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Limit theorems

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Chebyshev's inequality
Markov's inequality
Convergent in probability
Weak law of large numbers
Almost surely convergent
Strong law of large numbers
Finite variance (as LLN assumption)
Almost sure convergence (vs in probability)
Stirling's approximation
CDF of the standard normal distribution
Standardizing (or normalizing)
De Moivre–Laplace theorem
Poisson limit theorem
Central limit theorem (CLT)