A. Al-Sultany, S., A. Mohammed, S. (2018). Comparison between Bayesian and Maximum Likelihood Methods for parameters and the Reliability function of Perks Distribution. , 58(1), 369-376.
Shurooq A. Al-Sultany; Sahar A. Mohammed. "Comparison between Bayesian and Maximum Likelihood Methods for parameters and the Reliability function of Perks Distribution". , 58, 1, 2018, 369-376.
A. Al-Sultany, S., A. Mohammed, S. (2018). 'Comparison between Bayesian and Maximum Likelihood Methods for parameters and the Reliability function of Perks Distribution', , 58(1), pp. 369-376.
A. Al-Sultany, S., A. Mohammed, S. Comparison between Bayesian and Maximum Likelihood Methods for parameters and the Reliability function of Perks Distribution. , 2018; 58(1): 369-376.

Comparison between Bayesian and Maximum Likelihood Methods for parameters and the Reliability function of Perks Distribution

Iraqi Journal of Science
Article 1, Volume 58, Issue 1, 2018, Pages 369-376
Authors
Shurooq A. Al-Sultany; Sahar A. Mohammed
Abstract
In this paper, we have derived Bayesian estimation for the parameters and reliability function of Perks distribution based on two different loss functions, Lindley’s approximation has been used to obtain those values. It is assumed that the parameter behaves as a random variable have a Gumbell Type  prior with non-informative is used. And after the derivation of mathematical formulas of those estimations, the simulation method was used for comparison depending on mean square error (MSE) values and integrated mean absolute percentage error (IMAPE) values respectively. Among of conclusion that have been reached, it is observed that, the LE-NR estimate introduced the best perform for estimating the parameter λ.
Keywords
Perks distribution; Reliability function; Lindley; Mean square error; Integrated mean absolute percentage error
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