Z = U(0,1)*N(0,1) + U(0,1)*N(0,1) + ... + U(0,1)*N(0,1) is distributed how?




If I have a r.v. Z which is the sum of n products where each product
is a Uniform r.v. multiplied by a standard normal r.v., what is the
distribution of Z? I am curious as I am simulating a factor loaded
model with random numbers.

Thanks for you help in advance,
Liam

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