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    Relation: mr:MR3547764; zbl:Zbl 06644014; reference:[1] Barlow, R. E., Proschan, F.: Statistical Theory of Reliability and Life Testing.International Series in Decision Processes. Holt, Rinehart and Winston, New York (1975). Zbl 0379.62080, MR 0438625; reference:[2] Behboodian, J.: Covariance inequality and its applications.Int. J. Math. Educ. Sci. Technol. 25 (1994), 643-647. Zbl 0822.60015, MR 1295325, 10.1080/0020739940250503; reference:[3] Chen, Y. Q., Cheng, S.: Semiparametric regression analysis of mean residual life with censored survival data.Biometrika 92 (2005), 19-29. Zbl 1068.62044, MR 2158607; reference:[4] Chen, Y. Q., Jewell, N. P., Lei, X., Cheng, S. C.: Semiparametric estimation of proportional mean residual life model in presence of censoring.Biometrics 61 (2005), 170-178. Zbl 1077.62079, MR 2135857, 10.1111/j.0006-341X.2005.030224.x; reference:[5] Gupta, R. C.: Mean residual life function for additive and multiplicative hazard rate models.Probab. Eng. Inf. Sci. 30 (2016), 281-297. Zbl 1373.62496, MR 3478846, 10.1017/S0269964815000388; reference:[6] Gupta, R. C., Kirmani, S. N. U. A.: On the proportional mean residual life model and its implications.Statistics 32 (1998), 175-187. Zbl 0916.62064, MR 1708121, 10.1080/02331889808802660; reference:[7] Karlin, S.: Total Positivity. Vol. I.Stanford University Press, Stanford (1968). MR 0230102; reference:[8] Kayid, M., Izadkhah, S.: A new extended mixture model of residual lifetime distributions.Oper. Res. Lett. 43 (2015), 183-188. MR 3319482, 10.1016/j.orl.2015.01.011; reference:[9] Kayid, M., Izadkhah, S., ALmufarrej, D.: Random effect additive mean residual life model.IEEE Trans. Reliab. 65 (2016), 860-866. 10.1109/TR.2015.2491600; reference:[10] Lai, C.-D., Xie, M.: Stochastic Ageing and Dependence for Reliability.Springer, New York (2006). Zbl 1098.62130, MR 2223811; reference:[11] Maguluri, G., Zhang, C.-H.: Estimation in the mean residual life regression model.J. R. Stat. Soc., Ser. B 56 (1994), 477-489. Zbl 0803.62083, MR 1278221; reference:[12] Mansourvar, Z., Martinussen, T., Scheike, T. H.: Semiparametric regression for restricted mean residual life under right censoring.J. Appl. Stat. 42 (2015), 2597-2613. MR 3428833, 10.1080/02664763.2015.1043871; reference:[13] Nanda, A. K., Bhattacharjee, S., Alam, S. S.: Properties of proportional mean residual life model.Stat. Probab. Lett. 76 (2006), 880-890. Zbl 1089.62120, MR 2268431, 10.1016/j.spl.2005.10.019; reference:[14] Nanda, A. K., Bhattacharjee, S., Balakrishnan, N.: Mean residual life function, associated orderings and properties.IEEE Trans. Reliab. 59 (2010), 55-65. 10.1109/TR.2009.2035791; reference:[15] Nanda, A. K., Das, S., Balakrishnan, N.: On dynamic proportional mean residual life model.Probab. Eng. Inf. Sci. 27 (2013), 553-588. Zbl 1282.90058, MR 3150113, 10.1017/S0269964813000259; reference:[16] Nelsen, R. B.: An Introduction to Copulas.Springer Series in Statistics Springer, New York (2006). Zbl 1152.62030, MR 2197664; reference:[17] Oakes, D., Dasu, T.: Inference for the proportional mean residual life model.Crossing Boundaries: Statistical Essays in Honor of J. Hall IMS Lecture Notes Monogr. Ser. 43 Inst. Math. Statist., Beachwood (2003), 105-116. Zbl 1255.62314, MR 2125050, 10.1214/lnms/1215092393; reference:[18] Shaked, M., Shanthikumar, J. G.: Stochastic Orders.Springer Series in Statistics Springer, New York (2007). MR 2265633; reference:[19] Zahedi, H.: Proportional mean remaining life model.J. Stat. Plann. Inference 29 (1991), 221-228. MR 1133703, 10.1016/0378-3758(92)90135-F; reference:[20] Zhao, W., Elsayed, E. A.: Modelling accelerated life testing based on mean residual life.Int. J. Syst. Sci. 36 (2005), 689-696. Zbl 1087.90020, MR 2171201, 10.1080/00207720500160084