On some recent modifications of Weibull distribution

IEEE Transactions on Reliability

Volumn 54, Issue 4, 2005, Pages 561-562

  Nadarajah, Saralees ^a   Kotz, Samuel ^b  

^a UNIVERSITY OF NEBRASKA LINCOLN   (United States)

^b George Washington University   (United States)

Author keywords

Modified Weibull distributions; Weibull distribution

Indexed keywords

FUNCTIONS; MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION; MODIFICATION; PARAMETER ESTIMATION;

CUMULATIVE DISTRIBUTION FUNCTION; MODIFIED WEIBULL DISTRIBUTIONS;

WEIBULL DISTRIBUTION;

EID: 29344443512     PISSN: 00189529     EISSN: None     Source Type: Journal    
DOI: 10.1109/TR.2005.858811     Document Type: Article

References (12)

1. M. R. Gurvich, A. T. Dibenedetto, and S. V. Rande, "A new statistical distribution for characterizing the random strength of brittle materials," Journal of Materials Science, vol. 32, pp. 2559-2564, 1997.
2. C. D. Lai, M. Xie, and D. N. P. Murthy, "Modified Weibull model," IEEE Transactions on Reliability, vol. 52, pp. 33-37, 2003.
3. M. Xie, Y. Tang, and T. N. Goh, "A modified Weibull extension with bathtub-shaped failure rate function," Reliability Engineering & System Safety, vol. 76, pp. 279-285, 2002.
4. Y. Tang, M. Xie, and T. N. Goh, "Statistical analysis of a Weibull extension mode," Communications in Statistics - Theory and Methods, vol. 32, pp. 913-928, 2003.
5. J. W. Wu, H. L. Lu, C. H. Chen, and C. H. Wu, "Statistical inference about the shape parameter of the new two-parameter bathtub-shaped lifetime distribution," Quality and Reliability Engineering International, vol. 20, pp. 607-616, 2004.
6. Z. Chen, "A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function," Statistics and Probability Letters, vol. 49, pp. 155-161, 2000.
7. D. N. P. Murthy, M. Xie, and R. Jiang, Weibull Models. New York: John Wiley and Sons, 2004.
8. J. S. White, "The moments of log-Weibull order statistics," Technometrics, vol. 11, pp. 373-386, 1969.
9. K. K. Phani, "A new modified Weibull distribution," Communications of the American Ceramic Society, vol. 70, pp, 182-184, 1987.
10. J. A. Kies, "The Strength of Glass," Naval Research Lab., Washington DC, Report No 5093, 1958.
11. M. Xie and C. D. Lai, "Reliability analysis using an additive Weibull model with bathtub-shaped failure rate function," Reliability Engineering & System Safety, vol. 52, pp. 87-93, 1995.
12. E. G. Stoner, D. D. Edie, and S. D. Durham, "An end-effect model for the single-filament tensile test," Journal of Materials Science, vol. 29, pp. 6561-6574, 1994.