In the paper, for the contamination distribution model F(x) = (1-α)F1(x)+αF2(x), the estimates of α and F1 (x) are studied using two different ways when F2 (x) is known and the strong consistency of th...In the paper, for the contamination distribution model F(x) = (1-α)F1(x)+αF2(x), the estimates of α and F1 (x) are studied using two different ways when F2 (x) is known and the strong consistency of the two estimates is proved. At the same time the consistency rate of estimate α is also given.展开更多
基金National Natural Science Foundation of China(10471135)National Docter Foundation of China and special finance support of Chinese Academy of Sciences.
文摘In the paper, for the contamination distribution model F(x) = (1-α)F1(x)+αF2(x), the estimates of α and F1 (x) are studied using two different ways when F2 (x) is known and the strong consistency of the two estimates is proved. At the same time the consistency rate of estimate α is also given.