Bayesian Estimations with Fuzzy Data to Estimation Inverse Rayleigh Scale Parameter - Open Journal of Applied Sciences

OJAppS > Vol.9 No.8, August 2019

Bayesian Estimations with Fuzzy Data to Estimation Inverse Rayleigh Scale Parameter ()

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Download as PDF (Size: 289KB) PP. 673-681

DOI: 10.4236/ojapps.2019.98054 475 Downloads 1,073 Views Citations

Author(s)

Shurooq Ahmed Kareem AL-Sultany

Affiliation(s)

Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq.

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.

KEYWORDS

Inverse Rayleigh Distribution, Imprecision Data, Modified Newton Method, Tierney and Kadane’s Approximation

Share and Cite:

AL-Sultany, S. (2019) Bayesian Estimations with Fuzzy Data to Estimation Inverse Rayleigh Scale Parameter. Open Journal of Applied Sciences, 9, 673-681. doi: 10.4236/ojapps.2019.98054.

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