On progressively censored generalized inverted exponential distribution

References

• A.M. Abouammoh and A.M. Alshingiti, Reliability of generalized inverted exponential distribution, J. Stat. Comput. Simul. 79(11) (2009), pp. 1301–1315. doi: 10.1080/00949650802261095
   Web of Science ®Google Scholar
• E.A. Ahmed, Bayesian estimation based on progressive type-II censoring from two-parameter bathtub-shaped lifetime model: An Markov chain Monte Carlo approach, J. Appl. Stat.(2013). 10.1080/02664763.2013.847907
   Web of Science ®Google Scholar
• E.K. Al-Hussaini, Predicting observable from a general class of distributions, J. Stat. Plan. Inference 79 (1999), pp. 79–91. doi: 10.1016/S0378-3758(98)00228-6
   Web of Science ®Google Scholar
• R.A. Al-Jarallah and E.K. Al-Hussaini, Bayes inference under a finite mixture of two-compound Gompertz components model, J. Stat. Comput. Simul. 77 (2007), pp. 915–927. doi: 10.1080/10629360600851982
   Web of Science ®Google Scholar
• M.A.M. Ali Mousa and S.A. Al-Sagheer, Bayesian prediction for progressively type-II censored data from the Rayleigh model, Commun. Stat. Theory Methods 34 (2005), pp. 2353–2361. doi: 10.1080/03610920500313767
   Web of Science ®Google Scholar
• N. Balakrishnan and R. Aggarwala, Progressive Censoring: Theory, Method and Applications, Birkhauser and Publishers, Boston, MA, 2000.
   Google Scholar
• N. Balakrishnan, E. Beutner, and E. Cramer, Exact two-sample non-parametric confidence, prediction, and tolerance intervals based on ordinary and progressively type- II right censored data, Test 19 (2010), pp. 68–91. doi: 10.1007/s11749-008-0133-7
   Web of Science ®Google Scholar
• N. Balakrishnan and C.R. Rao, Large sample approximations to best linear unbiased estimation and best linear unbiased prediction based on progressively censored samples and some applications, in Advances in Statistical Decision Theory and Applications, S. Panchapakesan and N. Balakrishnan, eds., Birkhauser, Boston, MA, 1997, pp. 431–444.
   Google Scholar
• N. Balakrishnan and R.A. Sandhu, A simple algorithm for generating progressively type-II generated samples, Am. Stat. 49 (1995), pp. 229–230.
   Web of Science ®Google Scholar
• I. Basak, P. Basak, and N. Balakrishnan, On some predictors of times to failure of censored items in progressively censored samples, Comput. Stat. Data Anal. 50 (2006), pp. 1313–1337. doi: 10.1016/j.csda.2005.01.011
   Web of Science ®Google Scholar
• M.H. Chen and Q.M. Shao, Monte Carlo estimation of Bayesian credible and HPD intervals, J. Comput. Graph. Stat. 8(1) (1999), pp. 69–92.
   Web of Science ®Google Scholar
• A.C. Cohen, Progressively censored samples in life testing, Technometrics 5 (1963), pp. 327–329. doi: 10.1080/00401706.1963.10490102
   Web of Science ®Google Scholar
• A.C. Cohen, Life testing and early failure, Technometrics 8 (1966), pp. 539–549. doi: 10.2307/1266699
   Web of Science ®Google Scholar
• S. Dey, Inverted exponential distribution as a life distribution model from a Bayesian viewpoint, Data Sci. J. 6(29) (2007), pp. 107–113. doi: 10.2481/dsj.6.107
   Google Scholar
• S. Dey and T. Dey, Generalized inverted exponential distribution: Different methods of estimation, Amer. J. Math. Management Sci., forthcoming.
