Analysis of left censored data from the generalized exponential distribution

The generalized exponential distribution proposed by Gupta and Kundu [Gupta, R.D and Kundu, D., 1999, Generalized exponential distributions. Australian and New Zealand Journal of Statistics, 41(2), 173–188.] is an important lifetime distribution in survival analysis. In this paper, we consider the maximum likelihood estimation procedure of the parameters of the generalized exponential distribution when the data are left censored. We obtain the maximum likelihood estimators of the unknown para-meters and the Fisher information matrix. Simulation studies are carried out to observe the performance of the estimators in small sample.

[1]  Mohammad Z. Raqab,et al.  Inferences for generalized exponential distribution based on record statistics , 2002 .

[2]  M. Ahsanullah,et al.  Estimation of the location and scale parameters of generalized exponential distribution based on order statistics , 2001 .

[3]  Debasis Kundu,et al.  Characterizations of the Proportional (Reversed) Hazard Model , 2004 .

[4]  J. Gastwirth,et al.  WHERE IS THE FISHER INFORMATION IN AN ORDERED SAMPLE , 2000 .

[5]  Narayanaswamy Balakrishnan.  Approximate MLE of the scale parameter of the Rayleigh distribution with censoring , 1989 .

[6]  D. Kundu,et al.  Theory & Methods: Generalized exponential distributions , 1999 .

[7]  Gang Zheng.  On the Fisher information matrix in Type II censored data from the exponentiated exponential family , 2002 .

[8]  C. Kapadia,et al.  On estimating the scale parameter of the Rayleigh distribution from doubly censored samples , 1980 .

[9]  Narayanaswamy Balakrishnan,et al.  Approximate MLEs for the location and scale parameters of the extreme value distribution with censoring , 1991 .

[10]  Erika C. Ziller,et al.  Patterns of Health Insurance Coverage among Rural and Urban Children , 2002, Medical care research and review : MCRR.

[11]  P. Danzon,et al.  Productivity in Pharmaceutical Biotechnology R&D: The Role of Experience and Alliances , 2003, Journal of health economics.

[12]  Debasis Kundu,et al.  Generalized exponential distribution: Existing results and some recent developments , 2007 .