References
- F.G. Akgul, B. Senoglu, and T. Arslan, An alternative distribution to Weibull for modeling the wind speed data: Inverse Weibull distribution, Energy Conversion Manag. 114 (2016), pp. 234–240. doi: https://doi.org/10.1016/j.enconman.2016.02.026
- M. Basirat, S. Baratpour, and J. Ahmadi, Statistical inferences for stress-strength in the proportional hazard models based on progressive type-II censored samples, J. Stat. Comput. Simul. 85 (2015), pp. 431–449. doi: https://doi.org/10.1080/00949655.2013.824449
- G. Bhattacharyya and R.A. Johnson, Estimation of reliability in a multicomponent stress-strength model, J. Am. Stat. Assoc. 69 (1974), pp. 966–970. doi: https://doi.org/10.1080/01621459.1974.10480238
- C.R. Blyth, On minimax statistical decision procedures and their admissibility, Ann. Math. Statist. 22 (1951), pp. 22–42. doi: https://doi.org/10.1214/aoms/1177729690
- R. Calabria and G. Pulcini, Bayes 2-sample prediction for the inverse Weibull distribution, Comm. Statist. Theory Methods 23 (1994), pp. 1811–1824. doi: https://doi.org/10.1080/03610929408831356
- R. Dumonceaux and C.E. Antle, Discrimination between the log-normal and the Weibull distributions, Technometrics 15 (1973), pp. 923–926. doi: https://doi.org/10.1080/00401706.1973.10489124
- S. Eryilmaz, On system reliability in stress-strength setup, Stat. Probab. Lett. 80 (2010), pp. 834–839. doi: https://doi.org/10.1016/j.spl.2010.01.017
- R.P. Feynman, Mr. Feynman goes to Washington, Eng. Sci. 51 (1987), pp. 6–22.
- M. Fraiwan Al-Saleh and H.M. Samawi, Estimating the variance of a normal population by utilizing the information in a sample from a second related normal population, J. Stat. Comput. Simul. 74 (2004), pp. 79–90. doi: https://doi.org/10.1080/0094965031000104323
- M. Ghitany, R. Al-Jarallah, and N. Balakrishnan, On the existence and uniqueness of the MLEs of the parameters of a general class of exponentiated distributions, Statistics 47 (2013), pp. 605–612. doi: https://doi.org/10.1080/02331888.2011.614950
- L. Golparver, A. Karimnezhad, and A. Parsian, Optimal rules and robust Bayes estimation of a gamma scale parameter, Metrika 76 (2013), pp. 595–622. doi: https://doi.org/10.1007/s00184-012-0407-7
- S. Gunasekera, Generalised inferences for Pr(X>Y) for Pareto distribution, Stat. Papers 56 (2015), pp. 333–351. doi: https://doi.org/10.1007/s00362-014-0584-8
- A. Keller, M. Goblin, and N. Farnworth, Reliability analysis of commercial vehicle engines, Reliab. Eng. 10 (1985), pp. 15–25. doi: https://doi.org/10.1016/0143-8174(85)90039-3
- D.H. Kim, W.D. Lee, and S.G. Kang, Non-informative priors for the inverse Weibull distribution, J. Stat. Comput. Simul. 84 (2014), pp. 1039–1054. doi: https://doi.org/10.1080/00949655.2012.739171
- F. Kizilaslan, Classical and Bayesian estimation of reliability in a multicomponent stress-strength model based on a general class of inverse exponentiated distributions, Stat. Papers 59 (2018), pp. 1161–1192. doi: https://doi.org/10.1007/s00362-016-0810-7
- S. Kotz, I. Lumelskii, and M. Pensky, The Stress-strength Model and Its Generalizations: Theory and Applications, World Scientific, River Edge, 2003.
- K. Krishnamoorthy, Y. Lin, and Y. Xia, Confidence limits and prediction limits for a Weibull distribution based on the generalized variable approach, J. Statist. Plan Inference 139 (2009), pp. 2675–2684. doi: https://doi.org/10.1016/j.jspi.2008.12.010
- T. Kubokawa, A unified approach to improving equivariant estimators, Ann. Statist. 22 (1994), pp. 290–299. doi: https://doi.org/10.1214/aos/1176325369
- D. Kundu and R.D. Gupta, Estimation of P[Y<X] for generalized exponential distribution, Metrika 61 (2005), pp. 291–308. doi: https://doi.org/10.1007/s001840400345
- D. Kundu and H. Howlader, Bayesian inference and prediction of the inverse Weibull distribution for type-II censored data, Comput. Stat. Data. Anal. 54 (2010), pp. 1547–1558. doi: https://doi.org/10.1016/j.csda.2010.01.003
- E.L. Lehmann and G. Casella, Theory of Point Estimation, Springer Verlag, New York, 1998.
- D.V. Lindley, Approximate Bayesian methods, Trabajos De Estadistica Y De Investigacion Operativa 31 (1980), pp. 223–245. doi: https://doi.org/10.1007/BF02888353
- M.T. Madi and T. Leonard, Bayesian estimation for shifted exponential distributions, J. Statist. Plan Inference 55 (1996), pp. 345–351. doi: https://doi.org/10.1016/S0378-3758(95)00199-9
- M. Mahmoud, K. Sultan, and S. Amer, Order statistics from inverse Weibull distribution and associated inference, Comput. Stat. Data. Anal. 42 (2003), pp. 149–163. doi: https://doi.org/10.1016/S0167-9473(02)00151-2
- M. Maswadah, Conditional confidence interval estimation for the inverse Weibull distribution based on censored generalized order statistics, J. Stat. Comput. Simul. 73 (2003), pp. 887–898. doi: https://doi.org/10.1080/0094965031000099140
- M. Nadar and F. Kizilaslan, Estimation of reliability in a multicomponent stress-strength model based on a Marshall-Olkin bivariate Weibull distribution, IEEE Trans. Reliab. 65 (2015), pp. 370–380. doi: https://doi.org/10.1109/TR.2015.2433258
- A. Parsian and N. Nematollahi, Estimation of scale parameter under entropy loss function, J. Statist. Plan Inference 52 (1996), pp. 77–91. doi: https://doi.org/10.1016/0378-3758(95)00026-7
- N. Sanjari Farsipour and H. Zakerzadeh, Estimation of a gamma scale parameter under asymmetric squared log error loss, Comm. Statist. Theory Methods 34 (2005), pp. 1127–1135. doi: https://doi.org/10.1081/STA-200056843
- S. Singh and Y.M. Tripathi, Estimating the parameters of an inverse Weibull distribution under progressive type-I interval censoring, Stat. Papers 59 (2018), pp. 21–56. doi: https://doi.org/10.1007/s00362-016-0750-2
- J.M. Steele, The Cauchy-Schwarz Master Class: An Introduction to The Art of Mathematical Inequalities, Cambridge University Press, Cambridge, 2004.
- K. Sultan, N. Alsadat, and D. Kundu, Bayesian and maximum likelihood estimations of the inverse Weibull parameters under progressive type-II censoring, J. Stat. Comput. Simul. 84 (2014), pp. 2248–2265. doi: https://doi.org/10.1080/00949655.2013.788652
- S.F. Wu and C.C. Wu, Two stage multiple comparisons with the average for exponential location parameters under heteroscedasticity, J. Statist. Plan Inference 134 (2005), pp. 392–408. doi: https://doi.org/10.1016/j.jspi.2004.04.015