Moment (mathematics) - Sample Moments

Sample Moments

The moments of a population can be estimated using the sample k-th moment

applied to a sample X1,X2,..., Xn drawn from the population.

It can be shown that the expected value of the sample moment is equal to the k-th moment of the population, if that moment exists, for any sample size n. It is thus an unbiased estimator.

Read more about this topic:  Moment (mathematics)

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