Journal of the Korean Data and Information Science Society

한국데이터정보과학회 (The Korean Data and Information Science Society)
권호 표지

Notes on a skew-symmetric inverse double Weibull distribution

  • 발행 : 2009.03.31
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

For an inverse double Weibull distribution which is symmetric about zero, we obtain distribution and moment of ratio of independent inverse double Weibull variables, and also obtain the cumulative distribution function and moment of a skew-symmetric inverse double Weibull distribution. And we introduce a skew-symmetric inverse double Weibull generated by a double Weibull distribution.

키워드

참고문헌

  1. Abramowitz, M. and Stegun, I. A. (1973). Handbook of mathematical functions, Dover Publications, Inc., New York.
  2. Ali, M. M. and Woo, J. (2006a). Skew-symmetric reflected distributions. Soochow Journal of Mathematics, 32, 233-340.
  3. Ali, M. M. and Woo, J. (2006b). Distribution of the ratio of generalized uniform variates. Pakistan Journal of Statistics, 22, 11-19.
  4. Ali, M. M., Woo, J. and Pal, M. (2008). Some skew-symmetric reflected distribution. American Journal of Mathematical and Management Sciences, 28, 41-59.
  5. Azzalini, A. (1985). A class of distributions which includes the normal ones. Scandinavian Journal of Statistics, 12, 171-178.
  6. Bowman, K. O. and Shenton, L. R. (1998). Distribution of the ratio of gamma variates. Communications in Statistics-Simulations, 27, 1-19. https://doi.org/10.1080/03610919808813461
  7. Gradshteyn, I. S. and Ryzhik, I. M. (1965). Table of integrals, series, and products, Academic Press, New York.
  8. Johnson, L. N., Kotz, S. and Balakrishnan, N. (1995). Continuous univariate distribution 2, John Wiley & Sons, Inc., New York.
  9. McCool, J. I. (1991). Inference on P(X https://doi.org/10.1080/03610919108812944
  10. Oberhettinger, F. (1974). Tables of Mellin transforms, Springer-Verlag, New York.
  11. Pal, M., Ali, M. M. and Woo, J. (2007). On the ratio of inverted gamma variables. Austrian Journal of Statistics, 36, 153-159.
  12. Pal, M., Ali, M. M. and Woo, J. (2009). Skewed reflected distributions generated by Laplace kernel. Austrian Journal of Statistics, 38, to appear.
  13. Robert, C. (1991). Generalized inverse normal distribution. Statistics and Probability Letters, 11, 37-41. https://doi.org/10.1016/0167-7152(91)90174-P
  14. Rohatgi, V. K. (1976). An introduction to probability theory and mathematical statistics, John Wiley, New York.
  15. Son, H. (2009). Estimation of a skewed parameter in a skew-symmetric re ected Weibull distribution, Unpublished manuscript.
  16. Son, H. and Woo, J. (2007). The approximate MLE in a skew-symmetric Laplace distribution. Journal of the Korean Data & Information Science Society, 18, 573-584.
  17. Woo, J. (2006). Reliability P(Y
  18. Woo, J. (2007). Reliability in a half-triangle distribution and a skew-symmetric distribution. Journal of the Korean Data & Information Science Society, 18, 543-552.