Estimation and prediction for Type-I hybrid censored data from generalized Lindley distribution

References

• E. AL-Hussaini, Predicting observables from general class of distribution, Journal of Statistical Planning and Inference 79 (1999) 79–91. doi: 10.1016/S0378-3758(98)00228-6
   Web of Science ®Google Scholar
• N. Balakrishnan, R. Shafay, One- and two-sample Bayesian prediction intervals based on Type-II hybrid censored data, Communications in Statistics - Theory and Methods 41 (2012) 1511–1531. doi: 10.1080/03610926.2010.543300
   Web of Science ®Google Scholar
• M. Chen, Q. Shao, Monte carlo estimation of Bayesian credible and HPD intervals, Journal of Computational and Graphical Statistics 6 (1998) 66–92.
   Google Scholar
• S. Chen, G. Bhattacharyya, Exact condence bound for an exponential under hybrid censoring, Communication in Statistics - Theory and Methods 17 (1988) 1858–1870.
   Google Scholar
• I. Dansmore, The Bayesian predictive distribution in life testing models, Technometrics 16 (1974) 455–460. doi: 10.1080/00401706.1974.10489216
   Web of Science ®Google Scholar
• N. Draper, I. Guttman, Bayesina analysis of hybrid tests with exponential failure times, Annals of the Institute of Statistical Mathematics 39 (1987) 219–225. doi: 10.1007/BF02491461
   Web of Science ®Google Scholar
• N. Ebrahmini, Prediction intervals for future failures in the exponential distribution under hybrid censoring, IEEE Transaction on Reliability 41 (1992) 127–132. doi: 10.1109/24.126685
   Web of Science ®Google Scholar
• B. Epstein, Truncated life test in the exponential case, Annals of Mathematical Statistics 25 (1954) 555–564. doi: 10.1214/aoms/1177728723
   Google Scholar
• M. Ghitany, B. Atieh, S. Nadarajah, Lindley distribution and its application, Mathematics and Computers in Simulation 78 (2008) 493–506. doi: 10.1016/j.matcom.2007.06.007
   Web of Science ®Google Scholar
• P. K. Gupta, B. Singh, Parameter estimation of Lindley distribution with hybrid censored data, International Journal of System Assurance Engineering and Management 1 (2012) 1–8.
   Google Scholar
• R. Gupta, D. Kundu, Hybrid censoring schemes with exponential failure distribution, Communication in Statistics - Theory and Methods 27 (1998) 3065–3083. doi: 10.1080/03610929808832273
   Web of Science ®Google Scholar
• H. Krishna, K. Kumar, Reliability estimation in Lindley distribution with progressively Type-II right censored sample, Mathematics and Computers in Simulation 82 (2011) 281–294. doi: 10.1016/j.matcom.2011.07.005
   Web of Science ®Google Scholar
• D. Kundu, On hybrid censored Weibull distribution, Journal of Statistical Planning and Inference 137 (2007) 2127–2142. doi: 10.1016/j.jspi.2006.06.043
   Web of Science ®Google Scholar
• D. Lindley, Fiducial distributions and Bayes theorem, Journal of the Royal Statistical Society: Series B 20 (1958) 102–107.
   Google Scholar
• MIL-STD-781C, Reliability design qualication and production acceptance test, exponential distribution, in: U.S. Government printing oce, Washington, DC, 1977.
   Google Scholar
• S. Nadarajah, H. Bakouch, R. Tahmasbi, A generalized Lindley distribution, Sankhya B - Applied and Interdisciplinary Statistics 73 (2011) 331–359. doi: 10.1007/s13571-011-0025-9
   Google Scholar
• S. Park, N. Balakirshnan, A very exible hybrid censoring scheme and its Fisher information, Journal of Statistical Computation and Simulation 82 (2012) 41–50. doi: 10.1080/00949655.2010.521503
   Web of Science ®Google Scholar
• M. K. Rastogi, Y. M. Tripathi, Inference on unknown parameters of a burr distribution under hybrid censoring, Statistical Papers 53 (2012) 1–25. doi: 10.1007/s00362-010-0338-1
   Web of Science ®Google Scholar
• R. Shafay, N. Balakrishnan, One and two sample Bayesian prediction intervals based on Type-I hybrid censored data, Communication in Statistics - Simulation and Computation 41 (2012) 65–88. doi: 10.1080/03610918.2011.579367
   Web of Science ®Google Scholar
• V. K. Sharma, S. K. Singh, U. Singh, V. Agiwal, The inverse Lindley distribution: a stress-strength reliability model with application to head and neck cancer data, Journal of Industrial and Production Engineering, 32 (2015), 162–173. doi: 10.1080/21681015.2015.1025901
   Web of Science ®Google Scholar
• V. K. Sharma, S. K. Singh, U. Singh, F. Merovci, The generalized inverse Lindley distribution: A new inverse statistical model for the study of upside-down bathtub data, In press, 2014, Communications in Statistics: Theory and Methods.
   Google Scholar
• S. K. Singh, U. Singh, V. K. Sharma, Bayesian estimation and prediction for exible Weibull model under Type-II censoring scheme, Journal of Probability and Statistics 2013 (2013) 16 pages, http://dx.doi.org/10.1155/2013/146140.
   Google Scholar
• S. K. Singh, U. Singh, V. K. Sharma, Bayesian prediction of future observations from inverse Weibull distribution based on Type-II hybrid censored sample, International Journal of Advanced Statistics and Probability 1 (2013) 32–43. doi: 10.14419/ijasp.v1i2.857
   Google Scholar
• S. K. Singh, U. Singh, V. K. Sharma, Expected total test time and Bayesian estimation for generalized Lindley distribution under progressively Type-II censored sample where removals follow the beta-binomial probability law, Applied Mathematics and Computation 222 (2013) 402–419. doi: 10.1016/j.amc.2013.07.058
   Web of Science ®Google Scholar
• S. K. Singh, U. Singh, V. K. Sharma, Bayesian estimation and prediction for the generalized Lindley distribution under assymetric loss function, Hacettepe Journal of Mathematics and Statistics 43 (2014) 661–678.
   Web of Science ®Google Scholar
• S. K. Singh, U. Singh, V. K. Sharma, Estimation on System Reliability in Generalized Lindley Stress-Strength Model, Journal of Statistics Applications and Probability 3 (2014) 61–75. doi: 10.18576/jsap/030106
   Google Scholar