Subject: is sum of dependent log-normal still log-normal?

Hi, there.  I have a question here about log-normal random variables here.

r = sum_k{ exp(a_k * n + b_k) }

where n follows a normal distribution, which makes each addend in the
above sum a log-normal random variable.  My question is whether or not r
is a log-normal random variable.  Anyone can give me a clue?  Thanks a
lot.

Wenyan

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