References
- Lynch SM. Introduction to applied Bayesian statistics and estimation for social scientists. New York: Springer Science & Business Media; 2007.
- Varian HR. A Bayesian approach to real estate assessment. Savage LJ, Feinberg SE, Zellner A, editors. Studies in Bayesian econometric and statistics in Honor of Leonard J Savage. Amsterdam: North-Holland Pub. Co.; 1975. p. 195–208.
- Zellner A. Bayesian estimation and prediction using asymmetric loss functions. J Am Stat Assoc. 1986;81:446–451.
- Zellner A. Bayesian and non-Bayesian estimation using balanced loss functions. In: Statistical decision theory and related topics V. New York (NY): Springer; 1994. p. 377–390.
- Parsian A, Nematollahi N. Estimation of scale parameter under entropy loss function. J Stat Plan Inference. 1996;52:77–91.
- Lindley DV, Smith AF. Bayes estimates for the linear model. J R Stat Soc Series B Stat (Methodol). 1972;34:1–18.
- Han M. The structure of hierarchical prior distribution and its applications. Chin Oper Res Manag Sci. 1997;6:31–40.
- Han M. E-Bayesian estimation of the reliability derived from binomial distribution. Appl Math Model. 2011;35:2419–2424.
- Osei FB, Duker AA, Stein A. Hierarchical Bayesian modeling of the space–time diffusion patterns of cholera epidemic in Kumasi, Ghana. Stat Neerl. 2011;65:84–100.
- Ando T, Zellner A. Hierarchical Bayesian analysis of the seemingly unrelated regression and simultaneous equations models using a combination of direct monte carlo and importance sampling techniques. Bayesian Anal. 2010;5(1):65–95.
- Han M. The E-Bayesian and hierarchical Bayesian estimations for the system reliability parameter. Commun Stat-Theory Methods. 2017;46:1606–1620.
- Han M. E-Bayesian estimation and hierarchical Bayesian estimation of failure rate. Appl Math Model. 2009;33:1915–1922.
- Yousefzadeh F. E-Bayesian and hierarchical Bayesian estimations for the system reliability parameter based on asymmetric loss function. Commun Stat-Theory Methods. 2017;46:1–8.
- Yaghoobzadeh Shahrastani S. Estimating E-Bayesian and hierarchical Bayesian of scalar parameter of Gompertz distribution under type II censoring schemes based on fuzzy data. Commun Stat-Theory Methods. 2019;48:831–840.
- Han M. The E-Bayesian and hierarchical Bayesian estimations of Pareto distribution parameter under different loss functions. J Stat Comput Simul. 2017;87:577–593.
- Reyad HM, Younis AM, Othman SA. E-Bayesian and hierarchical Bayesian estimations based on dual generalized order statistics from the inverse Weibull model. J Adv Math Comp Sci. 2017;23:1–29.
- Basheer AM, Okasha HM, El-Baz AH, et al. E-Bayesian and hierarchical Bayesian estimations for the inverse Weibull distribution. Ann Data Sci. 2021;1–23.
- Athirakrishnan RB, Abdul-Sathar EI. E-Bayesian and hierarchical Bayesian estimation of inverse Rayleigh distribution. Am J Math Manag Sci. 2022;41:70–87.
- Li CP, Hao HB. E-Bayesian estimation and hierarchical Bayesian estimation of poisson distribution parameter under entropy loss function. Int J App Math. 2019;49:369–374.
- Pathak A, Kumar M, Singh SK, et al. Assessing the effect of E-Bayesian inference for poisson inverse exponential distribution parameters under different loss functions and its application. Commun Stat-Theory Methods. 2022;51:5763–5805.
- Shadrokh A, Yaghoobzadeh Shahrastani S. Estimating E-Bayesian and hierarchical Bayesian of stress-strength parameter in Rayleigh distribution under LINEX loss function. J Stat Sci. 2020;13:483–496.
- Wang JH, Yuan L. Properties of hierarchical Bayesian and E-Bayesian estimations of the failure probability in zero-failure data. Chin J Eng Math. 2010;27:78–84.
- Abdul-Sathar EI, Krishnan RA. E-Bayesian and hierarchical Bayesian estimation for the shape parameter and reversed hazard rate of power function distribution under different loss functions. J Ind Soc Prob Stat. 2019;20:227–253.
- Cai J, Shi Y, Lin T. E-Bayesian and hierarchical Bayesian estimations for parallel system model in the presence of masked data. Concurr Comput Pract Exper. 2020;32:e5615.
- Kizilaslan F. The E-Bayesian and hierarchical Bayesian estimations for the proportional reversed hazard rate model based on record values. J Stat Comput Simul. 2017;87:2253–2273.
- Iqbal A, Yousuf Shad M. E-Bayesian estimation of Maxwell distribution and its evaluation standards: E-Posterior risks and E-MSEs (expected mean square errors). J Stat Comput Simul. 2022;1–15.
- Zhang YY. The Bayes rule of the variance parameter of the hierarchical normal and inverse gamma model under stein's loss. Commun Stat-Theory Methods. 2017;46:7125–7133.
- Casella G, Berger RLL. Statistical inference. 2nd ed. Pacific Grove: Duxbury (MA); 2002.
- Mood AM, Graybill FA, Boes DC. Introduction to the theory of statistics. 3rd ed. McGraw-Hill series in probability and statistics; 1974.
- Han M. E-Bayesian estimation and its E-posterior risk of the exponential distribution parameter based on complete and type I censored samples. Commun Stat-Theory Methods. 2020;49:1858–1872.
- Hosmer DW, Lemeshow S. Applied logistic regression. 2nd ed. New York: John Wiley & Sons; 1989.