Thank you Herman and Glen for your reply's...they have helped me a lot.
have read something on log-concave distributions and now believe that the
sum of log-concanve distributions will also have a log-concave distribution
(and therefore is unimodal). However, I am wondering why the distribution of
the sum of logistically distributed variables is clearly symmetric. Is the
distribution of a sum of symmetrically distributed variables always
symmetric? I will probably use the Chebyshev type inequality (is this the
Camp-Weidell inequality?) to compute a one-tailed  probability bound, so I
think the information regarding symmetry is important.

Thank you again for your help, and hopefully you can help me out here as
well!

Regards,

Maarten


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