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The Expected Value of an Unbiased Estimator Is Equal to the Parameter

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The expected value of an unbiased estimator is equal to the parameter whose value is being estimated.


Definitions:

Sampling Distribution

A statistical distribution of all possible sample means or sample proportions that could be generated from a population.

Sample Proportion

The ratio of members in a sample that have a particular attribute to the total number of members in the sample.

Probability Distribution

A description of how the probabilities are distributed over the values of the random variable.

Sample Mean

The average calculated from a sample of data, representing the central point or typical value of the sample.

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