I'm aware of the mathematical definition of complete statistics, but I'm pretty confused about what does the completeness really mean. It would be better to have a practical example from you guys.
Regards, Li
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What you are looking for is a complete sufficient statistic. Look into Lehmann's Testing Hypotheses book. – Michael R. Chernick Feb 13 '17 at 12:57
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1See also [What is the intuition behind defining completeness in a statistic as being impossible to form an unbiased estimator of 0 from it?](http://stats.stackexchange.com/q/196601/17230). – Scortchi - Reinstate Monica Feb 13 '17 at 13:44