seniorProbability
What is the difference between weak and strong law of large numbers?
Updated May 17, 2026
Short answer
Weak LLN ensures convergence in probability; strong LLN ensures almost sure convergence.
Deep explanation
Weak LLN states sample mean converges in probability to expectation. Strong LLN states convergence happens almost surely, a stronger guarantee. Both justify stability of averages but differ in mathematical strength.
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