Estimation of generalized exponential distribution based on an adaptive progressively type-II censored sample

References

• Balakrishnan N, Aggarwala R. Progressive censoring: theory, methods and applications. Boston, MA: Birkhäuser; 2000.
   Google Scholar
• Balakrishnan N. Progressive censoring methodology: an appraisal (with discussions). Test. 2007;16:211–296. doi: 10.1007/s11749-007-0061-y
   Web of Science ®Google Scholar
• Ng HKT, Chan P-S. Discussion on progressive censoring methodology: an appraisal by N. Balakrishnan. Test. 2007;16:287–289. doi: 10.1007/s11749-007-0071-9
   Web of Science ®Google Scholar
• Mohie El-Din MM, Shafay AR. One- and two-sample Bayesian prediction intervals based on progressively type-II censored data. Statist Pap. 2013;54:287–307. doi: 10.1007/s00362-011-0426-x
   Web of Science ®Google Scholar
• Ng HKT, Kundu D, Chan PS. Statistical analysis of exponential lifetimes under an adaptive type-II progressive censoring scheme. Naval Res Logist. 2009;56:687–698. doi: 10.1002/nav.20371
   Web of Science ®Google Scholar
• Cramer E, Iliopoulos G. Adaptive progressive Type-II censoring. Test. 2010;9:342–358. doi: 10.1007/s11749-009-0167-5
   Web of Science ®Google Scholar
• Mahmoud MAW, Soliman AA, Ellah AHAet al. Estimation of generalized pareto under an adaptive Type-II progressive censoring. Intell Inform Manage. 2013;5:73–83.
   Google Scholar
• Ye ZS, Chan PS, Xie Met al. Statistical inference for the extreme value distribution under adaptive Type-II progressive censoring schemes. J Statist Comput Simul. 2014;84:1099–1114. doi: 10.1080/00949655.2012.740481
   Web of Science ®Google Scholar
• Abd-Elmougod GA, El-Sayed MA, Abdel-Rahman EO. Coefficient of variation of Topp-Leone distribution under adaptive Type-II progressive censoring scheme: Bayesian and Non-Bayesian approaches. J Comput and Theor Nanosci. 2015;12:4028–4035.
   Google Scholar
• Gupta RD, Kundu D. Generalized exponential distributions. Aust NZ J Stat. 1999;41:173–188. doi: 10.1111/1467-842X.00072
   Web of Science ®Google Scholar
• Gupta RD, Kundu D. Generalized exponential distribution: statistical inferences. J Statist Theory Appl. 2002;1:101–118.
   Google Scholar
• Gupta RD, Kundu D. Generalized exponential distribution: existing results and some recent developments. J Statist Plan Inferences. 2007;137:3537–3547. doi: 10.1016/j.jspi.2007.03.030
   Web of Science ®Google Scholar
• Jaheen ZF. Empirical Bayes inference for generalized exponential distribution based on records. Commun Stat Theory Methods. 2004;33:1851–1861. doi: 10.1081/STA-120037445
   Web of Science ®Google Scholar
• Raqab MZ. Inferences for generalized exponential distribution based on record statistics. J Statist Plan Inferences. 2002;104:339–350. doi: 10.1016/S0378-3758(01)00246-4
   Web of Science ®Google Scholar
• Raqab MZ, Madi MT. Bayesian inference for the generalized exponential distribution. J Statist Comput Simul. 2005;75:841–852. doi: 10.1080/00949650412331299166
   Web of Science ®Google Scholar
• Sobhi MMA, Soliman AA. Estimation for the exponentiated Weibull model with adaptive Type-II progressive censored schemes. Appl Math Model. 2015;40:1180–1192. doi: 10.1016/j.apm.2015.06.022
   Web of Science ®Google Scholar
• Greene WH. Econometric analysis. 4th ed. New York: Prentice-Hall; 2000.
   Google Scholar
• Agresti A. Categorical data analysis. 2nd ed. New York: Wiley; 2002.
   Google Scholar
• Robert CP, Casella G. Monte Carlo statistical methods. 2nd ed. New York: Springer; 2004.
   Google Scholar
• Rezaei S, Tahmasbi R, Mahmoodi M. Estimation of P[Y<X] for generalized Pareto distribution. J Statist Plan Inference. 2010;140:480–494. doi: 10.1016/j.jspi.2009.07.024
   Web of Science ®Google Scholar
• Metropolis N, Rosenbluth AW, Rosenbluth MN, et al. Equation of state calculations by fast computing machines. Journal Chemical Physics. 1953;21:1087–1091. doi: 10.1063/1.1699114
   Web of Science ®Google Scholar
• Hastings WK. Monte Carlo sampling methods using Markov chains and their applications. Biometrika. 1970;57:97–109. doi: 10.1093/biomet/57.1.97
   Web of Science ®Google Scholar
• Soliman AA, Abd-Ellah AH, Abou-Elheggag NA, et al. Modified Weibull model: a Bayes study using MCMC approach based on progressive censoring data. Reliab Eng Syst Saf. 2012;100:48–57. doi: 10.1016/j.ress.2011.12.013
   Web of Science ®Google Scholar
• Soliman AA, Abd-Ellah AH, Abou-Elheggag NA, et al. Reliability estimation in stress–strength models: an MCMC approach. Statistics. 2013;47:715–728. doi: 10.1080/02331888.2011.637629
   Web of Science ®Google Scholar
• Lawless JF. Statistical models and methods for lifetime data. New York: Wiley; 1982.
   Google Scholar