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Sample Mean Is An Unbiased Estimator

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Sample Mean Is An Unbiased Estimator. This short video presents a derivation showing that the sample mean is an unbiased estimator of the population mean. An unbiased estimator of a parameter is an estimator whose expected value is equal to the parameter.

Expected Value How Is The Sample Mean An Unbiased Estimator Of The Population Mean Via Deeplearningbook Org Cross Validated
Expected Value How Is The Sample Mean An Unbiased Estimator Of The Population Mean Via Deeplearningbook Org Cross Validated from i.stack.imgur.com
Here is the precise definition. This short video presents a derivation showing that the sample mean is an unbiased estimator of the population mean. Is an unbiased estimator of μ.

The average value of these observations is the sample mean.

The average value of these observations is the sample mean. Let x1,x2,…,xn form a random sample from a population with mean μ and variance σ2. That is, if the estimator s is being used . The sample mean is an unbiased estimator for the population mean.