id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-2434	Abod, Masooma Ali; Gorgee, Hazim Mansoor	Bayesian Estimators of the parameter and Reliability Function of Inverse Rayleigh Distribution" A comparison study "	2020	12	.pdf	application/pdf	3303	150	62	Bayesian Estimation The Bayes estimator of the parameter 𝜃 is the value of 𝜃 that minimizes the posterior expectation known as the risk function and denotes 𝑅 𝜃, 𝜃 , that is: 𝑅 𝜃, 𝜃 𝐸 𝐿 𝜃, 𝜃 𝐿 𝜃, 𝜃 ℎ 𝜃|𝑡 𝑑𝜃 (18) Where ℎ 𝜃|𝑡 is the posterior density of 𝜃|𝑡 8. If k is positive integer, it is well known that 𝐸 𝜃 |𝑡 𝜃 ℎ 𝜃|𝑡 𝑑𝜃 (23) On the basis of Jeffrey's prior information and by substituting ℎ 𝜃|𝑡 by ℎ 𝜃|𝑡 given in equation (10), then evaluating the integral in (23); it can easily be shown 𝐸 𝜃 |𝑡 (24)   133  Ibn Al-Haitham Jour.	cache/iajs-2434.pdf	txt/iajs-2434.txt