn. Springer, New York (2006)

    Google Scholar 

  21. Trivedi, P.K., Zimmer, D.M.: Copula Modeling: An Introduction for Practitioners. Foundations and Trends in Econometrics 1(1), 1–111 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  22. Lee, L.: Generalized econometric models with selectivity. Econometrica 51, 507–512 (1983)

    Article  MathSciNet  MATH  Google Scholar 

  23. Clayton, D.G.: A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence. Biometrika 65, 141–151 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  24. Gumbel, E.J.: Distributions des Valeurs Extremes en Plusieurs Dimensions. Publications de l’Institute de Statistque de l’Université de Paris 9, 171–173 (1960)

    MathSciNet  MATH  Google Scholar 

  25. Joe, H.: Parametric Families of Multivariate Distributions with Given Margins. Journal of Multivariate Analysis 46(2), 262–282 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  26. Frank, M.J.: On the simultaneous associativity of F(x,y) and x + y − F(x,y). Aequationes Math. 19, 194–226 (1979)

    Article  MathSciNet  MATH  Google Scholar 

  27. Fisher, M.: Tailoring copula-based multivariate generalized hyperbolic secant distributions to financial return data: An empirical investigation. Discussion papers, University of Erlangen-Nüremberg, Germany (2003), http://www.statistik.wiso.uni-erlangen.de/forschung/d0047.pdf (accessed January 25, 2013)

  28. Genest, C., et al.: A Semiparametric Estimation Procedure of Dependence Parameters in Multivariate Families of Distributions. Biometrika 82, 543–552 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  29. Akaike, H.: Information Theory and an Extension of the Maximum Likelihood Principle. In: Petrov, B.N., Csaki, F. (eds.) Proceedings of the Second International Symposium on Information Theory, pp. 267–281. Akademiai Kiado, Budapest (1973)

    Google Scholar 

  30. Schwarz, G.: Estimating the Dimension of a Model. The Annals of Statistics 6(2), 461–464 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  31. Vuong, Q.H.: Ratio Tests for Model Selection and Non-Nested Hypotheses. Econometrica 57(2), 307–333 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  32. Clarke, K.A.: A Simple Distribution-Free Test for Nonnested Model Selection. Political Analysis 15(3), 347–363 (2007)

    Article  Google Scholar 

  33. Genest, C., Rivest, L.P.: Statistical Inference Procedures for Bivariate Archimedean Copulas. Journal of the American Statistical Association 88(423), 1034–1043 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  34. Wang, W., Wells, M.T.: Model selection and semiparametric inference for bivariate failure-time data. Journal of the American Statistical Association 95(449), 62–72 (2000)

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Ornanong Puarattanaarunkorn .

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Puarattanaarunkorn, O., Sriboonchitta, S. (2014). Analyzing Relationship between Tourist Arrivals from China and India to Thailand Using Copula Based GARCH and Seasonal Pattern. In: Huynh, VN., Kreinovich, V., Sriboonchitta, S. (eds) Modeling Dependence in Econometrics. Advances in Intelligent Systems and Computing, vol 251. Springer, Cham. https://doi.org/10.1007/978-3-319-03395-2_23

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  • DOI: https://doi.org/10.1007/978-3-319-03395-2_23

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03394-5

  • Online ISBN: 978-3-319-03395-2

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