β̂ = (XᵀX)⁻¹ Xᵀy
∫ liminf fₙ dμ ≤ liminf ∫ fₙ dμ
√n (X̄ − μ)/σ →ᵈ N(0,1)
P(X ≥ a) ≤ E[X] / a
φ(E[X]) ≤ E[φ(X)]
Var(θ̂) ≥ 1 / I(θ)
lim ∫ fₙ dμ = ∫ lim fₙ dμ
D_KL(P ‖ Q) = Σ P log(P/Q)
X̄ₙ →ᵃ·ˢ· μ
I(θ) = −E[∂² ln f / ∂θ²]
P(|X−μ| ≥ kσ) ≤ 1/k²
E[g(X)(X−μ)] = σ² E[g′(X)]
L(θ) = ∏ᵢ f(xᵢ | θ)
σ² = Σ(xᵢ − μ)² / n
AIC = 2k − 2 ln(L̂)
Yue Yu
Incoming Ph.D. Student
Stata Family Presidential Fellow
MIT EECS
77 Massachusetts Avenue, Cambridge, MA 02139, USA
yueyu518@mit.edu
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