id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-1885	Ali, Mohammed Jamel; Gorgees, Hazim Mansoor	The Comparison Between the MLE and Standard Bayes Estimators of the Reliability Function of Exponential Distribution	2019	9	.pdf	application/pdf	2514	128	65	The probability density, cumulative distribution and reliability functions of one parameter exponential distribution are respectively defined as [2]: 𝑓 𝑡, ɵ ɵ𝑒 ɵ , 𝑡, ɵ 0 1 The Cumulative distribution function is given by: F t pr T t 1 e ɵ 2 R t 1 F t e ɵ 3 2.1. The posterior density function is ℎ ɵ׀𝑡 𝑔 ɵ 𝐿 ɵ; 𝑡 , … , 𝑡 𝑔 ɵ 𝐿 ɵ; 𝑡 , … , 𝑡 𝑑ɵ Thus ℎ ɵ׀𝑡 𝑃 ɵ 𝑒 ɵ Г 𝛼 𝑛 16 Where P β T It can easily be noted that (ɵ׀𝑡 ~𝐺𝑎𝑚𝑚𝑎 𝛼 𝑛, with E(ɵ) = ,Var(ɵ)	cache/iajs-1885.pdf	txt/iajs-1885.txt
