Distribution wanted - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-21T03:42:11Z http://mathoverflow.net/feeds/question/71569 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/71569/distribution-wanted Distribution wanted Piotr Miłoś 2011-07-29T12:24:51Z 2011-07-29T13:31:08Z <p>I have a centered random variables $Y_1,Y_2$ which first 10 moments are given respectively by </p> <p>$$0, 1, 0, 6, 0, 90, 0, 2520, 0, 113400$$</p> <p>$$0, 1, 0, 32/3, 0, 36847/100, 0, 436879364/15435, 0, 71230188570971/17781120$$</p> <p>May be someone is able to conjecture what is the law of $Y_1$ and/or $Y_2$. I.e. may be some "well-known" law has the same moments.</p> <p>The above values are limit cases of parametrised family of laws in (www.mimuw.edu.pl/~pmilos/moments.pdf) which I am in fact interested about. In principle, I could calculate higher momements using some recursive formula but its gets too complicated (even for mathematica). </p> http://mathoverflow.net/questions/71569/distribution-wanted/71572#71572 Answer by Andrew for Distribution wanted Andrew 2011-07-29T13:31:08Z 2011-07-29T13:31:08Z <p>The first sequence can be obtained with the pdf $f(x)=e^{-\sqrt2|x|}/\sqrt2\;$, the moments of order $2n$ being $(2n)!/2^n$.</p>