Maximum Likelihood Estimation for Three-Parameter Weibull Distribution Using Evolutionary Strategy

Table 6

Results of different estimation methods [3].

Method				K-S(ks_stat/p)	AIC
LR (Ref [3])	∖	4.2	42.2	(0.2222/0.7088)	7.9410
WLR-F&T (Ref [3])	∖	3.4	41.7	(0.1667/0.9448)	7.9438
WLR-B (Ref [3])	∖	3.2	41.3	(0.1667/0.9448)	7.9727
CMA-ES(ML)	22.4101	1.3954	17.4991	(0.1111/0.9997)	7.6697

Note. LR, least square regression; WLR-F&T, weighted least squares regression with Faucher & Tyson’s equation [35]; WLR-B, weighted least squares regression with Bergman’s equation [36]; CMA-ES(ML), the proposed method ML using CMA-ES; ks_stat/p, value of K-S test/the probability of the CDF data similarity.