Mustansiriyah Journal of Pure and Applied Sciences

Linear Formulas for Estimating the Reliability of Generalized Inverse Weibull Distributi

Zainab S. Noori

Makki A. Mohammed Salih

DOI: https://doi.org/10.47831/mjpas.v1i1.15

Keywords: Generalized Inverse Weibull distribution, estimation methods, simulation and mean square error.

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Abstract

Estimation methods that depend on linear formulas to estimate the reliability of the three parameters generalized inverse Weibull distribution (GIW) were used in this research, including each of Least Square method (LS), Weight Least Square method (WLS), White method (W), Modified White method (MW) and Linear Regression method (REG). The parameters and reliability of the distribution were estimated in four experiments using simulation to generating the required samples and the results were compared using the mean square error criterion. The results showed:

 In general the Modified White estimators are better than estimators of other methods.