   Google Scholar
• J.A. Fernandez, On estimating exponential parameters with general type-II progressive censoring. J. Stat. Plan. Inference 121(1) (2004), pp. 135–147. doi: 10.1016/S0378-3758(03)00083-1
   Web of Science ®Google Scholar
• R.D. Gupta and D. Kundu, Generalized exponential distributions, Aust. N. Z. J. Stat. 41(2) (1999), pp. 173–188. doi: 10.1111/1467-842X.00072
   Web of Science ®Google Scholar
• S.M. Khan, Theoretical analysis of inverse generalized exponential models, 2009 International Conference on Machine Learning and Computing IPCSIT, Vol. 3, IACSIT Press, Singapore, 2011, pp. 1–7.
   Google Scholar
• S. Kotz and S. Nadarajah, Extreme Value Distributions: Theory and Applications, Imperial College Press, London, 2000.
   Google Scholar
• H. Krishna and K. Kumar, Reliability estimation in generalized inverted exponential distribution with progressively type II censored sample, J. Stat. Comput. Simul. 83(6) (2013), pp. 1007–1019. doi: 10.1080/00949655.2011.647027
   Web of Science ®Google Scholar
• D. Kundu and H. Howlader, Bayesian inference and prediction of the inverse Weibull distribution for type II censored data, Comput. Stat. Data Anal. 54 (2010), pp. 1547–1558. doi: 10.1016/j.csda.2010.01.003
   Web of Science ®Google Scholar
• D. Kundu and B. Pradhan, Bayesian inference and life testing plans for generalized exponential distribution, Sci. China Ser. A: Math. (Special volume dedicated to Professor Z.D. Bai) 52(6) (2009), pp. 1373–1388. doi: 10.1007/s11425-009-0085-8
   Google Scholar
• D. Kundu and M. Raqab, Bayesian inference and prediction for a type-II censored Weibull distribution, J. Stat. Plan. Inference 142 (2012), pp. 41–47. doi: 10.1016/j.jspi.2011.06.019
   Web of Science ®Google Scholar
• J.F. Lawless, Statistical Models and Methods for Lifetime Data, John Wiley and Sons, New York, 1982.
   Google Scholar
• C.T. Lin, B.S. Duran, and T.O. Lewis, Inverted Gamma as a life distribution, Microelectron. Reliab. 29(4) (1989), pp. 619–626. doi: 10.1016/0026-2714(89)90352-1
   Web of Science ®Google Scholar
• D.V. Lindley, Approximate Bayesian methods (with discussions), Trabajos de Estadistica 31 (1980), pp. 232–245.
   Google Scholar
• N.R. Mann, Best linear invariant estimation for Weibull parameters under progressive censoring, Technometrics 13 (1971), pp. 521–533. doi: 10.1080/00401706.1971.10488815
   Web of Science ®Google Scholar
• S. Nadarajah and S. Kotz, The exponentiated Fréchet distribution. Available at: interstat.statjournals.net, article number: 0312001, 2003, pp. 1–7.
   Google Scholar
• G.S. Rao, Estimation of reliability in multicomponent stress-strength based on generalized inverted exponential distribution, Int. J. Curr. Res. Rev. 4(21) (2012), pp. 48–56.
   Google Scholar
• M.K. Rastogi, Y.M. Tripathi, and S.-J. Wu, Estimating the parameters of a bathtub-shaped distribution under progressive type-II censoring, J. Appl. Stat. 39(11) (2012), pp. 2389–2411. doi: 10.1080/02664763.2012.710899
   Web of Science ®Google Scholar
• S.K. Singh, U. Singh, and D. Kumar, Bayesian estimation of parameters of inverse Weibull distribution, J. Appl. Stat. 40(7) (2013), pp. 1597–1607. doi: 10.1080/02664763.2013.789492
   Web of Science ®Google Scholar
• D.R. Thomas and W.M. Wilson, Linear order statistic estimation for the two-parameter Weibull and extreme value distributions from type II progressively censored samples, Technometrics 14 (1972), pp. 679–691. doi: 10.1080/00401706.1972.10488957
   Web of Science ®Google Scholar
• Y. Tian, Q. Zhu, and M. Tian, Inference for mixed generalized exponential distribution under progressively type-II censored samples, J. Appl. Stat. 41(3) (2014), pp. 660–676. doi: 10.1080/02664763.2013.847070
   Web of Science ®Google Scholar