DOI QR코드

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A Family of Extended NQD Bivariate Distributions with Continuous Marginals

  • Ryu, Dae-Hee (Department of Computer Science, ChungWoon University)
  • 투고 : 20110500
  • 심사 : 20110900
  • 발행 : 2012.01.30

초록

In this paper we define extended negative quadrant dependence which is weaker negative quadrant dependence and show conditions for having extended negative quadrant dependence property. We also derive generalized Farlie-Gumbel-Morgenstern uniform distributions that possess the extended quadrant dependence property.

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참고문헌

  1. Farlie, D. J. G. (1960). The performance of some correlation coefficient for a general bivariate distribution, Biometrika, 47, 307-323. https://doi.org/10.1093/biomet/47.3-4.307
  2. Joag-Dev, K. and Proschan, F. (1983). Negative association of random variables with applications, Annals of Statistics, 11, 286-295. https://doi.org/10.1214/aos/1176346079
  3. Johnson, N. L. and Kotz, S. (1972). Distributions in Statistics: Continuous Multivariate Distributions, Wiley, New York.
  4. Ko, B. and Tang, Q. (2008). Sums of dependent nonnegative random variables with subexponential tails, Journal of Applied Probability, 45, 85-94. https://doi.org/10.1239/jap/1208358953
  5. Lai, C. D. and Xie, M. (2000). A new family of positive quadrant dependent bivariate distributions, Statistics & Probability Letters, 46, 359-364. https://doi.org/10.1016/S0167-7152(99)00122-4
  6. Lehmann, E. L. (1966). Some concepts of dependence, The Annals of Mathematical Statistics, 37, 1137-1153. https://doi.org/10.1214/aoms/1177699260
  7. Liu, L. (2009). Precise large deviations for dependent random variables with heavy tails, Statistics & Probability Letters, 99, 1290-1298.
  8. Nelsen, R. B. (2006). An introduction to Copulas, 2nd, Springer, New York.