Week 2 Flashcards

(21 cards)

1
Q

Transformation method

A

(X1, …, Xd) = (g-11(y1,…,yd), …, g-1d(y1, …, yd))

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2
Q

Box muller

A
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3
Q
A
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4
Q

Pseudo RNG/ LCG

A

Sampling U distributed Uniformly among integers {0, …, M -1}
X_0 is seed

Then X_n = (aX_(n-1) + c) % M

For some integers a,c M

Then U_n = X_n/M (which takes U[0,1])

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5
Q

Inversion method

A
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6
Q

Cauchy dist inversion

A
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7
Q

Inversion on discrete distributions

A
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8
Q

Transformation sum of expo

A
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9
Q

Transformation quotient of 2 gammas

A
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10
Q

Transformation multivariate Gaussian

A
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11
Q

Transformation poison

A
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12
Q

Simulate poison

A
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13
Q

Rejection sampling algo

A
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14
Q

Rejection sampling proof

A
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15
Q
A
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16
Q

Rejection sampling optimal M

17
Q

Rejection sampling curse of dim

18
Q

Rejection sampling box muller

19
Q

What can go wrong w rejection sampling

20
Q

Improved rejection sampling

A

(Don’t need π(x) for this!)