Math 5530H Bingo 1

Math 5530H Bingo 1 Bingo Card
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This bingo card has a free space and 24 words: Convergence in probability, Prove integrals are equal by integrating their difference, Arithmetic with 0 and ∞ to derive a contradiction, Show integral is 0 using Fatou, The lim-inf equals the lim, Do something with a nonnegative RV that would not work for a real-valued RV, Write ℤ-valued RV as a sum of indicator functions, Pull sum of indicator functions out of (or into) an integral via Beppo Levy, Can't use DCT because the sum may not be L¹, Use enumeration of ℚ or state separability as a necessary condition, The nᵗʰ increment Xₙ of a RW is independent from Sₙ₋₁, Identically distributed RVs have the same expectation/variance, Wald's 1ˢᵗ equation, Wald's 2ⁿᵈ equation, Something legitimately relevant to Vegas, L²⊆L¹, Probability that a random walk will exit [a,b] at b is b/(b-a), Flippant treatment of a measure-0 set, Prove it for simple RVs first, π-λ theorem, Standardize a RV, then use a calculation for the standard version, A result for all intervals [-∞, b] implies something about all intervals [a,b], For integers x, y: the negation of x≥y is x≤(y-1) and A is the smallest ___ containing B; and C is a ___ containing B; therefore C contains A..

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