Comparative Study on Parameters Estimation Methods for Fatigue Life Distribution on Reliability

Three-parameter Weibull distribution is one of the most common and widely-used distribution in reliability theory,specially fatigue life estimation.The goal is by studying some methods for estimating parameters of Weibull distribution to illustrate the applicability of each method.By studying optimization method of correlation coefficient,a new method-optimization method by secant iteration is proposed.And the accuracy of probability weighted moments is improved by using MATLAB.Then the method is more convenient in engineering calculations.MATLAB program for three-parameter Weibull distribution is given and this three methods are compared to determine the applicability of each other.Then it will be a good direction for engineers to do an appropriate choice of parameter estimation methods.What is more,it is demonstrated that the new method-optimization method by secant iteration is accurate enough to be used in reliability analysis by using two examples.