Week 2 Flashcards
(21 cards)
Transformation method
(X1, …, Xd) = (g-11(y1,…,yd), …, g-1d(y1, …, yd))
Box muller
Pseudo RNG/ LCG
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])
Inversion method
Cauchy dist inversion
Inversion on discrete distributions
Transformation sum of expo
Transformation quotient of 2 gammas
Transformation multivariate Gaussian
Transformation poison
Simulate poison
Rejection sampling algo
Rejection sampling proof
Rejection sampling optimal M
Rejection sampling curse of dim
Rejection sampling box muller
What can go wrong w rejection sampling
Improved rejection sampling
(Don’t need π(x) for this!)