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Wikipedia:Reference desk/Archives/Mathematics/2014 January 1

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January 1

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Product distribution of piecewise defined probability density functions

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Can anyone give me a complete treatment / algorithm (the formula in the article is completely inadequate) of the product distribution of any two functions? I am interested in cases where the functions may be piecewise and range across positive and negative values. 68.0.144.214 (talk) 17:32, 1 January 2014 (UTC)[reply]

Having looked at the article, I don't understand the formula for the case of identical distributions each with density function f, surely a single-parameter function. So how can f appear with two parameters in the integral? Why is it not just the case above with the product being f(x)f(z/x)?31.54.113.130 (talk) 20:36, 2 January 2014 (UTC)[reply]
It should be f(x)f(z/x); I fixed the formula in the article so it should be correct now. --RDBury (talk) 02:18, 3 January 2014 (UTC)[reply]