Discriminating between the generalized Rayleigh and Weibull distributions

Journal of Applied Statistics

Volumn 40, Issue 7, 2013, Pages 1480-1493

  Raqab, Mohammad Z ^a  

^a KUWAIT UNIVERSITY   (Kuwait)

Author keywords

asymptotic distributions; generalized Rayleigh distribution; hazard function; likelihood ratio test; maximum likelihood estimator; probability of correct selection; tolerance limit

Indexed keywords

EID: 84879551584     PISSN: 02664763     EISSN: 13600532     Source Type: Journal    
DOI: 10.1080/02664763.2013.788614     Document Type: Article

References (15)

1. Aarset, M. V. 1987. How to identify a bathtub hazard rate. IEEE Trans. Reliab., 36: 106 - 108. (doi:10.1109/TR.1987.5222310)
2. Ahmad, K. E., Fakhry, M. E. and Jaheen, Z. F. 1997. Empirical Bayes estimation of P(X
3. Bain, L. J. and Engelhardt, M. 1980. Probability of correct selection of Weibull versus gamma based onlikelihood ratio. Commun. Stat. Ser. A, 9: 375 - 381. (doi:10.1080/03610928008827886)
4. Dumonceaux, R. and Antle, C. E. 1973. Discrimination between the log-normal and the Weibull distributions. Technometrics, 15: 923 - 926. (doi:10.1080/00401706.1973.10489124)
5. Gupta, R. D. and Kundu, D. 2003. Discriminating between the Weibull and the GE distributions. Comput. Stat. Data Anal., 43: 179 - 196. (doi:10.1016/S0167-9473(02)00206-2)
6. Johnson, N. L., Kotz, S. and Balakrishnan, N. 1995. Continuous Univariate Distribution, 2, Vol. 1, New York: Wiley.
7. Kundu, D., Gupta, R. D. and Manglick, A. 2005. Discriminating between the log-normal and generalized exponential distributions. J. Statist. Plann. Inference, 127: 213 - 227. (doi:10.1016/j.jspi.2003.08.017)
8. Kundu, D. and Raqab, M. Z. 2005. Generalized Rayleigh distribution: Different methods of estimation. Comput. Stat. Data Anal., 49: 187 - 200. (doi:10.1016/j.csda.2004.05.008)
9. Kundu, D. and Raqab, M. Z. 2007. Discriminating between the generalized Rayleigh and log-normal distribution. Statistics, 41: 505 - 515. (doi:10.1080/02331880701458615)
10. Pascual, F. G. 2005. Maximum likelihood estimation under misspecified lognormal and Weibull distributions. Comm. Stat. Simul. Comput., 34: 503 - 524. (doi:10.1081/SAC-200068380)
11. Raqab, M. Z. and Ahsanullah, M. 2001. Estimation of location and scale parameters of generalized exponential distribution based on order statistics. J. Statist. Comput. Simul., 69 (2): 109 - 124. (doi:10.1080/00949650108812085)
12. Raqab, M. Z. and Kundu, D. 2006. Burr type X distribution: Revisited. J. Probab. Statist. Sci., 4: 179 - 193.
13. Sartawi, H. A. and Abu-Salih, M. S. 1991. Bayes prediction bounds for the Burr type X model. Comm. Stat. Theory Methods, 20: 2307 - 2330. (doi:10.1080/03610929108830633)
14. Surles, J. G. and Padgett, W. J. 2001. Inference for reliability and stress-strength for a scaled Burr type X distribution. Lifetime Data Anal., 7: 187 - 200. (doi:10.1023/A:1011352923990)
15. Yu, H. F. 2007. Mis-specification analysis between normal and extreme value distributions for a linear regression model. Comm. Stat. Theory Methods, 36: 499 - 521. (doi:10.1080/03610920601001725)