SOLVED: Rejection Sampling: Imagine YOu wanted to do rejection sampling (instead of inverse transform sampling) to sample from the density f in Question (1). For each of the following candidate densities, explain why it is Or isn t a good candidate (or somewhere in the middle). You don't need to do any R here: Hint: Think about the role of the support of the densities and their decay rate; that is; 'heavier Or 'lighter' tails (heavy tails are those that decay slowly; while light tails are those

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SOLVED:Section 3.8 introduced the accept-reject method for simulating continuous rvs. Refer back to that algorithm in order to answer the questions below, (a) Show that the probability a candidate value is "accepted" equals 1/c.[Hint: According to the algorithm, this occurs iff U ≤f(Y) / c g(Y), where U ∼Unif[0, 1) and Y ∼g . Compute the relevant double integral. (b) Argue that the average number of candidates required to generate a single accepted value is c . (c) Show that the accept-reject me

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