Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
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Estimations of the skew parameter in a skewed double power function distribution

  • Kang, Jun-Ho (Department of Special Physical Education, Kaya University) ;
  • Lee, Chang-Soo (Department of Flight Operation, Kyungwoon University)
  • Received : 2013.04.22
  • Accepted : 2013.06.03
  • Published : 2013.07.31
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Abstract

A skewed double power function distribution is defined by a double power function distribution. We shall evaluate the coefficient of the skewness of a skewed double power function distribution. We shall obtain an approximate maximum likelihood estimator (MLE) and a moment estimator (MME) of the skew parameter in the skewed double power function distribution, and compare simulated mean squared errors for those estimators. And we shall compare simulated MSEs of two proposed reliability estimators in two independent skewed double power function distributions with different skew parameters.

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References

  1. Ali. M. M. and Woo, J. (2006). Skew-symmetric reflected distributions. Soochow Journal of Mathematics, 32, 233-240.
  2. Azzalini, A. (1985). A class of distributions which includes the normal ones. Scandinavian Journal of Statistics, 12, 171-178.
  3. Azzalini, A. and Capitanio, A. (1999). The multivariate skewed normal distribution. Journal of Royal Statistics Society B, 61, 579-605. https://doi.org/10.1111/1467-9868.00194
  4. Balakrishnan, N. and Cohen, A. C. (1991). Order statistics and inference, Academic Press, Inc., New York.
  5. Deitel, H. M. and Deitel, P. J. (2003). C++ how to program, 4th ed., Prentice Hall, New Jersey.
  6. Gradshteyn, I. S. and Ryzhik, I. M. (1965). Tables of integral, series, and products, Academic Press, New York.
  7. Han, J. T. and Kang, S. B. (2006). Estimation for the Rayleigh distribution with known parameter under multiple type-II censoring. Journal of the Korean Data & Information Science Society, 17, 933-943.
  8. Johnson, N. L., Kotz, S. and Balakrishnan, N. (1994). Continuous univariate distributions, John Wiley & Sons, New York.
  9. Lee, J. C. and Lee, C. S. (2012). An approximate maximim likelihood estimator in a weight exponential distribution. Journal of the Korean Data & Information Sciences Society, 23, 219-225. https://doi.org/10.7465/jkdi.2012.23.1.219
  10. McCool, J. I. (1991). Inference on P(X < Y ) in theWeibull case. Communications in Statistics-Simulations, 20, 129-148. https://doi.org/10.1080/03610919108812944
  11. 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.
  12. Son, H. and Woo, J. (2009). Estimations in a skewed uniform distribution. Journal of the Korean Data & Information Science Society, 20, 733-740.
  13. Woo, J. (2006). Reliability P(Y < X), ratio X=(X + Y ), and skewed-symmetric distribution of two independent random variables. Proceedings of the Korean Data & Information Science Society, 37-42.
  14. 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.

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