The complementary Weibull geometric distribution

Journal of Statistical Computation and Simulation

Volumn 84, Issue 6, 2014, Pages 1345-1362

  Tojeiro, Cynthia ^a   Louzada, Francisco ^b   Roman, Mari ^a   Borges, Patrick ^c  

^a FEDERAL UNIVERSITY OF SÃO CARLOS   (Brazil)

^b UNIVERSITY OF SÃO PAULO   (Brazil)

^c FEDERAL UNIVERSITY OF ESPÍRITO SANTO   (Brazil)

Author keywords

censored data; complementary risks; geometric distribution; survival analysis; Weibull distribution; WG distribution

Indexed keywords

EID: 84893815850     PISSN: 00949655     EISSN: 15635163     Source Type: Journal    
DOI: 10.1080/00949655.2012.744406     Document Type: Article

References (26)

1. Y. Shen, L. Tang, and M. Xie, A model for upside-down bathtub-shaped mean residual life and its properties, IEEE Trans. Reliab. 58 (2009), pp. 425-431. doi: 10.1109/TR.2009.2027360
2. J. Navarro, A. Guillamon, and M. Ruiz, Generalized mixtures in reliability modelling: Applications to the construction of bathtub shaped hazard models and the study of systems, Appl. Stoch. Models Bus. Ind. 25 (2009), 323-337. doi: 10.1002/asmb.750
3. J. Carrasco, E. Ortega, and G. Cordeiro, A generalized modified Weibull distribution for lifetime modeling, Comput. Stat. Data Anal. 53 (2009), pp. 450-462. doi: 10.1016/j.csda.2008.08.023
4. W. Barreto-Souza and F. Cribari-Neto, A generalization of the exponential-Poisson distribution, Statist. Probab. Lett. 79 (2009), pp. 2493-2500. doi: 10.1016/j.spl.2009.09.003
5. M. Ghitany, D. Al-Mutairi, and R. Gupta, Reliability studies of the log-exponential inverse Gaussian distribution, Commun. Statist. Theor. Meth. 38 (2009), pp. 3532-3543. doi: 10.1080/03610920802601356
6. M. Bebbington, C. Lai, and R. Zitikis, Estimating the turning point of a bathtub-shaped failure distribution, J.Statist. Plan. Infer. 138 (2008), pp. 1157-1166. doi: 10.1016/j.jspi.2007.04.031
7. K. Adamidis and S. Loukas, A lifetime distribution with decreasing failure rate, Statist. Probab. Lett. 39 (1998), pp. 35-42. doi: 10.1016/S0167-7152(98)00012-1
8. A.W. Marshall and I. Olkin, A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families, Biometrika 84 (1997), pp. 641-652. doi: 10.1093/biomet/84.3.641
9. K. Adamidis, T. Dimitrakopoulou, and S. Loukas, On an extension of the exponential-geometric distribution, Stat. Probab. Lett. 73 (2005), pp. 259-269. doi: 10.1016/j.spl.2005.03.013
10. C. Kus, A new lifetime distribution, Comput. Statist. Data Anal. 51 (2007), pp. 4497-4509. doi: 10.1016/j.csda.2006.07.017
11. W. Barreto-Souza, A.L. de Morais, and G.M. Cordeiro, The Weibull-Geometric distribution, J. Statist. Comput. Simul. 1 (2010), pp. 1-13.
12. F. Louzada-Neto, Poly-hazard regression models for lifetime data, Biometrics 55 (1999), pp. 1121-1125. doi: 10.1111/j.0006-341X.1999.01281.x
13. A. Basu and J. Klein, Some recent development in competing risks theory, in Survival Analysis, J. Crowley and R.A. Johnson, eds., Vol. 1, IMS, Hayward, 1982, pp. 216-229.
14. J.F. Lawless, Statistical Models and Methods for Lifetime Data, 2nd ed., Wiley, New York, 2003.
15. M. Crowder, A. Kimber, R. Smith, and T. Sweeting, Statistical Analysis of Reliability Data, Chapman and Hall, London, 1991.
16. D. Cox and D. Oakes, Analysis of Survival Data, Chapman and Hall, London, 1984.
17. E. Goetghebeur and L. Ryan, A modified log rank test for competing risks with missing failure type, Biometrika 77 (1995), pp. 207-211. doi: 10.1093/biomet/77.1.207
18. B. Reiser, I. Guttman, D. Lin, M. Guess, and J. Usher, Bayesian inference for masked system lifetime data, Appl. Statist. 44 (1995), pp. 79-90. doi: 10.2307/2986196
19. H.M. Lee, Polylogarithmic analysis of chemical potential and fluctuations in a D-dimensional free Fermi gas at low temperatures, J. Math. Phys. 36 (1995), pp. 1217-1231. doi: 10.1063/1.531116
20. A. Erdelyi, W. Magnus, F. Oberhettinger, and F.G. Tricomi, Higher Transcendental Functions, McGraw-Hill, New York, 1953.
21. G.S.C. Perdoná, Modelos de Risco Aplicados à Análise de Sobrevivência, Doctoral thesis, Institute of Computer Science and Mathematics - University of São Paulo, São Paulo, 2006.
22. M.V. Aarset, How to identify a bathtub hazard rate, IEEE Trans. Reliab. 2 (1987), pp. 106-108. doi: 10.1109/TR.1987.5222310
23. M. Csorgo, S. Csorgo, and L. Horvath, Estimation of total time on test transforms and Lorenz curves under random censorship, Mathematische Operation for Schung und Statistik: Series Statistic 18 (1987), pp. 77-97.
24. F. Louzada-Neto, Extended hazard regression model for reliability and survival analysis, Lifetime Data Anal. 3(4) (1997), pp. 367-381. doi: 10.1023/A:1009606229786
25. G.S.C. Perdona and F. Louzada-Neto, A general hazard model for lifetime data in the presence of cure rate, J. Appl. Stat. 38 (2011), pp. 1395-1405. doi: 10.1080/02664763.2010.505948
26. R.E. Glaser, Bathtub and related failure rate characterization, J. Am. Statist. Assoc. 75 (1980), pp. 667-672. doi: 10.1080/01621459.1980.10477530