Reliability estimation in multicomponent stress–strength model for Topp-Leone distribution

References

• Pak A, Gupta AK. Bayesian inference on P (X > Y) in bivariate Rayleigh model. Commun Stat – Theory Methods. 2018;47(17):4095–4105.
   Web of Science ®Google Scholar
• Soliman AA, Abd-Ellah AH, Abou-Elheggag NA, et al. Reliability estimation in stress-strength models: an MCMC approach. Statistics (Ber). 2013;47(4):715–728.
   Web of Science ®Google Scholar
• Ghitany ME, Al-Mutairi DK, Aboukhamseen SM. Estimation of a stress-strength system from power Lindley distributions. Commun Stat – Simul Comput. 2015;44:118–136.
   Web of Science ®Google Scholar
• Chen J, Cheng C. Reliability of stress-strength model for exponentiated Pareto distributions. J Stat Comput Simul. 2017;87(4):791–805.
   Web of Science ®Google Scholar
• Rezaei A, Sharafi M, Behboodian J, et al. Inference on stress-strength parameter based on GLD5 distribution. Commun Stat – Simul Comput. 2018;47(5):1251–1263.
   Web of Science ®Google Scholar
• Sharma VK. Bayesian analysis of head and neck cancer data using generalized inverse Lindley stress-strength reliability model. Commun Stat – Theory Methods. 2018;47(5):1155–1180.
   Web of Science ®Google Scholar
• Genç AI. Estimation of P (X > Y) with Topp-Leone distribution. J Stat Comput Simul. 2013;83(2):326–339.
   Web of Science ®Google Scholar
• Krishna H, Dube M, Garg R. Estimation of P (Y < X) for progressively first-failure-censored generalized inverted exponential distribution. J Stat Comput Simul. 2017;87(11):2274–2289.
   Web of Science ®Google Scholar
• Babayi S, Khorram E. Inference of stress-strength for the Type-II generalized logistic distribution under progressively Type-II censored samples. Commun Stat – Simul Comput. 2018;47(7):1975–1995.
   Web of Science ®Google Scholar
• Nadar M, Kızılaslan F. Classical and Bayesian estimation of P (X < Y) using upper record values from Kumaraswamy’s distribution. Stat Papers. 2014;55:751–783.
   Web of Science ®Google Scholar
• Asgharzadeh A, Valiollahi R, Raqab MZ. Estimation of Pr (Y < X) for the two-parameter generalized exponential records. Commun Stat – Simul Comput. 2017;46(1):379–394.
   Web of Science ®Google Scholar
• Akgül FG, Şenoğlu B. Estimation of P (X < Y) using ranked set sampling for Weibull distribution. Qual Technol Quant Manag. 2017;14(3):296–309.
   Web of Science ®Google Scholar
• Akgül FG, Acıtaş Ş, Şenoğlu B. Inference on stress-strength reliability based on ranked set sampling data in case of Lindley distribution. J Stat Comput Simul. 2018;88(15):3018–3032.
   Web of Science ®Google Scholar
• Akgül FG, Şenoğlu B, Acıtaş Ş. Interval estimation of the system reliability for Weibull distribution based on ranked set sampling data. Hacettepe J Math Stat. 2018;47(5):1404–1416.
   Web of Science ®Google Scholar
• Safariyan A, Arashi M, Belaghi RA. Improved point and interval estimation of the stress-strength reliability based on ranked set sampling. Statistics. 2019;53(1):101–125.
   Web of Science ®Google Scholar
• Kotz S, Lumelskii Y, Pensky M. The stress-strength model and its generalizations: theory and applications. Singapore: World Scientific; 2003.
   Google Scholar
• Rasethuntsa TP, Nadar M. Stress-strength reliability of a non-identical-component-strengths system based on upper record values from the family of Kumaraswamy generalized distributions. Statistics (Ber). 2018;52(3):684–716.
   Web of Science ®Google Scholar
• Bhattacharyya GK, Johnson RA. Estimation of reliability in a multicomponent stress-strength model. J Am Stat Assoc. 1974;69:966–970.
