probability mass function fitting - MathOverflow most recent 30 from http://mathoverflow.net2013-05-21T12:20:38Zhttp://mathoverflow.net/feeds/question/14819http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/14819/probability-mass-function-fittingprobability mass function fittingliza2010-02-09T22:06:27Z2010-02-22T14:31:38Z
<p>I have a probability mass function of some experimental data who's log looks like the following: (please ignore the fact that it is not normalized)
<img src="http://img694.imageshack.us/img694/5408/screenshot3u.png" alt="alt text" /></p>
<p>(meaning if p(x) is the pmf, this is log(p(x)) )
Does anyone know what parametric family it might belong to? (note that this is a discrete distribution)</p>
http://mathoverflow.net/questions/14819/probability-mass-function-fitting/16059#16059Answer by Felipe Olmos for probability mass function fittingFelipe Olmos2010-02-22T14:31:38Z2010-02-22T14:31:38Z<p>I tried taking the logarithm to the pdf of a <code>$\beta(0.5, 1.5)$</code> (see <a href="http://en.wikipedia.org/wiki/Beta%5Fdistribution" rel="nofollow">Beta distribution</a>) and it gave me this </p>
<p><img src="http://img28.imageshack.us/img28/8616/screenshot20100222at112.png" alt="beta" /></p>
<p>Maybe this can be fitted for your data.</p>