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The video discusses parameter estimation and introduces complete statistics. A statistic t following a distribution, with a parameter theta in the parameter space omega. A statistic t is complete for a distribution family script f if the expected value of any function of t equals zero implies that the function equals zero for all theta. Even if this is not true for one point, it's still considered. An example shows that the nth order statistic x n is sufficient and complete when x i is from a distribution.