TITLE:
Bayesian Estimations with Fuzzy Data to Estimation Inverse Rayleigh Scale Parameter
AUTHORS:
Shurooq Ahmed Kareem AL-Sultany
KEYWORDS:
Inverse Rayleigh Distribution, Imprecision Data, Modified Newton Method, Tierney and Kadane’s Approximation
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.9 No.8,
August
29,
2019
ABSTRACT: In this paper, Bayesian computational method is used to estimate inverse Rayleigh Scale parameter with
fuzzy data. Based on imprecision data, the Bayes estimates cannot be obtained
in explicit form. Therefore, we provide Tierney and Kadane’s
approximation to compute the Bayes estimates of the scale parameter under
Square error and Precautionary loss function using Non-informative Jefferys
Prior. Also, we provide compared numerically through Monte-Carlo simulation
study to obtained estimates of the scale parameter in terms of mean squared
error values.