The mixture Weibull distribution can be widely applied in many areas such as industry
economy
management
etc. However
due to the complexity of mixture Weibull model
the problem of parameters estimation for mixture weibull has not been completely resolved yet . The EM algorithm (expectation-maximization algorithm) for mixture Weibull distribution is derived. The efficient initialization methods for these iterative formulas are presented. Experiental results of numerical simulation show that the more accurate results can be obtained by proposed initial methods.