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Jun 4, 2014 at 4:42 comment added Shravan Mohan Thanks wolfies. It is clear to me that a positive linear combination of independent log normal rv's would have a positive third central moment. But I am looking for a general case. It seems to be a folk-lore that the skewness of one sided distributions (say positive sided) is positive. I am looking for a formal argument for/against it. In particular, I am interested in a positive linear combination of log normal rv's.
May 29, 2014 at 20:56 history edited wolfies CC BY-SA 3.0
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May 29, 2014 at 20:48 history edited wolfies CC BY-SA 3.0
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May 29, 2014 at 20:38 history answered wolfies CC BY-SA 3.0