[1] Gompertz, B. (1825). On the Nature of the Function Expressive of the Law of Human Mortality and on the New Mode of Determining the Value of Life Contingencies, Philosophical Transactions of the Royal Society American, 115, 513-580.
[2] Pakdaman, Z. and Ahmadi, J. (2017). Point estimation of the stress-strength reliability parameter for parallel system with independent and non-identical components, Communications in Statistics- Simulation and Computation, to appear. Doi: 10.1080/03610918.2017.1309426.
[3] Bhattacharyya, G.K. and Johnson, R. A. (1974). Estimation of reliability in multicomponent stress-strength model, The Journal of the Acoustical Society of America, 69, 966–970.
[4] Enis, P. and Geisser, S. (1971). Estimation of the probability that Y<X, The Journal of the Acoustical Society of America, 66, 162-168.
[5] Downtown, F. (1973). The estimation of P(Y<X) in the normal case, Technometrics, 15, 551-558.
[7] Nandi, S.B. and Aich, A.B. (1994). A note on estimation of P(X>Y) for some distributions useful in life-testing, IAPQR Trans-actions, 19(1), 35-44.
[9] Kundu, D. and Gupta, R. D. (2006). Estimation of P(Y<X) for Weibull distribution, IEEE Transactions on Reliability, 55(2), 270-280.
[11] Asgharzadeh, A., Valiollahi, R. and Raqab, M.Z. (2011). Stress-strength reliability of Weibull distribution based on progressively censord samples, Statistics and Operations Research Transactions, 35(2), 103-124.
[12] Lio, Y.L. and Tsai, T. R. (2012). Estimation of for Burr XII distribution based on the progressivey first failure-censord samples, Journal of Applied Statistics, 39(2), 465-483.
[13] Al-Mutairi, D.K., Ghitany, M.E. and Kundu, D. (2013). Inferences on Stress-strength reliability from Lindley distribution, Communications in Statistics-Theory and Methods, 42(8), 1443-1463.
[14] Ghitany, M.E., Al-Mutairi, D.K. and Aboukhamseen, S.M. (2015). Estimation of the reliability of a Stress-strength system from power indley distributions, Communications Statistics Simulation and Computation, 44, 118-136.
[15] Pandey, M. and Borhan, U.M.d. (1985). Estimation of reliability in multicomponent stress-strength model following Burr distribution, Proceedings of the First Asian congress on Quality and Reliability, New Delhi, India, 307-312.
[16] Rao, G.S. and Kantam, R. R. L. (2010). Estimation of reliability in multicomponent stress-strength model: log-logistic distribution, Electronic Journal of Applied Statistical Analysis, 3(2), 75-84.
[17] Rao, G.S. (2012a). Estimation of reliability in multicomponent stress-strength model based on generalized exponential distribution, Colombian Journal of Statistics, 35(1), 67-76.
[18] Rao, G.S. (2012b). Estimation of reliability in multicomponent stress-strength model based on Rayleigh distribution, ProbStat Forun, 5, 150-161.
[19] Rao, G.S., Aslam, M. and Aril, O. H. (2017). Estimation of reliability in multicomponent stress- strength model based on exponentiated Weibull distribution, Communications Statistics Simulation and Computation, 46(15), 7495-7502.
[20] Castellares, F. and Lemonte, A.J. (2014). A New Generalization Weibull Distribution Generated by Gamma Random Variabales, Journal of the Egypain Mahematical Society, 10, 1-9.
[21] Ward, M. (1934). The representation of Stirling’s numbers and Stirling’s polynomials as sums of factorial, American Journal of Mathematics, 56, 87–95.
[22] Rao, C.R. (1973). Linear Statistical Inference and its Applications, Wiley Eastern Limited, India.
[23] Lindley, D.V. (1980). Approximate Bayes Method, Trab Estad 3, 281-288.
[24] Badar, M.G. and Priest, A.M. (1982). Statistical aspects of fiber and bundle strength in hybrid composites. In: Hayashi, T., Kawata, K., Umekawa, S. (Eds.), Progress in Science and Engineering Composites, ICCM-IV, Tokyo, 1129–1136.
[25] Raqab, M. Z. and Kundu, D. (2005). Comparison of different estimators of P(Y < X) for a scaled Burr type X distribution, Communications in Statistics-Simulation and Computation, 34(2), 465– 483.
[26] Kundu, D. and Gupta, R. D. (2006). Estimation of P(Y < X) for Weibull distributions, IEEE Transactions on Reliability, 55(2), 270–280.
)