False-Position Method For Estimating Reliability of Alpha Power Survival Transformation Exponential Distribution

Abstract

Simulation was used to estimate the parameters and reliability function of the Alpha Power Survival Transformation Exponential Distribution using five estimation methods, including: Four least squares methods, comparing their results with each other and with the maximum likelihood method by applying four parameter values to several sample sizes and repeating the sample 1000 times. The mean squared error was used to compare the obtained results, and it was found that: Estimators that use the maximum likelihood method are better than estimators in other methods at estimating the reliability of the distribution.