biased estimators

How Do You Find The Most Efficient Estimator?

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How Do You Find The Most Efficient Estimator? Efficiency: The most efficient estimator among a group of unbiased estimators is the one with the smallest variance. For example, both the sample mean and the sample median are unbiased estimators of the mean of a normally distributed variable. However, X has the smallest variance. What is

What Does It Mean To Say That The Sample Mean Is An Unbiased Estimator Of The Population Mean?

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What Does It Mean To Say That The Sample Mean Is An Unbiased Estimator Of The Population Mean? The sample mean is a random variable that is an estimator of the population mean. … The expected value of the sample mean is equal to the population mean μ. Therefore, the sample mean is an unbiased