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Chapter 7 deals with comparison between sample statistics such as the mean and proportions and the population statistics. Often the population statistics is referred to as the standard. 1. Know what is meant by statistical estimation. An estimator is a statistical parameter that provides an estimation of a population parameter. Again, for this example, the method of moments estimators are the same as the maximum likelihood estimators. In some cases, rather than using the sample moments about the origin, it is easier to use the sample moments about the mean.