An unbiased estimator of a population parameter is one whose average (mean)over all possible random samples of a given size equals the value of the parameter.

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An unbiased estimator is designed in such a way that it gives a fair estimate of the true value of the population parameter. In other words, it has no systematic bias or tendency to overestimate or underestimate the parameter. Therefore, its average (mean) over all possible random samples should be equal to the true value of the parameter.

An Unbiased Estimator of a Population Parameter Is One Whose