A New Generalized Exponential Geometric Distribution

References

• Adamidis , K. , Loukas , S. ( 1998 ). A lifetime distribution with decreasing failure rate . Statist. Probab. Lett. 39 : 35 – 42 .
   Web of Science ®Google Scholar
• Adamidis , K. , Dimitrakopoulou , T. , Loukas , S. ( 2005 ). On an extension of the exponential-geometric distribution . Statist. Probab. Lett. 73 : 259 – 269 .
   Web of Science ®Google Scholar
• Barreto-Souza , W. , Lemos-Morais , A. , Cordeiro , G.M. ( 2011 ). The Weibull-geometric distribution . J. Statist. Computat. Simul. 81 ( 5 ): 645 – 657 .
   Web of Science ®Google Scholar
• Bidram , H. , Behboodian , J. , Towhidi , M. ( 2011 ). The beta Weibull-geometric distribution . J. Statist. Computat. Simul.
   PubMed Web of Science ®Google Scholar
• Birnbaum , Z. W. , Saunders , S. C. ( 1969 ). Estimation for a family of life distributions with applications to fatigue . J. Appl. Probab. 6 : 328 – 347 .
   Web of Science ®Google Scholar
• Cordeiro , G. M. , Silva , G. O. , Ortega , E. M. M. ( 2011 ). The beta-Weibull geometric distribution. Statistics. DOI: 10.1080/02331888.2011.577897 .
   Google Scholar
• Dupuis , D. J. , Mills , J. E. ( 1998 ). Robust estimation of the Birnbaum-Saunders distribution . IEEE Trans. Reliab. 47 ( 1 ): 88 – 95 .
   Web of Science ®Google Scholar
• Ferguson , T. S. ( 1996 ). A Course in Large Sample Theory . London : Chapman and Hall .
   Google Scholar
• Glaser , R. E. ( 1980 ). Bathtub and related failure rate characterizations . J. Amer. Statist. Assoc. (JASA) 75 ( 371 ): 667 – 672 .
   Web of Science ®Google Scholar
• Gupta , R. D. , Kundu , D. ( 1999 ). Generalized exponential distributions . Austral. NZ J. Statist. 41 ( 2 ): 173 – 188 .
   Web of Science ®Google Scholar
• Kozubowski , T. J. , Panorska , A. K. ( 2008 ). A mixed bivariate distribution connected with geometric maxima of exponential variables . Commun. Statist. Theor. Meth. 37 : 2903 – 2923 .
   Web of Science ®Google Scholar
• Kus , C. ( 2007 ). A new lifetime distribution . Computat. Statist. Data Anal. 51 : 4497 – 4509 .
   Web of Science ®Google Scholar
• Marshall , A. W. , Olkin , I. ( 1997 ). A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families . Biometrika 84 ( 3 ): 641 – 652 .
   Web of Science ®Google Scholar
• Mudholkar , G. S. , Srivastava , D. k. , Freimer , M. ( 1995 ). The exponentiated Weibull family: A reanalysis of the bus-motor-failure data . Technometrics 37 : 436 – 445 .
   Web of Science ®Google Scholar
• Nadarajah , S. , Kotz , S. ( 2006 ). The beta exponential distribution . Reliab. Eng. Syst. Safety 91 : 689 – 697 .
   Web of Science ®Google Scholar
• Nichols , M. D. , Padgett , W. J. ( 2006 ). A bootstrap control chart for Weibull percentiles . Qual. Reliab. Eng. Int. 22 : 141 – 151 .
   Web of Science ®Google Scholar
• Pal , M. , Ali , M. M. , Woo , J. ( 2006 ). Exponentiated Weibull distribution. Statistica 66(2): 139–147 .
   Google Scholar
• Silva , R. B. , Barreto-Souza , W. , Cordeiro , G. M. ( 2010 ). A new distribution with decreasing, increasing and upside-down bathtub failure rate. Computat. Statist. Data Anal. 54: 935–944 .
   Google Scholar
• Tahmasbi , R. , Rezaei , S. ( 2008 ). A two-parameter lifetime distribution with decreasing failure rate . Computat. Statist. Data Anal. 52 : 3889 – 3901 .
   Web of Science ®Google Scholar