In article <b35e9888-a8e6-4995-84a9-c81afdccf...@y32g2000prd.googlegroups.com>,
Andrew Sci.Maths <andrew.sci.ma...@gmail.com> wrote: >I am trying to find f(x) in y^2 = integral(y^x * f(x) d x) from (- >infty to infty), with x,y Real. >I'm not sure how to approach this question, i'm tempted to say: >f*(x,y) = y^(2-x) >But f is independent of y. >any ideas?
Of course it does not exist. Look at what happens to the integrand for x > 2 and for x < 2.
In fact, if y^2 = \int y^x d\mu(x), the measure mu would have to give measure 1 to {2}, and 0 to the rest of the real line. -- This address is for information only. I do not claim that these views are those of the Statistics Department or of Purdue University. Herman Rubin, Department of Statistics, Purdue University hru...@stat.purdue.edu Phone: (765)494-6054 FAX: (765)494-0558
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