309
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

The exponentiated G geometric family of distributions

, &
Pages 1634-1650 | Received 16 Sep 2013, Accepted 17 Jan 2014, Published online: 14 Feb 2014

References

  • Adamidis K, Loukas S. A lifetime distribution with decreasing failure rate. Statist Probab Lett. 1998;39:35–42. doi: 10.1016/S0167-7152(98)00012-1
  • Marshall AW, Olkin I. A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families. Biometrika. 1997;84:641–652. doi: 10.1093/biomet/84.3.641
  • Nadarajah S. The exponentiated exponential distribution: a survey. AStA Adv Statist Anal. 2011;95:219–251. doi: 10.1007/s10182-011-0154-5
  • Mudholkar GS, Srivastava DK, Freimer M. The exponentiated Weibull family. Technometrics. 1995;37:436–45. doi: 10.1080/00401706.1995.10484376
  • Gupta RC, Gupta PL, Gupta RD. Modeling failure time data by Lehmann alternatives. Comm Statist Theory Methods. 1998;27:887–904. doi: 10.1080/03610929808832134
  • Gupta RD, Kundu D. Exponentiated exponential family: an alternative to gamma and Weibull distributions. Biom J. 2001;43:117–130. doi: 10.1002/1521-4036(200102)43:1<117::AID-BIMJ117>3.0.CO;2-R
  • Nadarajah S, Gupta AK. The exponentiated gamma distribution with application to drought data. Calcutta Statist Assoc Bull. 2007;59:29–54.
  • Nadarajah S, Kotz S. The exponentiated type distributions. Acta Appl Math. 2006;92:97–111. doi: 10.1007/s10440-006-9055-0
  • Carrasco JMF, Ortega EMM, Cordeiro GM. A generalized modified Weibull distribution for lifetime modeling. Comput Statist Data Anal. 2008;53:450–462. doi: 10.1016/j.csda.2008.08.023
  • Paranaíba PF, Ortega EMM, Cordeiro GM, Pescim RR. The beta Burr XII distribution with application to lifetime data. Comput Statist Data Anal. 2011;55:1118–1136. doi: 10.1016/j.csda.2010.09.009
  • Cordeiro GM, de Castro M. A new family of generalized distributions. J Stat Comput Simul. 2011;81:883–898. doi: 10.1080/00949650903530745
  • Gradshteyn IS, Ryzhik IM. Table of integrals, series, and products. New York: Academic Press; 2000.
  • Leadbetter MR, Lindgren G, Rootzén H. Extremes and related properties of random sequences and processes. New York: Springer Verlag; 1987.
  • Hashimoto EM, Ortega EMM, Cancho VG, Cordeiro GM. The log-exponentiated Weibull regression model for interval-censored data. Comput Statist Data Anal. 2010;54:1017–1035. doi: 10.1016/j.csda.2009.10.014
  • Ortega EMM, Cordeiro GM, Carrasco, JMF. The log-generalized modified Weibull regression model. Braz J Probab Stat. 2011a;25:64–892. doi: 10.1214/09-BJPS110
  • Ortega EMM, Cordeiro GM, Hashimoto EM. A log-linear regression model for the beta-Weibull distribution. Comm Statist Simulation Comput. 2011b;40:1206–1235. doi: 10.1080/03610918.2011.568150
  • Balakrishnan N, Leiva V, Sanhueza A, Cabrera E. Mixture inverse Gaussian distribution and its transformations, moments and applications. Statistics. 2009;43:91–104. doi: 10.1080/02331880701829948
  • Cordeiro GM, Nadarajah S, Ortega EMM. General results for the beta Weibull distribution. J Statist Comput Simul. 2013;83:1082–1114. doi: 10.1080/00949655.2011.649756
  • Hirose H. Estimation of threshold stress in accelerated life-testing. IEEE Trans Reliab. 1993;42:650–657. doi: 10.1109/24.273601
  • Ortega EMM, Cordeiro GM, Lemonte AJ. A log-linear regression model for the β-Birnbaum-Saunders distribution with censored data. Comput Statist Data Anal. 2011c;56:698–718. doi: 10.1016/j.csda.2011.09.018
  • Wang W, Kececioglu DB. Fitting the Weibull log-linear model to accelerated life-test data. IEEE Trans Reliab. 2000;49:217–223. doi: 10.1109/24.877341

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.