id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-2006	Ali, Mohammed Jamel; Gorgees, Hazim Mansoor; Hussein, Adel Abdul Kadhim	The Comparison Between Standard Bayes Estimators of the Reliability Function of Exponential Distribution	2018	8	.pdf	application/pdf	2383	132	64	From Bayes theorem the posterior density function of ɵ denoted by ℎ ɵ׀𝑡 can be derived as [4] ℎ ɵ׀𝑡 , … , 𝑡 𝑔 ɵ 𝐿 ɵ; 𝑡 , … , 𝑡 𝑔 ɵ 𝐿 ɵ; 𝑡 , … , 𝑡 𝑑ɵ ℎ ɵ׀𝑡 , … , 𝑡 ɵ 𝑒 ɵ ɵ 𝑒 ɵ 𝑑ɵ , T 𝑡 Hence, the posterior density function for ɵ based on Jeffery's prior information will be ℎ ɵ׀𝑡 , … , 𝑡 𝑇 ɵ 𝑒 ɵ Г 𝑛 14 The posterior density in Equation (14) is defined identified as a density of the Gamma distribution, that is ɵ׀𝑡 , 𝑡 , … , 𝑡 ~ Gamma (n, ) with E(ɵ) If (PELF)is adopted, it can be in the same manner show that the Bayes estimator of ɵ is ɵ 𝐸	cache/iajs-2006.pdf	txt/iajs-2006.txt