Fuzzy weighted linear regression on zero failure exponent distribution

Parameter estimation is very important for reliability estimation of zero failure data. For the question of poor stabilization in conventional Linear Regression equation, it is usually improved by a weighted coefficient. The fuzzy weight is put forward and for exponent distribution, estimated equation of failure rate is given. Due to the fact that failure probability has large effect for the estimated value, the Bayes estimation is given which bases on decrease function. The fuzzy weighted linear regression model can get low departure. The regression result shows that the new method is more approach to the engineering practice.