The exponentiated extreme value distribution

  • Cho, Young-Seuk (Department of Statistics, Pusan National University) ;
  • Kang, Suk-Bok (Department of Statistics, Yeungnam University) ;
  • Han, Jun-Tae (National Health Insurance Policy Research Institute, National Health Insurance Corporation)
  • Published : 2009.07.31

Abstract

This paper deals with properties of the exponentiated extreme value distribution. We derive the approximate maximum likelihood estimators of the scale parameter and location parameter of the exponentiated extreme value distribution based on multiply Type-II censored samples. We compare the proposed estimators in the sense of the mean squared error for various censored samples.

Keywords

References

  1. Ali, M. M., Pal, M. and Woo, J. (2007). Some exponentiated distributions. The Korean Communications in Statistics, 14, 93-109. https://doi.org/10.5351/CKSS.2007.14.1.093
  2. Cancho, V. G. and Bolfarine, H. (2001). Modeling the presence of immunes by using the exponentiated-Weibull model. Journal of Applied Statistics, 28, 659-671. https://doi.org/10.1080/02664760120059200
  3. Gupta, R. C., Gupta, R. D. and Gupta, P. L. (1998). Modelling failure time data by Lehman alternatives. Communications in Statistics-Theory and Methods, 27, 887-904. https://doi.org/10.1080/03610929808832134
  4. Gupta, R. D. and Kundu, D. (1999). Generalized exponential distributions. Australian & New Zealand Journal of Statistics, 41, 173-188. https://doi.org/10.1111/1467-842X.00072
  5. Gupta, R. D. and Kundu, D. (2000a). Exponentiated exponential family: An alternative to gamma and Weibull distributions. Biometrical Journal, 43, 117-130. https://doi.org/10.1002/1521-4036(200102)43:1<117::AID-BIMJ117>3.0.CO;2-R
  6. Gupta, R. D. and Kundu, D. (2000b). Generalized exponential distribution: Different method of estimations. Journal of Statistical Computation & Simulation, 69, 315-337.
  7. Han, J. T., Kang, S. B. and Cho, Y. S. (2007). Reliability estimation in an exponentiated logistic distribution under multiply Type-II censoring. Journal of the Korean Data & Information Science Society, 18, 1081-1091.
  8. Kang, S. B. (2005). Estimation for the extreme value distribution based on multiply Type-II censored samples. Journal of the Korean Data & Information Science Society, 16, 629-238.
  9. Kang, S. B. and Park, S. M. (2005). Estimation for the exponentiated exponential distribution based on multiply Type-II censored samples. The Korean Communications in Statistics, 12, 643-652. https://doi.org/10.5351/CKSS.2005.12.3.643
  10. Kundu, D., Gupta, R. D. and Manglick, A. (2005). Discriminating between the log-normal and generalized exponential distribution. Journal of Statistical Planning & Inference, 127, 213-227. https://doi.org/10.1016/j.jspi.2003.08.017