10.1 TWO METHODS OF ESTIMATION 10.2 Confidence Interval 10.3 Small-Sample Confidence Intervals for parameters of n 1,The method of moments Recall that the kth moment of a random variable,taken about the origin,is ak E(Xk). The corresponding kth sample moment is the average n mk 1∑X i=1 The method of moments is based in the idea that the sample moments should provide good estimates of the corresponding population moments.That is,mk should be a good estimator of ok Xiaohan Yang Chapter 10 Point Estimationlogo 10.1 TWO METHODS OF ESTIMATION 10.2 Confidence Interval 10.3 Small-Sample Confidence Intervals for parameters of normal population 1,The method of moments Recall that the kth moment of a random variable, taken about the origin, is αk = E(X k ). The corresponding kth sample moment is the average mk = 1 n Xn i=1 X k i The method of moments is based in the idea that the sample moments should provide good estimates of the corresponding population moments.That is , mk should be a good estimator of αk Xiaohan Yang Chapter 10 Point Estimation