Parameter estimations for generalized exponential distribution under progressive type-I interval censoring

Computational Statistics and Data Analysis

Volumn 54, Issue 6, 2010, Pages 1581-1591

  Chen, D G ^a   Lio, Y L ^b  

^a GEORGIA SOUTHERN UNIVERSITY   (United States)

^b University of South Dakota   (United States)

Author keywords

EM algorithm; Maximum likelihood estimate; Method of moments; Type I interval censoring

Indexed keywords

DATA SETS; EM ALGORITHMS; GENERALIZED EXPONENTIAL DISTRIBUTION; INTERVAL CENSORING; MAXIMUM LIKELIHOOD ESTIMATE; MEAN SQUARED ERROR; MOMENT METHODS; PLASMA CELLS; PROBABILITY PLOT;

MAXIMUM LIKELIHOOD ESTIMATION; PARAMETER ESTIMATION; PROBABILITY DISTRIBUTIONS;

METHOD OF MOMENTS;

EID: 77249113199     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2010.01.007     Document Type: Article

References (30)

1. Aggarwala R. Progressively interval censoring: Some mathematical results with application to inference. Communications in Statistics-Theory and Methods 30 (2001) 1921-1935
2. Balakrishnan N., and Aggarwala R. Progressive Censoring: Theory, Methods and Applications (2000), Birkhauser, Boston
3. Carbone P.P., Kellerhouse L.E., and Gehan E.A. Plasmacytic myeloma: A study of the relationship of survival to various clinical manifestations and anomalous protein type in 112 patients. The American Journal of Medince 42 (1967) 937-948
4. Carrasco J.M.F., Ortega E.M.M., and Corderio G.M. A generalized modified Weibull distribution for lifetime modeling. Computational Statistics and Data Analysis 53 (2008) 450-462
5. Colosimo E.A., Silva A.F., and Cruz F.R.B. Bias evaluation in the proportional hazards model. Journal of Statistical Computation and Simulation 65 3 (2000) 191-201
6. Dempster, Laird, and Rubin. Maximum likelihood from incomplete data via the EM algorithm. Journal of the Royal Statistical Society. Series B 39 1 (1977) 1-38
7. Gupta R.D., and Kundu D. Generalized exponential distributions. Australian and New Zealand Journal of Statistics 41 (1999) 173-188
8. Gupta R.D., and Kundu D. Exponentiated exponential distribution: An alternative to gamma and Weibull distributions. Biometrical Journal 43 (2001) 117-130
9. Gupta R.D., and Kundu D. Generalized exponential distributions: Different method of estimations. Journal of Statistical Computation and Simulation 69 (2001) 315-338
10. Gupta R.D., and Kundu D. Generalized exponential distributions: Statistical inferences. Journal Statistic Theory Application 1 (2002) 101-118 (Biometrical Journal, 43 117-130)
11. Gupta R.D., and Kundu D. Discriminating between Weibull and generalized exponential distributions. Computational Statistics and Data Analysis 43 (2003) 179-196
12. Gupta R.D., and Kundu D. Generalized exponential distribution: Existing results and some recent developments. Journal of Statistical Planning and Inference 137 (2007) 3537-3547
13. Ihaka R., and Gentleman R. R: A language for data analysis and graphics. Journal of Computational and Graphical Statistics 5 (1996) 299-314
14. Jaheen Z.F. Empirical Bayes inference for generalized exponential distribution based on records. Communications in Statistics-Theory and Methods 33 (2004) 1851-1861
15. Kemp C.D., and Kemp W. Rapid generation of frequency tables. Applied Statistics 36 (1987) 277-282
16. Kundu D., and Rakab M.Z. Generalized Rayleigh distribution: Different methods of estimation. Computational Statistics and Data Analysis 49 (2005) 187-200
17. Lai C.D., Xie M., and Murthy D.N.P. A modified Weibull distribution. IEEE Transactions on Reliability 52 (2003) 33-37
18. Lawless J. Statistical Models and Methods for Lifetime Data (1982), John Wiley and Sons, New York
19. Montenegro L.C.C., Colosimo E.A., Cordeiro G.M., and Cruz F.R.B. Bias coorection in the Cox regression model. Journal of Statistical Computation and Simulation 74 5 (2004) 379-386
20. Mudholkar G.S., and Srivastava D.K. Exponentiated Weibull family for analyzing bathtub failure data. IEEE Transactions on Reliability 42 (1993) 299-302
21. Mudholkar G.S., Srivastava D.K., and Friemer M. The exponentiated Weibull family: A reanalysis of the bus-motor-failure data. Technometrics 37 (1995) 436-445
22. Mudholkar G.S., Srivastava D.K., and Kollia G.D. A generalization of the Weibull distribution with application to the analysis of survival data. Journal of the American Statistical Association 91 (1996) 1575-1583
23. Ng H., and Wang Z. Statistical estimation for the parameters of Weibull distribution based on progressively type-I interval censored sample. Journal of Statistical Computation and Simulation 79 (2009) 145-159
24. Pradhan, B., Kundu, D., 2008. On progressively censored generalized exponential distribution. Test: http://dx.doi.org/10.1007/s11749-008-0110-1.
25. R Development Core Team. A language and environment for statistical computing (2006), R Foundation for Statistical Computing, Vienna, Austria. 3-900051-07-0
26. Raqab M.Z., and Ahsanullah M. Estimation of the location and scale parameters of generalized exponential distribution based on order statistics. Journal of Statistical Computation and Simulation 69 (2001) 109-124
27. Raqab M.Z., and Madi M.T. Bayesian inference for the generalized exponential distribution. Journal of Statistical Computation and Simulation 75 (2005) 841-852
28. Sarhan A.M. Analysis of incomplete, censored data in competing risks models with generalized exponential distributions. IEEE Transactions on Reliability 56 1 (2007) 132-138
29. Wang Z., Desmond A.F., and Lu X. Modified censored moment estimation for the two-parameter Birnbaum-Saunders distribution. Computational Statistics and Data Analysis 50 (2006) 1033-1051
30. Zheng G. Fisher information matrix in type-II censored data from exponentiated exponential family. Biometrical Journal 44 (2002) 353-357