References
- Abd Ellah, A. H., & Sultan, K. S. (2005). Exact bayesian prediction of exponential lifetime based on fixed and random sample sizes. QTQM, 2(2), 161–175. doi: 10.1080/16843703.2005.11673091
- Arnold, B. C., Castillo, E., & Sarabia, J. M. (2008). Some characterizations involving uniform and powers of uniform random variables. Statistics, 42(6), 527–534. https://doi.org/10.1080/02331880801987836
- Balakrishnan, N., Beutner, E., & Cramer, E. (2010). Exact two-sample non-parametric confidence, prediction, and tolerance intervals based on ordinary and progressively type-II right censored data. Test, 19(1), 68–91. https://doi.org/10.1007/s11749-008-0133-7
- Barakat, H. M., El-Adll, M. E., & Aly, A. E. (2014). Prediction intervals of future observations for a sample of random size for any continuous distribution. Mathematics and Computers in Simulation, 97, 1–13. https://doi.org/10.1016/j.matcom.2013.06.007
- Barakat, H. M., Khaled, O. M., & Ghonem, H. A. (2018a). Prediction for future data from any continuous distribution. PredictionR. CRAN-R. Institute for Statistics and Mathematics. https://CRAN.R-project.org/package=PredictionR
- Barakat, H. M., Khaled, O. M., & Ghonem, H. A. (2020). Predicting future lifetime for mixture exponential distribution. Communications in Statistics - Simulation and Computation. https://doi.org/10.1080/03610918.2020.1715434
- Barakat, H. M., Nigm, E. M., El-Adll, M. E., & Yusuf, M. (2018b). Prediction for future exponential lifetime based on random number of generalized order statistics under a general set-up. Statistical Papers, 59(2), 605–631. Cornell University. https://doi.org/10.1007/s00362-016-0779-2
- Bernard, C., & Vanduffel, S. (2014, November 18). Quantile of a Mixture (arXiv:1411.4824v1 [stat.OT]).
- Beutner, E., & Kamps, U. (2008). Random contraction and random dilation of generalized order statistics. Communications in Statistics - Theory and Methods, 37(14), 2185–2201. https://doi.org/10.1080/03610920701877594
- Castaño-Martnez, A., López-Blázquez, F., & Salamanca-Miño, B. (2012). Random translations, contractions and dilations of order statistics and records. Statistics, 46(1), 57–67. https://doi.org/10.1080/02331888.2010.495406
- Dellaportas, P., & Wright, D. (1991). Numerical prediction for the two-parameter Weibull distribution. The Statistician, 40(4), 365–372. https://doi.org/10.2307/2348725
- El-Adll, M. E., & Aly, A. E. (2016). Prediction intervals of future generalized order statistics from pareto distribution. Journal of Applied Statistics, 22(1–2), 111–125.
- Hsieh, H. K. (1996). Prediction interval for Weibull observation, based on early-failure data. IEEE Transactions on Reliability, 45(4), 666–670. https://doi.org/10.1109/24.556591
- Kaminsky, K. S., & Rhodin, L. S. (1985). Maximum likelihood prediction. Annals of the Institute of Statistical Mathematics, 37(3), 507–517. https://doi.org/10.1007/BF02481119
- Khan, A. H., Shah Imtiyaz, A., & Ahsanullah, M. (2012). Characterization through distributional properties of order statistics. Journal of the Egyptian Mathematical Society, 20(3), 211–214. https://doi.org/10.1016/j.joems.2012.10.002
- Lawless, J. F. (1982). Statistical model, methods for lifetime data. Wiley.
- Lawless, J. F. (2003). statistical models and methods for lifetime data. Wiley.
- Nagaraja, H. N. (1995). Prediction problems. In N. Balakrishnan & A. P. Basu (Eds.), The exponential distribution: Theory and application (pp. 139–163). Gordon and Breach.
- Oncel, S. Y., Ahsanullah, M., Aliev, F. A., & Aygun, F. (2005). Switching record and order statistics via random contraction. Statistics & Probability Letters, 73(3), 207–217. https://doi.org/10.1016/j.spl.2005.03.004
- Patel, J. K. (1989). Prediction intervals review. Communications in Statistics - Theory and Methods, 18(7), 2393–2465. https://doi.org/10.1080/03610928908830043
- Raqab, M. Z., & Barakat, H. M. (2018). Prediction intervals for future observations based on samples of random sizes. Journal of Mathematics and Statistics, 14(1), 16–28. https://doi.org/10.3844/jmssp.2018.16.28
- Raqab, M. Z., & Nagaraja, H. N. (1995). On some predictions of future order statistic. Metron, 53(1), 185–204.
- Shah, I. A., Barakat, H. M., & Khan, A. H. (2018). Characterization of Pareto and power function distributions by conditional variance of order statistics. Comptes rendus de l’Académie bulgare des Sciences, 71(3), 313–316. doi:10.7546/CRABS.2018.03.01
- Shah Imtiyaz, A., Khan, A. H., & Barakat, H. M. (2014). Random translation, dilation and contraction of order statistics. Statistics & Probability Letters, 92, 209–214. https://doi.org/10.1016/j.spl.2014.05.025
- Shah Imtiyaz, A., Khan, A. H., & Barakat, H. M. (2015). Translation, contraction and dilation of dual generalized order statistics. Statistics & Probability Letters, 107, 131–135. https://doi.org/10.1016/j.spl.2015.08.015
- Valiollahi, R., Asgharzadeh, A., & Kundu, D. (2017). Prediction of future failures for generalized exponential distribution under Type-I or Type-II hybrid censoring. Brazilian Journal of Probability and Statistics, 31(1), 41–61. https://doi.org/10.1214/15-BJPS302
- Wesolowski, J., & Ahsanullah, M. (2004). Switching order statistics through random power contractions. Australian New Zealand Journal of Statistics, 46(2), 297–303. https://doi.org/10.1111/j.1467-842X.2004.00330.x
- Wu, F. S., & Wu, C. C. (2005). Two stage multiple comparisons with the average for exponential location parameters under heteroscedasticity. Journal of Statistical Planning and Inference, 134(2), 392–408. https://doi.org/10.1016/j.jspi.2004.04.015