Give inverse-transform, composition, and acceptance-rejection algorithms for generating from each of the following densities. Discuss which algorithm is preferable for each density. (First plot the densities.)

 

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3x if -1<x<1 (а)? л) otherwise For 0 <a<, if xs0 if 0 sxsa a) a(1 (b)? if a sxs1- a f(x) a 1. if 1-asxsI a(1 - a) if 1 sx 3x if -1<x<1 (а)? л) otherwise For 0 <a<, if xs0 if 0 sxsa a) a(1 (b)? if a sxs1- a f(x) a 1. if 1-asxsI a(1 - a) if 1 sx

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Step 1 of 2 A aThe density looks like this 175 150 125 100 Sx 075 050 025 000 15 1 05 05 1 15 Invers... View the full answer