Estimating the parameters of the Marshall-Olkin bivariate Weibull distribution by EM algorithm

Computational Statistics and Data Analysis

Volumn 53, Issue 4, 2009, Pages 956-965

  Kundu, Debasis ^a   Dey, Arabin Kumar ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BLOCK CODES; CONSTRUCTION; DISTRIBUTION FUNCTIONS; MAXIMUM LIKELIHOOD; PARAMETER ESTIMATION; PROBABILITY DENSITY FUNCTION;

BIVARIATE; BIVARIATE WEIBULL DISTRIBUTION; EXPECTATION MAXIMIZATION (EM) ALGORITHMS; JOINT DISTRIBUTIONS; MAXIMUM LIKELIHOOD (ML) ESTIMATORS; UNIVARIATE; UNKNOWN PARAMETERS; WEIBULL;

WEIBULL DISTRIBUTION;

EID: 58549117465     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2008.11.009     Document Type: Article

References (17)

1. Arnold B. Parameter estimation for a multivariate exponential distribution. Journal of the American Statistical Association 63 (1968) 848-852
2. Bemis B., Bain L.J., and Higgins J.J. Estimation and hypothesis testing for the parameters of a bivariate exponential distribution. Journal of the American Statistical Association 67 (1972) 927-929
3. Bhattacharyya, G.K., Johnson, R.A., 1971. Maximum likelihood estimation and hypothesis testing in the bivariate exponential model of Marshall and Olkin. http://handle.dtic.mil/100.2/AD737530
4. Block H., and Basu A.P. A continuous bivariate exponential extension. Journal of the American Statistical Association 69 (1974) 1031-1037
5. Dinse G.E. Non-parametric estimation of partially incomplete time and types of failure data. Biometrics 38 (1982) 417-431
6. Hanagal D.D. A bivariate Weibull regression model. Economic Quality Control 20 (2005) 143-150
7. Hanagal D.D. Bivariate Weibull regression model based on censored samples. Statistical Papers 47 (2006) 137-147
8. Karlis D. ML estimation for multivariate shock models via an EM algorithm. Annals of the Institute of Statistical Mathematics 55 (2003) 817-830
9. Kundu D. Parameter estimation for partially complete time and type of failure data. Biometrical Journal 46 (2004) 165-179
10. Kundu D., and Gupta R.D. Estimation of P (Y < X) for Weibull distribution. IEEE Transactions on Reliability 55 (2006) 270-280
11. Louis T.A. Finding the observed information matrix when using the EM algorithm. Journal of the Royal Statistical Society, Series B 44 (1982) 226-233
12. Lu J.-C. Weibull extension of the Freund and Marshall-Olkin bivariate exponential model. IEEE Transactions on Reliability 38 (1989) 615-619
13. Lu J.-C. Bayes parameter estimation for the bivariate Weibull model of Marshall-Olkin for censored data. IEEE Transactions on Reliability 41 (1992) 608-615
14. Marshall A.W., and Olkin I. A multivariate exponential distribution. Journal of the American Statistical Association 62 (1967) 30-44
15. Meintanis S.G. Test of fit for Marshall-Olkin distributions with applications. Journal of Statistical Planning and Inference 137 (2007) 3954-3963
16. Patra K., and Dey D.K. A multivariate mixture of Weibull distributions in reliability modeling. Statistics and Probability Letters 45 (1999) 225-235
17. Proschan F., and Sullo P. Estimating the parameters of a multivariate exponential distribution. Journal of the American Statistical Association 71 (1976) 465-472