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Abstract of Applied Sciences and Engineering

December 2015, Volume 5, 5, pp 20

Approximated Bayes Estimators for the Parameters and Reliability Function of Inverse Weibull Distribution based on Fuzzy Data

Nadia H. AL-Noor, Shurooq A.K. AL-Sultany

Nadia H. AL-Noor 1
Shurooq A.K. AL-Sultany 2

  1. Assist. Prof. / Dept. of Mathematics/ College of Science/ AL-Mustansiriyah University/ Iraq 1

  2. Dept. of Mathematics / College of Science / AL-Mustansiriyah University / Iraq 2

Pages: 20

DOI: 10.18488/journal.1001/2015.5/1001.5

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Abstract:

In this paper, we provide Tierney and Kadane’s approximation to compute Bayes estimates of the parameters and reliability function of inverse Weibull distribution based on fuzzy data under symmetric and asymmetric loss functions. It assumed that the parameters behaves as a random variable have a gamma prior. Finally, the obtained estimators compared empirically via Monte Carlo simulation study.

Keywords:

Inverse Weibull distribution, Bayes estimation, Loss function, Tierney and Kadane’s approximation, Fuzzy numbers

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