For integersx, y: thenegation ofx≥y is x≤(y-1)π-λtheoremProve itfor simpleRVs firstSomethinglegitimatelyrelevant toVegasWald's1ˢᵗequationFlippanttreatment ofa measure-0setL²⊆L¹Showintegral is0 usingFatouThe nᵗʰincrement Xₙof a RW isindependentfrom Sₙ₋₁Arithmeticwith 0 and ∞to derive acontradictionIdentically distributedRVs have the sameexpectation/varianceThe lim-inf equalsthe limPull sum ofindicatorfunctions out of(or into) anintegral viaBeppo LevyStandardize aRV, then use acalculation forthe standardversionProbabilitythat arandom walkwill exit [a,b]at b is b/(b-a)Convergencein probabilityUseenumeration ofℚ or stateseparability as anecessaryconditionA result for allintervals [-∞, b]impliessomethingabout allintervals [a,b]Can't useDCTbecause thesum may notbe L¹Wald's2ⁿᵈequationProve integralsare equal byintegrating theirdifferenceWrite ℤ-valued RVas a sum ofindicatorfunctionsDo somethingwith anonnegative RVthat would notwork for a real-valued RVA is the smallest___ containing B;and C is a ___containing B;therefore Ccontains A.For integersx, y: thenegation ofx≥y is x≤(y-1)π-λtheoremProve itfor simpleRVs firstSomethinglegitimatelyrelevant toVegasWald's1ˢᵗequationFlippanttreatment ofa measure-0setL²⊆L¹Showintegral is0 usingFatouThe nᵗʰincrement Xₙof a RW isindependentfrom Sₙ₋₁Arithmeticwith 0 and ∞to derive acontradictionIdentically distributedRVs have the sameexpectation/varianceThe lim-inf equalsthe limPull sum ofindicatorfunctions out of(or into) anintegral viaBeppo LevyStandardize aRV, then use acalculation forthe standardversionProbabilitythat arandom walkwill exit [a,b]at b is b/(b-a)Convergencein probabilityUseenumeration ofℚ or stateseparability as anecessaryconditionA result for allintervals [-∞, b]impliessomethingabout allintervals [a,b]Can't useDCTbecause thesum may notbe L¹Wald's2ⁿᵈequationProve integralsare equal byintegrating theirdifferenceWrite ℤ-valued RVas a sum ofindicatorfunctionsDo somethingwith anonnegative RVthat would notwork for a real-valued RVA is the smallest___ containing B;and C is a ___containing B;therefore Ccontains A.

Math 5530H Bingo 1 - Call List

(Print) Use this randomly generated list as your call list when playing the game. There is no need to say the BINGO column name. Place some kind of mark (like an X, a checkmark, a dot, tally mark, etc) on each cell as you announce it, to keep track. You can also cut out each item, place them in a bag and pull words from the bag.


1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
  1. For integers x, y: the negation of x≥y is x≤(y-1)
  2. π-λ theorem
  3. Prove it for simple RVs first
  4. Something legitimately relevant to Vegas
  5. Wald's 1ˢᵗ equation
  6. Flippant treatment of a measure-0 set
  7. L²⊆L¹
  8. Show integral is 0 using Fatou
  9. The nᵗʰ increment Xₙ of a RW is independent from Sₙ₋₁
  10. Arithmetic with 0 and ∞ to derive a contradiction
  11. Identically distributed RVs have the same expectation/variance
  12. The lim-inf equals the lim
  13. Pull sum of indicator functions out of (or into) an integral via Beppo Levy
  14. Standardize a RV, then use a calculation for the standard version
  15. Probability that a random walk will exit [a,b] at b is b/(b-a)
  16. Convergence in probability
  17. Use enumeration of ℚ or state separability as a necessary condition
  18. A result for all intervals [-∞, b] implies something about all intervals [a,b]
  19. Can't use DCT because the sum may not be L¹
  20. Wald's 2ⁿᵈ equation
  21. Prove integrals are equal by integrating their difference
  22. Write ℤ-valued RV as a sum of indicator functions
  23. Do something with a nonnegative RV that would not work for a real-valued RV
  24. A is the smallest ___ containing B; and C is a ___ containing B; therefore C contains A.