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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)
