Is strong law of large numbers an improvement of weak law of large numbers ?
2026-03-27 07:50:59.1774597859
Is strong law of large numbers an improvement of weak law of large numbers?
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The strong law of large numbers refers to almost sure convergence, while the weak law of large numbers corresponds to the convergence in probability.
The laws of large numbers are called strong and weak respectively because almost sure convergence implies convergence in probability, but the converse need not be true. Hence, we can say that the strong law is a strengthening of the weak law.