References
- Al-Mutairi, D.K., Ghitany, M.E., Gupta, R.C. (2011). Estimation of reliability from a series system with random sample size. Computat. Statist. Data Anal. 55:964–972.
- Al-Mutairi, D.K., Ghitany, M.E., Kundu, D. (2013). Inference on stress-strength reliability from Lindley distribution. Commun. Statist. Theor. Meth. 42:1443–1463.
- Andrews, L.C. (1998). Special Functions of Mathematics for Engineers. 2nd ed. Oxford: Oxford University Press.
- Bader, M.G., Priest, A.M. (1982). Statistical aspects of fiber and bundle strength in hybrid composites. In Progress in Science and Engineering Composites, (T. Hayashi, K. Kawata, and S. Umekawa, eds.), vol. , pp. 1129–1136.
- Barlow, R.E., Campo, R. (1975). Total time on test processes and applications to failure rate analysis. In R.E. Barlow, J. Fussell, N.D. Singpurwalla (Editors), Reliability and Fault Tree Analysis, pp. 451–481, SIAM, Philadelphia.
- Birnbaum, Z.W. (1956). On a use of Mann-Whitney statistics, In Proceedings of the third Berkley Symposium in Mathematics, Statistics and Probability, vol. , 13–17.
- Efron, B., Tibshirani, R.J. (1998). An Introduction to Bootstrap. New York: Chapman & Hall.
- Erdélyi, A., Magnus, W., Oberhettinger, F., Tricomi, F.G. (1954). Tables of Integral Transforms. New York: McGraw-Hill.
- Ghitany, M.E., Atieh, B., Nadarajah, S. (2008). Lindley distribution and its application. Math. Comput. Simul. 78:493–506.
- Ghitany, M.E., Al-qallaf, F., Al-Mutairi, D.K., Husain, H. A.S. (2011). A two-parameter weighted Lindley distribution and its applications to survival data. Math. Comput. Simul. 8:1190–1201.
- Ghitany, M.E., Al-Mutairi, D.K., Aboukhamseen, S.M. (2015). Estimation of the reliability of a stress-strength system from power Lindley distributions. Commun. Statist. Simul. Computat. 44(1): 118–136.
- Gupta, R.C., Li, X. (2006). Statistical inference for the common mean of two log-normal distributions and some applications in reliability. Computat. Statist. Data Anal. 50:3141–3164.
- Gupta, R.C., Peng, C. (2009). Estimating reliability in proportional odds ratio models. Computat. Statist. Data Anal. 53:1495–1510.
- Gupta, R.C., Ghitany, M.E., Al-Mutairi, D.K. (2013). Estimation of reliability from a bivariate log-normal data. J. Statist. Computat. Simul. 83(6): 1068–1081.
- Gupta, R.C., Ghitany, M.E., Al-Mutairi, D.K. (2012). Estimation of reliability in a parallel system with random sample size. Math. Comput. Simul. 83:44–55.
- Gupta, R.C., Ghitany, M.E., Al-Mutairi, D.K. (2010). Estimation of reliability from Marshall-Olkin extended Lomax distributions. J. Statist. Computat. Simul. 80:937–947.
- Jiang, L., Wong, A. C.M. (2008). A note on inference for P(X < Y) for right truncated exponentially distributed data. Statist. Pap. 49:637–651.
- Kim, C., Chung, Y. (2006). Bayesian estimation of P(Y < X) from Burr-Type X model containing spurious observations. Statist. Pap. 47:643–651.
- Kotz, S., Lumelskii, Y., Pensky, M. (2003). The Stress-Strength Model and its Generalizations: Theory and Applications. Singapore: World Scientific Press.
- Krishnamoorthy, K., Mukherjee, S., Guo, H. (2007). Inference on reliability in two-parameter exponential stress-strength model. Metrika 65:261–273.
- Kundu, D., Gupta, R.D. (2007). A convenient way of generating gamma random variables. Computat. Statist. Data Anal. 51:2796–2802.
- Kundu, D., Gupta, R.D. (2006). Estimation of R = P[Y < X] for Weibull distributions. IEEE Trans. Reliab. 55:270–280.
- Kundu, D., Gupta, R.D. (2005). Estimation of P[Y < X] for generalized exponential distribution. Metrika 61:291–308.
- Lehmann, L.E., Casella, G. (1998). Theory of Point Estimation. 2nd ed. New York: Springer.
- Lindley, D.V. (1958). Fudicial distributions and Bayes’ theorem. J. Roy. Statist. Soc. B 20:102–107.
- Saraçoğlu, B., Kinaci, I., Kundu, D. (2012). On estimation of R = P(Y < X) for exponential distribution under progressive type-II censoring. J. Statist. Computat. Simul. 82:729–744.