DOI QR코드

DOI QR Code

AMLEs for Rayleigh Distribution Based on Progressive Type-II Censored Data

  • Published : 2007.08.31

Abstract

In this paper, we shall propose the AMLEs of the scale parameter and the location parameter in the two-parameter Rayleigh distribution based on progressive Type-II censored samples when one parameter is known. We also propose the AMLEs of the two parameters in the Rayleigh distribution based on progressive Type-II censored samples when two parameters are unknown. We simulate the mean squared errors of the proposed estimators through Monte Carlo simulation for various censoring schemes.

Keywords

References

  1. Balakrishnan, N. (1989). Approximate MLE of the scale parameter of the Rayleigh distribution with censoring. IEEE Transactions on Reliability, 38, 355-357 https://doi.org/10.1109/24.44181
  2. Balakrishnan, N. and Aggarwala, R. (2000). Progressive Censoring: Theory, Methods and Applications. Birkhauser, Boston
  3. Balakrishnan, N., Kannan, N., Lin, C. T. and Ng, H. K. T. (2003). Point and interval estimation for Gaussian distribution, based on progressively Type-II censored samples. IEEE Transactions on Reliability, 52, 90-95 https://doi.org/10.1109/TR.2002.805786
  4. Balakrishnan, N., Kannan, N., Lin, C. T. and Wu, S. J. S. (2004). Inference for the extreme value distribution under progressive Type-II censoring. Journal of Statistical Computation and Simulation, 74, 25-45 https://doi.org/10.1080/0094965031000105881
  5. Han, J. T. and Kang, S. B. (2006). Estimation for two-parameter Rayleigh distribution based on multiple Type-II censored sample. Journal of the Korean Data & Information Science Society, 17, 1319-1328
  6. Kang, S. B. (1996). Approximate MLE for the scale parameter of the double exponential distribution based on Type-II censored samples. Journal of the Korean Mathematical Society, 33, 69-79
  7. Kang, S. B. and Lee, S. K. (2005). AMLEs for the exponential distribution based on multiply Type-II censored samples. The Korean Communications in Statistics, 12, 603-613 https://doi.org/10.5351/CKSS.2005.12.3.603
  8. 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
  9. Kim, C. S. (2006). On estimating Burr Type-XII parameter based on general Type-II progressive censoring. The Korean Communications in Statistics, 13, 89-99 https://doi.org/10.5351/CKSS.2006.13.1.089
  10. Lin, C. T., Wu, S. J. S. and Balakrishnan, N. (2006). Inference for log-gamma distribution based on progressively Type-Il censored data. Communications in Statistics-Theory and Methods, 35, 1271-1292 https://doi.org/10.1080/03610920600692789
  11. Ng, H. K. T., Chan, P. S. and Balakrishnan, N. (2002). Estimation of parameters from progressively censored data using EM algorithm. Computational Statistics & Data Analysis, 39, 371-386 https://doi.org/10.1016/S0167-9473(01)00091-3

Cited by

  1. Estimation for Mean and Standard Deviation of Normal Distribution under Type II Censoring vol.21, pp.6, 2014, https://doi.org/10.5351/CSAM.2014.21.6.529
  2. Estimation in an Exponentiated Half Logistic Distribution under Progressively Type-II Censoring vol.18, pp.5, 2011, https://doi.org/10.5351/CKSS.2011.18.5.657
  3. Estimation on the Generalized Half Logistic Distribution under Type-II Hybrid Censoring vol.20, pp.1, 2013, https://doi.org/10.5351/CSAM.2013.20.1.063