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Is it true to claim that LLN produces the property of Consistency? How do we intuitively differentiate between the terms as they seem equivalent?

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LLNs are theorems about convergence in probability (weak consistency) or almost sure convergence (strong consistency) for the special case where the sequence of random variables $\{b_N \}$ is made up of sample averages. You could have sequences of random numbers that are not means.

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