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Articles

A new non-parametric test for testing positive quadrant dependence

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Pages 5090-5098 | Received 24 May 2021, Accepted 15 Sep 2021, Published online: 30 Sep 2021

References

  • Denuit, M., and O. Scaillet. 2004. Nonparametric tests for positive quadrant dependence. Journal of Financial Econometrics 2 (3):422–50. doi:10.1093/jjfinec/nbh017.
  • Embrechts, P., A. McNeil, and D. Straumann. 2000. Correlation and dependency in risk management: Properties and pitfalls. In: Risk management: Value at risk and beyond, ed. M. A. H. Dempster. New York: Cambridge University Press.
  • Frees, E. W., and E. A. Valdez. 1998. Understanding relationships using copulas. North American Actuarial Journal 2 (1):1–25. doi:10.1080/10920277.1998.10595667.
  • Frees, E. W., V. R. Young, and Y. Luo. 2001. Case studies using panel data models. North American Actuarial Journal 5 (4):24–42. doi:10.1080/10920277.2001.10596010.
  • Gijbels, I., M. Omelka, and D. Sznajder. 2010. Positive quadrant dependence tests for copulas. Canadian Journal of Statistics 38 (4):555–81. doi:10.1002/cjs.10088.
  • Janic-Wróblewska, A., W. C. M. Kallenberg, and T. Ledwina. 2004. Detecting positive quadrant dependence and positive function dependence. Insurance: Mathematics and Economics 34 (3):467–87. doi:10.1016/j.insmatheco.2004.03.001.
  • Joag-Dev, 1984. Measures of dependence. In: Handbook of statistics - Nonparametric methods, ed. P. R. Krishnaiah and P. K. Sen, vol. 4, 79–88. New York: North Holland.
  • Kochar, S., and R. Gupta. 1987. Competitors of Kendall-tau test for testing independence against positive quadrant dependence. Biometrika 74 (3):664–66. doi:10.1093/biomet/74.3.664.
  • Lee, A. J. 1990. U-statistics: Theory and practice. Boca Raton: CRC Press.
  • Lehmann, E. L. 1951. Consistency and unbiasedness of certain nonparametric tests. The Annals of Mathematical Statistics 22 (2):165–79. doi:10.1214/aoms/1177729639.
  • Lehmann, E. L. 1966. Some concepts of dependence. The Annals of Mathematical Statistics 37 (5):1137–53. doi:10.1214/aoms/1177699260.
  • Lindley, D. V., and N. D. Singpurwalla. 1986. Multivariate distribution for the life lengths of a system sharing a common environment. Journal of Applied Probability 23 (2):418–31. doi:10.2307/3214184.
  • Scaillet, O. 2005. A Kolmogorov-Smirnov type test for positive quadrant dependence. Canadian Journal of Statistics 33 (3):415–27. doi:10.1002/cjs.5540330307.
  • Tang, C. A., D. Wang, H. El Barmi, and J. M. Tebbs. 2021. Testing for positive quadrant dependence. American Statistician 71:23–30. doi:10.1080/00031305.2019.1607554.
  • Zhang, K. S., J. G. Lin, and P. R. Xu. 2016. A new class of copulas involving geometric distribution: Estimation and applications. Insurance: Mathematics and Economics 66:1–10. doi:10.1016/j.insmatheco.2015.09.008.

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