KP223 Study Guide - Final Guide: Bias Of An Estimator, Sufficient Statistic, Coil Spring
12 Dec 2015
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Document Summary
The method of moments is a simple technique based on the idea that the sample moments are natural estimators of population moments. The k-th population moment of a random variable y is k = e(y k), 0 k = 1, 2, . and the k-th sample moment of a sample y1, . Y k i , k = 1, 2, . , yn are assumed to be independent and identically distributed then the. Method of moments estimators of the distribution parameters 1, . , p are ob- tained by solving the set of p equations: 0 k = m0 k, k = 1, 2, . Under fairly general conditions, method of moments estimators are asymptot- ically normal and asymptotically unbiased. We will nd the method of moments estima- tors of and 2. So, the method of moments estimators of and 2 satisfy the equa- 2 = e(y 2) = 2 + 2, m0.
