Parameters estimation and application of generalized exponential distribution under grouped and right-censored data

Abstract

Generalized exponential distribution is a class of important distribution in lifedata analysis, especially in some skewed lifedata. The Parameter estimation problem for generalized exponential distribution model with grouped and right-censored data is considered. The maximum likelihood estimators are obtained using the EM algorithm. Some simulations are carried out to illustrate that the proposed algorithm is effective for the model. Finally, a set of medicine data is analyzed by generalized exponential distribution.

Graphical abstract

Keywords

Generalized exponential distribution / grouped and right-censored data / EM algorithm

References

[1] Chen D G, Lio Y L. Parameter estimations for generalized exponential distribution under progressive type-I interval censoring. Comput Stat Data Anal 2010; 54(6): 1581–1591

[2] Gupta R D, Kundu D. Generalized exponential distributions. Austr New Zealand J Statist 1999; 41(2): 173–188

[3] Gupta R D, Kundu D. Generalized exponential distribution: existing results and some recent developments. J Statist Plann Inference 2007; 137(11): 3537–3547

[4] Gupta R D, Kundu D. Generalized exponential distribution: Bayesian estimations. Comput Statist Data Anal 2008; 52(4): 1873–1883

[5] Kundu D, Pradhan B. Estimating the parameters of the generalized exponential distribution in presence of hybrid censoring. Commun Stat Theory Methods 2009; 38(12): 2030–2041

[6] LeeE TWangJ W. Statistical Methods for Survival Data Analysis, 3rd ed. New York: John Wiley & Sons, 2003

[7] Liu L P. Estimation of MLE for Weibull distribution with grouped and censored data. Chinese Journal of Applied Probability and Statistics 2001; 17(2): 133–138

[8] Liu X, Chen H, Fei H L. Estimation of the parameters in the lognormal distribution with grouped and right-censored data. Chinese Journal of Applied Probability and Statistics 2008; 24(4): 371–380

[9] Pettitt A N. Re-weighted least squares estimation with censored and grouped data: an application of the EM algorithm. Royal Statistical Society 1985; 47(2): 253–260

[10] Raqab M Z. Inferences for generalized exponential distribution based on record statistics. J Statist Plann Inference 2002; 104(2): 339–350

[11] Raqab M Z, Madi M T. Bayesian inference for the generalized exponential distribution. J Statist Comput Simul 2005; 75(10): 841–852

[12] Sarhan A M. Analysis of incomplete, censored data in competing risks models with generalized exponential distribution. IEEE Trans Reliability 2007; 56(1): 132–138

RIGHTS & PERMISSIONS

Higher Education Press 2023