References
- Akgül, F. G. (2015). Robust estimation of system reliability in stress–strength model using ranked set sampling (Ph.D. diss.) Ankara University, Ankara.
- Akgül, F. G., & Şenoğlu, B. (2014). Estimation of system reliability using ranked set sampling for Weibull distribution. 15th ISEOS, 93, Isparta.
- Badar, M. G., & Priest, A. M. (1982). Statistical aspects of fiber and bundle strength in hybrid composites. In T. Hayashi, K. Kawata, & S. Umekawa (Eds.), Progress in Science and Engineering Composited (pp. 1129–1139). Tokyo: ICCM-IV.
- Beg, M. A. (1980). Estimation of P(Y < X) for exponential family. IEEE Transactions on Reliability, 29, 158–159.10.1109/TR.1980.5220763
- Chen, Z., Bai, Z. D., & Sinha, B. K. (2004). Ranked set sampling: Theory and applications. New York, NY: Springer.10.1007/978-0-387-21664-5
- Constantine, K., Tse, S.-K., & Karson, M. (1986). Estimators of P(Y < X) in the gamma case. Communications in Statistics – Simulation and Computation, 15, 365–388.10.1080/03610918608812513
- Dell, T. R., & Clutter, J. L. (1972). Ranked set sampling theory with order statistics background. Biometrics, 28, 545–553.10.2307/2556166
- Dong, X., Zhang, L., & Li, F. (2013). Estimation of reliability for exponential distributions using ranked set sampling with unequal samples. Quality Technology and Quantitative Management, 10, 319–328.10.1080/16843703.2013.11673417
- Downton, F. (1973). On the estimation of Pr(Y < X) in the normal case. Technometrics, 15, 551–558.
- Ghitany, M. E. (2005). On reliability estimation based on ranked set sampling. Communications in Statistics – Theory Methods, 34, 1213–1216.10.1081/STA-200056805
- Ghitany, M. E., Al-Mutairi, D. K., & Aboukhamseen, S. M. (2015). Estimation of the reliability of a stress – strength system from power lindley distributions. Communications in Statistics – Simulation and Computation, 44, 118–136.10.1080/03610918.2013.767910
- Ismail, R., Jeyaratnam, S., & Panchapakesan, S. (1986). Estimation of P(X > Y) for gamma distributions. Journal of Statistical Computation and Simulation, 26, 253–267.10.1080/00949658608810967
- Kotz, S., Lumelskii, Y., & Pensky, M. (2003). The stress – strength model and ıts generalizations. Singapore: World Scientific Press.10.1142/5015
- Kundu, D., & Gupta, R. D. (2006). Estimation of P(Y < X) for Weibull distributions. IEEE Transactions on Reliability, 55, 270–280.10.1109/TR.2006.874918
- Lin, C., & Ke, S. (2013). Estimation of P(Y < X) for location-scale distributions under joint progressively type-II right censoring. Quality Technology and Quantitative Management, 10, 339–352.10.1080/16843703.2013.11673419
- McIntyre, G. A. (1952). A method for unbiased selective sampling, using ranked sets. Australian Journal of Agricultural Research, 3, 385–390.10.1071/AR9520385
- Meeker, W. Q., & Escobar, L. A. (1998). Statistical methods for reliability data. New York, NY: Wiley.
- Muttlak, H. A., Abu-Dayyeh, W. A., Saleh, M. F., & Al-Sawi, E. (2010). Estimating P(Y < X) using ranked set sampling in case of the exponential distribution. Communications in Statistics – Theory Methods, 39, 1855–1868.10.1080/03610920902912976
- Nelson, W. (1990). Accelerated testing. New York, NY: Wiley.10.1002/SERIES1345
- Patil, G. P., Sinha, A. K., & Taille, C. (1993). Relative precision of ranked set sampling: A comparison with the regression estimator. Environmetrics, 4, 399–412.10.1002/(ISSN)1099-095X
- Puthenpura, S., & Sinha, N. K. (1986). Modified maximum likelihood method for the robust estimation of system parameters from very noisy data. Automatica, 22, 231–235.10.1016/0005-1098(86)90085-3
- Salazar, R. D., & Sinha, A. K. (1997). Control chart X bar based on ranked set sampling. Technical report, Department of Probability and Statistics, Centro de Investigation en Matematicas (CIMAS).
- Sengupta, S., & Mukhuti, S. (2008a). Unbiased estimation of P(X > Y) for exponential populations using order statistics with application in ranked set sampling. Communications in Statistics – Theory Methods, 37, 898–916.10.1080/03610920701693892
- Sengupta, S., & Mukhuti, S. (2008b). Unbiased estimation of P(X > Y) using ranked set sampling data. Statistics, 42, 223–230.10.1080/02331880701823271
- Smith, R. L. (1985). Maximum likelihood estimation in a class of non regular cases. Biometrika, 72, 67–90.10.1093/biomet/72.1.67
- Takahasi, K., & Wakimoto, K. (1968). On unbiased estimates of the population mean based on the sample stratified by means of ordering. Annals of the Institute of Statistical Mathematics, 20(1), 1–31.10.1007/BF02911622
- Tiku, M. L. (1967). Estimating the mean and standard deviation from a censored normal sample. Biometrika, 54, 155–165.10.1093/biomet/54.1-2.155
- Tiku, M. L. (1968). Estimating the parameters of log-normal distribution from a censored sample. Journal of American Statistical Association, 63, 134–140.
- Tiku, M. L., & Akkaya, A. D. (2004). Robust estimation and hypothesis testing. New Delhi: New Age International.
- Vaughan, D. C. (2002). The generalized secant hyperbolic distribution and its properties. Communications in Statistics – Theory Methods, 31, 219–238.10.1081/STA-120002647
- Zheng, G., & Al-Saleh, M. F. (2002). Modified maximum likelihood estimators based on ranked set sampling. Annals of the Institute of Statistical Mathematics, 54, 641–658.10.1023/A:1022475413950