Mustansiriyah Journal of Pure and Applied Sciences

Reliability Estimation for Inverted Kumaraswamy Distribution: A Simulation Study

Zainab Saddi

Open Educational College

Makki A. Mohammed Salih

DOI: https://doi.org/10.47831/mjpas.v3i1.112

Keywords: Inverted Kumaraswamy Distribution, Estimation Methods, Simulation and Mean Square Error.

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Abstract

  In this paper, the parameters and reliability of the inverse Kumaraswamy distribution were estimated through estimation methods namely: Moments, Modified Moments, Percentiles, White, Modified White and Maximum Likelihood. The simulation was used for estimation through samples of different sizes and then the mean square error criterion was used to compare between them. The results obtained from parameter estimators are shown: As for the shape parameter, the Percentile method is the best in most of the experiments that were used, for the exponentiated parameter, the Maximum Likelihood method is the best in most of the experiments conducted. As for reliability, its preference varies between the Maximum Likelihood method and the Modified White method.