Reliability and ratio in a right truncated Rayleigh distribution

  • Lee, Jang-Choon (Division of Computer Engineering, Taegu Science College) ;
  • Lee, Chang-Soo (Department of Mobile Engineering, Kyungwoon University)
  • Published : 2010.01.31

Abstract

In this paper, we consider estimators and a condence interval for a reliability in two independent right truncated Rayleigh distributions and consider the density of a ratio in two independent right truncated Rayleigh distributions. And we obtain the density of an estimator for a changing point in the density of a ratio in two independent right truncated Rayleigh distributions.

Keywords

References

  1. Ali, M. M. and Woo, J. (2005). Inference on reliability P(T < X) in the Levy distribution. Mathematical and Computing Modelling, 41, 965-971. https://doi.org/10.1016/j.mcm.2004.06.020
  2. Ali, M, M., Woo, J. and Nadarajah, S. (2005). On the ration X=(X+Y) for the power function distribution. Pakistan Journal of Statistics, 21, 131-138.
  3. Bowman, K. O. and Shenton, I. R. (1998). Distribution of the ratio of gamma variates. Communication in Statistics-Simulations, 27, 1-19. https://doi.org/10.1080/03610919808813461
  4. Gradshteyn, I. S. and Ryzhik, I. M. (1965). Tables of Integrals, Series, and Products, Academic Press, New York.
  5. Johnson, N. L., Kotz, S. and Balakrishnan, N. (1994). Continuous Univariate Distributions I, 2nd Ed., John Wiley & Sons, New York.
  6. McCool, J. I. (1991). Inference on P(T < X) in the Weibull case. Communications in Statistics-Simulations, 20, 129-148. https://doi.org/10.1080/03610919108812944
  7. Moon, Y. G. and Lee, C. S. (2009). Inference on the reliability P(X < Y) in the gamma case. Journal of the Korean Data & Information Science Society, 20, 219-223.
  8. Moon, T. G., Lee, C. S. and Ryu, S. G. (2009). Reliability and ratio in exponentiated complementary power function distribution. Journal of the Korean Data & Information Sciences Society, 20, 955-960.
  9. Rohatgi, V. K. (1976). An introduction to probability theory and mathematical statistics, John Wiley & Sons, New York.
  10. Saunders, S. C. (2007). Reliability, life testing, and prediction of service lives, Springer, New York.
  11. Woo, J. (2006). Reliability P(T < X), ratio X=(X + Y), and a skewed-symmetric distribution of two independent random variables. Proceedings of Korean Data & Information Science Society, 37-42.
  12. 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.
  13. 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.