Estimation of P(Y < X) for the Three-Parameter Generalized Exponential Distribution

References

• Awad , A. M. , Azzam , M. M. , Hamdan , M. A. ( 1981 ). Some inference results in P(Y < X) in the bivariate exponential model . Commun. Statist. Theor. Meth. 10 : 2515 – 2524 .
   Web of Science ®Google Scholar
• Badar , M. G. , Priest , A. M. ( 1982 ). Statistical aspects of fiber and bundle strength in hybrid composites . In: Hayashi , T. , Kawata , K. , Umekawa , S. , eds. Tokyo: ICCM-IV , pp. 1129 – 1136 .
   Google Scholar
• Chen , M. H. , Shao , Q. M. ( 1999 ). Monte Carlo estimation of Bayesian credible intervals and HPD intervals . J. Computat. Graphic. Statist. 8 ( 1 ): 69 – 92 .
   Web of Science ®Google Scholar
• Efron , B. ( 1982 ). The Jackknife, Bootstrap and other Re-sampling Plans . Philadelphia : Society for Industrial and Applied Mathematics .
   Google Scholar
• Gupta , R. D. , Kundu , D. ( 1999 ). Generalized exponential distribution . Austral. N. Z. Statist. 41 ( 2 ): 173 – 188 .
   Web of Science ®Google Scholar
• Gupta , R. D. , Kundu , D. ( 2001a ). Exponentiated exponential distribution, an alternative to Gamma and Weibull distributions . Biometrical J. 43 ( 1 ): 117 – 130 .
   Web of Science ®Google Scholar
• Gupta , R. D. , Kundu , D. ( 2001b ). Generalized exponential distributions: different methods of estimation . J. Statist. Comput. Simul. 69 ( 4 ): 315 – 338 .
   Web of Science ®Google Scholar
• Gupta , R. D. , Kundu , D. ( 2003 ). Closeness of Gamma and generalized exponential distribution . Commun. Statist. Theor. Meth. 32 ( 4 ): 705 – 721 .
   Web of Science ®Google Scholar
• Kundu , D. , Gupta , R. D. ( 2005 ). Estimation of P(Y < X) for generalized exponential distribution . Metrika 61 ( 3 ): 291 – 308 .
   Web of Science ®Google Scholar
• Kotz , S. , Lumelskii , Y. , Pensky , M. ( 2003 ). The Stress-Strength Model and its Generalizations . New York : World Scientific .
   Google Scholar
• Press , W. H. , Flannery , B. P. , Teukolsky , S. A. , Vetterling , W. T. ( 1991 ). Numerical Recipes: The Art of Scientific Computing . Cambridge , U.K. : Cambridge University Press .
   Google Scholar
• Raqab , M. Z. ( 2002 ). Inferences for generalized exponential distribution based on record statistics . J. Statist. Plann. Infer. 104 ( 2 ): 339 – 350 .
   Web of Science ®Google Scholar
• Raqab , M. Z. , Ahsanullah , M. (2001). Estimation of location and scale parameters of generalized exponential distribution based on order statistics. J. Statist. Computat. Simul. 69(2):109–124.
   Web of Science ®Google Scholar
• Raqab , M. Z. , Kundu , D. ( 2005 ). Comparison of different estimators of P(Y < X) for a scaled Burr Type X distribution . Commun. Statist. Simul. Computat. 34 ( 2 ): 465 – 483 .
   Web of Science ®Google Scholar
• Surles , J. G. , Padgett , W. J. ( 1998 ). Inference for P(Y < X) in the Burr Type X model . J. Appl. Statist. Sci. 5 : 225 – 238 .
   Google Scholar
• Surles , J. G. , Padgett , W. J. ( 2001 ). Inference for reliability and stress-strength for a scaled Burr Type X distribution . Lifetime Data Analysis 7 : 187 – 200 .
   PubMed Web of Science ®Google Scholar