Estimation of Parameters of the Loglogistic Distribution based on Progressive Censoring using the EM Algorithm

Year 2006, Volume: 35 Issue: 2, 203 - 211, 01.02.2006

C. Kus M. F. Kaya

Keywords

-

References

• Adamidis, K. and Loukas, S. A life time distribution with decreasing failure rate, Statist. Probab. Lett. 39, 35–42, 1998.
• Adamidis, K. An EM algorithm for estimating negative binomial parameters, Austral. & New Zealand J. Statist. 41 (2), 213–221, 1999.
• Adamidis, K., Dimitrakopoulou, T. and Loukas, S. On an extension of the exponentialgeometric distribution, Statist. Probab. Lett. 73, 259–269, 2005.
• Bairamov, I and Eryılmaz, S. Spacings, exceedances and concomitants in progressive Type II censoring scheme, J. Statist. Plann. Infer. 136, 527–536, 2006.
• Balakrishnan, N. and Sandhu, R. A. Best linear unbiased and maximum likelihood estimation for exponential distributions under general progressive type-II censored samples, Sankhya-B 58 (1), 1–9, 1996.
• Balakrishnan, N. and Aggarwala, R. Progressive Censoring:Theory, Methods and Applications (Birkh¨auser, Boston, 2000).
• Balakrishnan N. and Lin, C. -T. Exact linear inference and prediction for exponential distributions based on general progressively Type-II censored samples, J. Statist. Comput. Simul. 72, 677–686, 2002.
• Balakrishnan N., Kannan, N., Lin, C.-T. and Ng, H. K. T. Point and interval estimation for Gaussian distribution, based on progressively Type II censored samples, IEEE Trans. Reliab. 52, 90–95, 2003.
• Balasooriya, U., Saw, S. L. C. and Gadag, V. Progressively censored reliability sampling plans for the Weibull distribution, Technometrics 42, 160–168, 2000.
• Cohen, A. C. Progressively censored samples in life testing, Technometrics 5, 327–339, 1963.
• Dempster, A.P., Laird, N. M. and Rubin, D. B. Maximum likelihood from incomplete data via the EM algorithm (with discussion), J. Roy. Statist. Soc. Ser. B 39, 1-38, 1977.
• Fernandez A. J. On estimating exponential parameters with general Type-II progressive censoring, J. Statist. Plann. Infer. 121, 135–14 2004.
• Karlis, D. An EM algorithm for multivariate Poisson distribution and related models, J. App. Statist. 30 (1), 63–77, 2003.
• Ku¸s, C. 2006. A new lifetime distribution, Comp. Statist.& Data Analy., in press.
• Little, R. J. A. and Rubin, D. B. Incomplete data, In: Kotz, S., Johnson, N. L. (Eds.), Encyclopedia of Statistical Sciences, Vol. 4 (Wiley, New York, pp. 46–53, 1983).
• Mann, N. R. Best linear invariant estimation for Weibull parameters under progressive censoring, Technometrics 13, 521–533, 1971.
• McLachlan, G. J., Krishnan, T. The EM Algorithm and Extensions (Wiley, New York, 1997).
• Nelson, W. Applied Life Data Analysis (Wiley, New York, 1982).
• Ng, H. K. T., Chan, P. S. and Balakrishnan N. Estimation of parameters from progressively censored data using EM algorithm, Comp. Statist.&Data Analy. 39, 371–386, 2002.
• Thomas, D. R. and Wilson, W. M. Linear order statistic estimation for the two-parameter Weibull and extreme value distributions from Type-II progressively censored samples, Technometrics 14, 679–691, 1972.
• Viveros, R. and Balakrishnan, N. Interval estimation of parameters of life from progressively censored data, Technometrics 36, 84–91, 1994.
• Wu S. -J. Estimation of the parameters of the Weibull distribution with progressively censored data. J. Japan Statist. Soc. 32 (2), 155–163, 2002.
• Wu S. -J., Chang, C. -T. and Tsai T.-R. Point and interval estimations for the Gompertz distribution under progressive Type-II censoring, METRON - Int. J.Statist. vol. LXI (3), 403–418, 2003.
• Wong, J. Y. Simultaneously estimating the three Weibull parameters from progressively censored samples, Microelect. Reliab. 33, 2217-2224, 1993.