The beta-Weibull geometric distribution

Statistics

Volumn 47, Issue 4, 2013, Pages 817-834

  Cordeiro, Gauss M ^a   Silva, Giovana O ^b   Ortega, Edwin M M ^c  

^a FEDERAL UNIVERSITY OF PERNAMBUCO   (Brazil)

^b FEDERAL UNIVERSITY OF BAHIA   (Brazil)

^c UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

beta Weibull; exponential geometric distribution; generalized exponential distribution; maximum likelihood estimation; observed information matrix; Weibull distribution; Weibull geometric distribution

Indexed keywords

EID: 84884484856     PISSN: 02331888     EISSN: 10294910     Source Type: Journal    
DOI: 10.1080/02331888.2011.577897     Document Type: Article

References (29)

1. Adamidis, K. and Loukas, S. 1998. A lifetime distribution with decreasing failure rate. Statist. Probab. Lett, 39: 35 - 42. (doi:10.1016/S0167-7152(98)00012-1)
2. Gupta, R. D. and Kundu, D. 1999. Generalized exponential distribution. Aust. N. Z. J. Stat, 41: 173 - 188. (doi:10.1111/1467-842X.00072)
3. Gupta, R. D. and Kundu, D. 2001a. Exponentiated exponential family: An alternative to gamma and Weibull distributions. Biom. J, 43: 117 - 130. (doi:10.1002/1521-4036(200102)43:1<117::AID-BIMJ117>3.0.CO;2-R)
4. Gupta, R. D. and Kundu, D. 2001b. Generalized exponential distribution: Different method of estimations. J. Stat. Comput. Simul, 69: 315 - 337. (doi:10.1080/00949650108812098)
5. Silva, R. B., Barreto-Souza, W. and Cordeiro, G. M. 2010. A new distribution with decreasing, increasing and upside-down bathtub failure rate. Comput. Statist. Data Anal, 54: 935 - 944. (doi:10.1016/j.csda.2009.10.006)
6. Silva, G. O., Ortega, E. M.M. and Cordeiro, G. M. 2010. The beta modified Weibull distribution. Lifetime Data Anal, 16: 409 - 430. (doi:10.1007/s10985-010-9161-1)
7. Barreto-Souza, W., de Morais, A. L. and Cordeiro, G. M. 2011. The Weibull-geometric distribution. J. Stat. Comput. Simul, 81: 645 - 657. (doi:10.1080/00949650903436554)
8. Nadarajah, S. and Kotz, S. 2006. The beta exponential distribution. Reliab. Eng. Syst. Saf, 91: 689 - 697. (doi:10.1016/j.ress.2005.05.008)
9. Eugene, N., Lee, C. and Famoye, F. 2002. Beta-normal distribution and its applications. Comm. Statist. Theory Methods, 31: 497 - 512. (doi:10.1081/STA-120003130)
10. Jones, M. C. 2004. Family of distributions arising from distribution of order statistics. Test, 13: 1 - 43. (doi:10.1007/BF02602999)
11. Nadarajah, S. and Kotz, S. 2004. The beta Gumbel distribution. Math. Probl. Eng, 10: 323 - 332. (doi:10.1155/S1024123X04403068)
12. Nadarajah, S. and Gupta, A. K. 2004. The beta Fréchet distribution. Far East J. Theor. Stat, 14: 15 - 24.
13. Nadarajah, S. and Kotz, S. 2006. The exponentiated type distributions. Acta Appl. Math, 92: 97 - 111. (doi:10.1007/s10440-006-9055-0)
14. Lai, C. D., Xie, M. and Murthy, D. N.P. 2003. A modified Weibull distribution. Trans. Reliab, 52: 33 - 37. (doi:10.1109/TR.2002.805788)
15. Mudholkar, G. S., Srivastava, D. K. and Freimer, M. 1995. The exponentiated Weibull family. Technometrics, 37: 436 - 445. (doi:10.1080/00401706.1995.10484376)
16. Cancho, V. G., Bolfarine, H. and Achcar, J. A. 1999. A Bayesian analysis of the exponentiated Weibull distribution. J. Appl. Statist. Sci, 8: 277 - 242.
17. Carrasco, J. M.F., Ortega, E. M.M. and Cordeiro, G. M. 2008. A generalized modified Weibull distribution for lifetime modeling. Comput. Statist. Data Anal, 53: 450 - 462. (doi:10.1016/j.csda.2008.08.023)
18. S. Nadarajah, G.M. Cordeiro, and E.M.M. Ortega General results for the Kumaraswamy-G distribution, J. Stat. Comput. Simul. (2011). DOI:10.1080/00949655.2011.562504.
19. Gradshteyn, I. S. and Ryzhik, I. M. 2000. Table of Integrals, Series, and Products, New York: Academic Press.
20. Prudnikov, A. P., Brychkov, Y. A. and Marichev, O. I. 1986. Integrals and Series, Vol. 1, Amsterdam: Gordon and Breach Science Publishers.
21. Doornik, J. A. 2007. An Object-Oriented Matrix Language Ox 5, London: Timberlake Consultants Press.
22. Collet, D. 2003. Modelling Survival Data in Medical Research, London: Chapman and Hall.
23. Fleming, T. R. and Harrington, D. P. 1991. Counting Process and Survival Analysis, New York: Wiley.
24. Therneau, T. M., Grambsch, P. M. and Fleming, T. R. 1990. Martingale-based residuals for survival models. Biometrika, 77: 147 - 60. (doi:10.1093/biomet/77.1.147)
25. Atkinson, A. C. 1985. Plots, Transformations and Regression: An Introduction to Graphical Methods of Diagnostics Regression Analysis, 2, Oxford: Clarendon Press.
26. Nadarajah, S. 2008. A truncated inverted beta distribution with application to air pollution data. Stoch. Environ. Res. Risk Assess, 22: 285 - 289. (doi:10.1007/s00477-007-0120-7)
27. Leiva, V., Vilca, F., Balakrishnan, N. and Sanhueza, A. 2010. A skewed sinh-normal distribution and its properties and application to air pollution. Comm. Statist. Theory Methods, 39: 426 - 443. (doi:10.1080/03610920903140171)
28. Díaz-García, J. A. and Leiva, V. 2005. A new family of life distributions based on elliptically contoured distributions. J. Statist. Plann. Inference, 128: 445 - 457. (doi:10.1016/j.jspi.2003.11.007)
29. Barros, M., Paula, G. A. and Leiva, V. 2009. An R implementation for generalized Birnbaum-Saunders distributions. Comput. Statist. Data Anal, 53: 1511 - 1528. (doi:10.1016/j.csda.2008.11.005)