   Web of Science ®Google Scholar
• Kızılaslan F. Classical and Bayesian estimation of reliability in a multicomponent stress-strength model based on the proportional reversed hazard rate mode. Math Comput Simul. 2017;136:36–62.
   Web of Science ®Google Scholar
• Rao GS, Kantam RRL. Estimation of reliability in multicomponent stress-strength model: log-logistic distribution. Electron J Appl Stat Anal. 2010;3(2):75–84.
   Google Scholar
• Rao GS. Estimation of reliability in multicomponent stress-strength model based on generalized exponential distribution. Colomb J Stat. 2012;35(1):67–76.
   Google Scholar
• Rao GS, Kantam RRL, Rosaiah K, et al. Estimation of reliability in multicomponent stress-strength based on inverse Rayleigh distribution. J Stat Appl Pro. 2013;2(3):261–267.
   Google Scholar
• Rao GS. Estimation of reliability in multicomponent stress-strength based on generalized Rayleigh distribution. J Mod Appl Stat Methods. 2014;13(1):367–379.
   Google Scholar
• Kızılaslan F, Nadar M. Classical and Bayesian estimation of reliability in multicomponent stress-strength model based on Weibull distribution. Revista Colombiana Estadistica. 2015;38(2):467–484.
   Google Scholar
• Rao GS, Aslam M, Kundu D. Burr-XII distribution parametric estimation and estimation of reliability of multicomponent stress-strength. Commun Stat – Theory Methods. 2015;44:4953–4961.
   Web of Science ®Google Scholar
• Dey S, Mazucheli J, Anis MZ. Estimation of reliability of multicomponent stress-strength for a Kumaraswamy distribution. Commun Stat – Theory Methods. 2017;46(4):1560–1572.
   Web of Science ®Google Scholar
• Rao GS, Aslam M, Arif OH. Estimation of reliability in multicomponent stress-strength based on two parameter exponentiated Weibull distribution. Commun Stat – Theory Methods. 2017;46(15):7495–7502.
   Web of Science ®Google Scholar
• Nadar M, Kızılaslan F. Estimation of reliability in a multicomponent stress-strength model based on a Marshall-Olkin bivariate Weibull distribution. IEEE Trans Reliab. 2016;65(1):370–380.
   Web of Science ®Google Scholar
• Kızılaslan F, Nadar M. Estimation of reliability in a multicomponent stress-strength model based on a bivariate Kumaraswamy distribution. Stat Papers. 2018;59:307–340.
   Web of Science ®Google Scholar
• Gunasekera S. Classical, Bayesian, and generalized inferences of the reliability of a multicomponent system with censored data. J Stat Comput Simul. 2018;88(18):3455–3501.
   Web of Science ®Google Scholar
• Bai X, Shi Y, Liu Y, et al. Reliability estimation of multicomponent stress-strength model based on copula function under progressively hybrid censoring. J Comput Appl Math. 2018;344:100–114.
   Web of Science ®Google Scholar
• Topp CW, Leone FC. A family of J-shaped frequency functions. J Am Stat Assoc. 1955;50:209–219.
   Web of Science ®Google Scholar
• Ghitany ME, Kotz S, Xie M. On some reliability measures and their stochastic orderings for the Topp-Leone distribution. J Appl Stat. 2005;32(7):715–722.
   Web of Science ®Google Scholar
• Nadarajah S, Kotz S. Moments of some J-shaped distributions. J Appl Stat. 2003;30:311–317.
   Web of Science ®Google Scholar
• Genç AI. Moments of order statistics of Topp-Leone distribution. Stat Papers. 2012;53:117–131.
   Web of Science ®Google Scholar
• Lindley DV. Approximate Bayesian methods. Trabajos Estadistica Investig Oper. 1980;31(1):223–245.
   Google Scholar
• Metropolis N, Rosenbluth AW, Rosenbluth MN, et al. Equations of state calculations by fast computing machines. J Chem Phys. 1953;21:1087–1092.
   Web of Science ®Google Scholar
• Cramanis M, Stremel J, Fleck W, et al. Probabilistic production costing: An investigation of alternative algorithms. Int J Electr Power Energy Syst. 1983;5(2):75–86.
   Web of Science ®Google Scholar