Estimates for parameter changes in a uniform model with a generalized uniform outlier

  • Lee, Chang-Soo (Department of Mobile Engineering, Kyungwoon University) ;
  • Chang, Chu-Seock (Department of Mobile Engineering, Kyungwoon University) ;
  • Park, Yang-Woo (Department of Mobile Engineering, Kyungwoon University)
  • Received : 2010.03.26
  • Accepted : 2010.05.17
  • Published : 2010.05.31

Abstract

We shall propose several estimators for the scale parameter in a uniform distri-bution with a generalized uniform outlier when the scale parameter is a function of a known exposure level, and obtain expectations and variances for their proposed estima-tors. And we shall compare numerically efficiencies for proposed estimators of changed parameters of the scale in the small sample sizes.

Keywords

References

  1. Fan, D. Y. (1991). On a property of the order statistics of the uniform distribution. Communications in Statistics, Theory and Method, 20, 1903-1909. https://doi.org/10.1080/03610929108830607
  2. Gibbons, J. D. (1974). Estimation of the unknown upper limit of a uniform distribution. Sankya, Series B, 36, 29-40.
  3. Johnson, N. L. (1950). On the comparison of estimators. Biometrika, 37, 281-287. https://doi.org/10.1093/biomet/37.3-4.281
  4. Kim, J. D. and Lee, J. C. (2002). Unified estimations for parameter changes in a generalized uniform Distribution. Journal of Korean Data & Information Science Scociety, 13, 295-305.
  5. Lee, C. S., Chang, C. S. and Park, Y. W. (2003). Unified estimations for parameter changes in the uniform distribution. The Korean Communications in Statistics, 10, 145-151. https://doi.org/10.5351/CKSS.2003.10.1.145
  6. Lee, C. S., Chang, C. S. and Park, Y. W. (2006). Jackknife estimation in a truncated exponential distribution with an uniform outlier. Journal of the Korean Data & Information Sciences Society, 17, 1021-1028.
  7. Lee, C. S., Kim, K. H. and Park, Y. W. (2008). Estimations for an uniform scale parameter in the presence of a half-triangle outlier. Journal of the Korean Data & Information Sciences Society, 19, 959-965.
  8. Lee, C. S., Ryu, S. G. and Chang, C. S. (2007). Unified estimates for parameter changes in a Pareto model with an exponential outlier. Journal of the Korean Data & Information Science Society, 18, 507-514.
  9. Proctor, J. W. (1987). Estimation of two generalized curves covering the pearson system. Proceedings of ASA Computing Section, 287-292.
  10. Woo, J. S. and Ali, M. M. (1994). Unified jackknife estimation for parameter changes in the exponential distribution. Journal of Statistical Studies, 14, 20-23
  11. Woo, J. S. and Lee, C. S. (2000). Jackknife estimates for parameter changes in the weibull distribution. The Korean Communications in Statistics, 7, 199-209.