Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
권호 표지

Prole likelihood estimation of generalized half logistic distribution under progressively type-II censoring

  • Received : 2011.03.24
  • Accepted : 2011.05.06
  • Published : 2011.05.31
Download PDF
⟨ Previous Next ⟩

Abstract

The half logistic distribution has been used intensively in reliability and survival analysis especially when the data is censored. In this paper, we provide prole likelihood estimation of the shape parameter and scale parameter in the generalized half logistic distribution based on progressively Type-II censored data. We also introduce approximate maximum prole likelihood estimates for the scale parameter. As an illustration, we examine the validity of our estimation using real data and simulated data.

Keywords

References

  1. Balakrishnan, N., Kannan, N., Lin, C. T. and Wu, S. J. S. (2004). Inference for the extreme value distribution under progressively Type-II censoring. Journal of Statistical Computation and Simulation, 74, 25-45. https://doi.org/10.1080/0094965031000105881
  2. 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
  3. Balakrishnan, N. and Wong, K. H. T. (1991). Approximate MLEs for the location and scale parameters of the half logistic distribution with Type-II right-censoring. IEEE Transactions on Reliability, 40, 140-145. https://doi.org/10.1109/24.87114
  4. Balakrishnan, N. and Puthenpura, S. (1986). Best linear unbiased estimators of location and scale parameters of the half logistic distribution. Journal of Statistical Computation and Simulation, 25, 193-204. https://doi.org/10.1080/00949658608810932
  5. Balakrishnan, N. and Aggarwala, R. (2000). Progressive censoring: Theory, methods and applications, Bircauser, Boston.
  6. Barndorff-Nielsen, 0. E., and Cox, D. R. (1994). Inference and asymptotic, Chapman and Hall, London.
  7. Ferrari, S. L. P., Da Silva, M. F. and Crabari-Neto, F. (2007). Adjusted profile likelihoods for the Weibull shape parameter. Journal of Statistical Computation and Simulation, 77, 531-548. https://doi.org/10.1080/10629360600565160
  8. Kang, S. B., Cho, Y. S. and Han, J. T. (2008). Estimation for the half logistic distribution under progressive Type-II censoring. Communications of the Korean Statistical Society, 15, 815-823. https://doi.org/10.5351/CKSS.2008.15.6.815
  9. Kang, S. B., Cho, Y. S. and Han, J. T. (2009). Estimation for the half logistic distribution based on double hybrid censored samples. Communications of the Korean Statistical Society, 16, 1055-1066. https://doi.org/10.5351/CKSS.2009.16.6.1055
  10. Kang, S. B. and Jung, W. T. (2009). Estimation for the double Rayleigh distribution based on progressive Type-II censored samples. Journal of the Korean Data & Information Science Society, 20, 1199-1206.
  11. Kang, S. B. and Park, Y. K. (2005). Estimation for the half-logistic distribution based on multiply Type-II censored samples. Journal of the Korean Data & Information Science Society, 16, 145-156.
  12. Nelson, W. B (1982). Applied life data analysis, John Willey & Sons, New York.
  13. Patefield, W. M. (1977). On the maximized likelihood function. Sankhya, Series B, 39, 92-96.
  14. Seo, E. H. and Kang, S. B. (2007). AMLEs for Rayleigh distribution based on progressively Type-II censored data. The Korean Communications in Statistics, 14, 329-344. https://doi.org/10.5351/CKSS.2007.14.2.329
  15. Ventura, L., Cabras, S. and Racugno, W. (2010). Default prior distributions from quasi- and quasi-profile likelihoods. Journal of Statisical Planning and Inference, 140, 2937-2942. https://doi.org/10.1016/j.jspi.2010.04.003
  16. Viverous, R. and Balakrishnan, N. (1994). Interval estimation of parameters of life from progressively censored data. Technometrics, 36, 84-91. https://doi.org/10.1080/00401706.1994.10485403