Bayes Estimator of the Parameter and Reliability Function of Marshall-Olkin Extended Exponential Distribution Using Hybrid Type-II Censored Data

References

• Epstein.B (1954) Truncated life tests in the exponential case, Ann. Math. Statist., 25, 555–564. doi: 10.1214/aoms/1177728723
   Google Scholar
• Fairbanks.K, Madson.R, Dykstra.R (1982) A confidence interval for an exponential parameter from a hybrid life test, J. Amer. Statist. Assoc., 77, 137–140. doi: 10.1080/01621459.1982.10477776
   Web of Science ®Google Scholar
• Chen.S, Bhattacharya.G.K (1988) Exact confidence bounds for an exponential parameter under hybrid censoring, Comm. Statist. Theor. Meth., 17, 1857–1870. doi: 10.1080/03610928808829718
   Web of Science ®Google Scholar
• Draper.N, Guttman.I (1987) Bayesian analysis of hybrid life tests with exponential failure times, Ann. Inst. Statist. Math., 39, 219–225. doi: 10.1007/BF02491461
   Web of Science ®Google Scholar
• Ebrahimi.N (1990) Estimating the parameter of an exponential distribution from hybrid life test, J. Statist. Plann. Inference., 23, 255–261.
   Google Scholar
• Dube.S, Pradhan.B, Kundu.D (2011) Parameter estimation of the hybrid censored log-normal distribution, J. Statist. Comput. Simul., 81, 275–287. doi: 10.1080/00949650903292650
   Web of Science ®Google Scholar
• Kundu.D, Pradhan.B (2009) Estimating the parameters of the generalized exponential distribution in presence of hybrid censoring, Comm. Statist. Theor. Meth., 38, 2030–2041. doi: 10.1080/03610920802192505
   Web of Science ®Google Scholar
• Gupta.R.D, Kundu.D (1998) Hybrid censoring schemes with exponential failure distribution, Commun. Statist. Theor. Meth., 27, 3065–3083. doi: 10.1080/03610929808832273
   Web of Science ®Google Scholar
• MIL-STD-781C (1977), Reliability Design Qualification and Production Acceptance Test, Exponential Distribution, U.S. Government Printing Oce, Washington, D.C.
   Google Scholar
• A. W. Marshall and I. Olkin, A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families, Biometrika, 84 (1997), 641–652. doi: 10.1093/biomet/84.3.641
   Web of Science ®Google Scholar
• G. S. Rao, M. E. Ghitany and R. R. L. Kantam, Reliability test plans for Marshall-Olkin extended exponential distribution, Applied Mathematical Science, Vol 3, 2009, no. 55, 2745–2755.
   Google Scholar
• Childs.A, Chandrasekhar.B, Balakrishnan.N, Kundu.D (2003) Exact likelihood inference based on Type-I and Type-II hybrid censored samples from the exponential dis-tribution, Ann. Instit. Statist. Math., 55, 319–330.
   Web of Science ®Google Scholar
• Banerjee.A, Kundu.D (2008) Inference based on Type-II hybrid censored data from a Weibull distribution, IEEE Trans. Reliab., 57, 369–378. doi: 10.1109/TR.2008.916890
   Web of Science ®Google Scholar
• S. K. Singh, U. Singh and Abhimanyu S. Yadav, Bayesian Estimation of MarshallOlkin Extended Exponential Parameters Under Various Approximation Techniques, accepted in Hecettepe Journal of Mathematics and Statistics, article in press July 2013.
   Google Scholar
• Bjerkedal.T (1960) Acquisition of resistance in guinea pigs infected with different doses of virulent tubercle bacilli, Amer. J. Hyg., 72, 130–148.
   PubMed Web of Science ®Google Scholar
• A.F.M. Smith and G.O. Roberts. Bayesian computation via the Gibbs sampler and related Markov Chain Monte Carlo methods. Journal of the Royal Statistical Society: Series B, 55:3–23, 1993.
   Google Scholar
• S.K. Upadhyay, N. Vasishta, and A.F.M. Smith. Bayes inference in life testing and reliability via Markov Chain Monte Carlo simulation. Sankhya A, 63:15–40, 2001.
   Google Scholar
• M.H. Chen and Q.M. Shao. Monte carlo estimation of Bayesian credible and HPD intervals. Journal of Computational and Graphical Statistics, 6:66–92, 1998.
   Google Scholar
• Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H. and Teller, E. (1953). Equations of state calculations by fast computing machines. Journal of Chemical Physics, 21, 1087–1092.
   Google Scholar
• S. Geman and A. Geman, Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images, IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 6, pp. 721–740, 1984.
   Google Scholar
• H. Akaike, A new look at the statistical models identification, IEEE Trans. Autom. Control 19 (1974), pp. 716–723.
   Google Scholar
• G. Schwarz, Estimating the dimension of a model, Ann. Stat. 6(2) (1978), pp. 421–464.
   Google Scholar