probability - Proof explanation - weak law of large numbers

Let $(X_i)$ be i.i.d. random variables with mean $\mu$ and finite variance. Then $$\dfrac{X_1 + \dots + X_n}{n} \to \mu \text{ weakly }$$ I have the proof here: What I don't understand is, why it

Proof of the Law of Large Numbers Part 1: The Weak Law, by Andrew Rothman

Law of large numbers - Wikipedia

Law of large numbers - Wikipedia

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Solved 1. (A weaker version of the weak law of large

SOLVED: Exercise 9.25: By mimicking the proof of Theorem 9.9, prove the following variant of the weak law of large numbers, in which the independence assumption is weakened. Theorem: Suppose that we

real analysis - Strong Law of Large Numbers - Converse - Mathematics Stack Exchange

Law of the iterated logarithm - Wikipedia

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probability - Proof explanation - weak law of large numbers - Mathematics Stack Exchange

Central Limit Theorem, PDF, Normal Distribution

Proof of the Law of Large Numbers Part 1: The Weak Law, by Andrew Rothman

Solved (a) The Weak Law of Large Numbers (WLLN) says: Let X

Weak Law of Large Numbers Brief Guide to Weak Law of Large Number