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

References (16)

1. Adamidis, K. and Loukas, S. A life time distribution with decreasing failure rate, Statist. Probab. Lett. 39, 35–42, 1998.
2. Adamidis, K. An EM algorithm for estimating negative binomial parameters, Austral. & New Zealand J. Statist. 41 (2), 213–221, 1999.
3. Adamidis, K., Dimitrakopoulou, T. and Loukas, S. On an extension of the exponentialgeometric distribution, Statist. Probab. Lett. 73, 259–269, 2005.
4. Bairamov, I and Eryılmaz, S. Spacings, exceedances and concomitants in progressive Type II censoring scheme, J. Statist. Plann. Infer. 136, 527–536, 2006.
5. 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.
6. Balakrishnan, N. and Aggarwala, R. Progressive Censoring:Theory, Methods and Applications (Birkh¨auser, Boston, 2000).
7. 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.
8. 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.
9. Balasooriya, U., Saw, S. L. C. and Gadag, V. Progressively censored reliability sampling plans for the Weibull distribution, Technometrics 42, 160–168, 2000.
10. Cohen, A. C. Progressively censored samples in life testing, Technometrics 5, 327–339, 1963.
11. 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.
12. Karlis, D. An EM algorithm for multivariate Poisson distribution and related models, J. App. Statist. 30 (1), 63–77, 2003. Ku¸s, C. 2006.
13. 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).
14. Mann, N. R. Best linear invariant estimation for Weibull parameters under progressive censoring, Technometrics 13, 521–533, 1971.
15. McLachlan, G. J., Krishnan, T. The EM Algorithm and Extensions (Wiley, New York, 1997).
16. Nelson, W. Applied Life Data Analysis (Wiley, New York, 1982).