Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
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Reliability and ratio in exponentiated complementary power function distribution

  • Moon, Yeung-Gil (Department of Tourism Quality Management, Kangwon Tourism College) ;
  • Lee, Chang-Soo (Department of of Mobile Engineering, Kyungwoon University) ;
  • Ryu, Se-Gi (Gyeong-An Girl's Information High School)
  • Published : 2009.09.30
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Abstract

As we shall dene an exponentiated complementary power function distribution, we shall consider moments, hazard rate, and inference for parameter in the distribution. And we shall consider an inference of the reliability and distributions for the quotient and the ratio in two independent exponentiated complementary power function random variables.

Keywords

References

  1. Arnold, B. C. and Press, S. J. (1983). Bayes inference for Pareto population. Journal of Econometrics, 21, 287-306. https://doi.org/10.1016/0304-4076(83)90047-7
  2. Bowman, K. O. and Shenton, L. R. (1998). Distribution of the ratio of gamma variates. Communication in Statistics-Simulations , 27, 1-19. https://doi.org/10.1080/03610919808813461
  3. Gradshteyn, I. S. and Ryzhik, I. M. (1965). Table of integrals, series, and product, Academic Press, New York.
  4. Gupta, R. C., Gupta, R. D. and Gupta, P. L. (1998). Modelling failure time data by Lehman alternative. Communication in Statistics-Theory & Methods, 27, 887-904. https://doi.org/10.1080/03610929808832134
  5. Gupta, R. D. and Kundu, D. (2001). Exponentiated exponential family: An alternative to gamma and Weibull. Biometrical Journal, 43, 117-130. https://doi.org/10.1002/1521-4036(200102)43:1<117::AID-BIMJ117>3.0.CO;2-R
  6. Lewin, T. (1972). Estimation of the tail of Pareto law. Scandinavisk Aktuarietidskrift, 55, 170-178.
  7. Malik, H. J. (1967). Exact moments of order statistics for a power function population. Scandinavisk Aktuarietidskrift , 50, 64-69.
  8. McCool, J. I. (1991). Inference on P(X https://doi.org/10.1080/03610919108812944
  9. Moon, Y. G. and Lee, C. S. (2009). Inference on the reliability P(Y
  10. Moothatu, T. S. (1984). Characterizations of power function and Pareto distribution in terms of their Lorenz curves. Research Review, 3, 118-123.
  11. Rider, P. R. (1964). Distribution of product and quotient of maximum values in samples from a power function population. Journal of the American Statistical Association, 59, 877-880. https://doi.org/10.2307/2283106
  12. Rohatgi, V. K. (1976). An introduction to probability theory and mathematical statistics, John Wiley & Sons, New York.
  13. Saunders, S. C. (2007). Reliability, life testing, and prediction of service lives, Springer, New York.
  14. Woo, J. (2006). Reliability P(Y
  15. Woo, J. (2008). Estimating reliability and distribution of ratio in two independent different variates. Journal of the Korean Data & Information Science Society, 19, 967-977.