My Math Forum Beta distribution trivial question

 September 23rd, 2013, 11:50 AM #1 Newbie   Joined: Apr 2013 Posts: 2 Thanks: 0 Beta distribution trivial question Anybody knows that it is easy to get the beta mean and variance given the parameters $\alpha$ and $\beta$ of the distribution (http://en.wikipedia.org/wiki/Beta_distribution). Can we do right the opposite? I.e. is there any way to go uniquely from mean and variance to the beta parameters?
September 23rd, 2013, 01:09 PM   #2
Global Moderator

Joined: May 2007

Posts: 6,755
Thanks: 695

Re: Beta distribution trivial question

Quote:
 Originally Posted by markuz Anybody knows that it is easy to get the beta mean and variance given the parameters $\alpha$ and $\beta$ of the distribution (http://en.wikipedia.org/wiki/Beta_distribution). Can we do right the opposite? I.e. is there any way to go uniquely from mean and variance to the beta parameters?
I answered this on another forum. You need to solve a cubic equation. Uniqueness would result from the requirement that both parameters be positive reals.

 Tags beta, distribution, question, trivial

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post rayman Abstract Algebra 2 November 21st, 2012 03:16 AM HairOnABiscuit Abstract Algebra 2 October 4th, 2012 08:08 PM ChessTal Algebra 6 August 15th, 2011 05:18 PM Scoriger Advanced Statistics 0 January 31st, 2010 04:24 PM bigfatgingercat Advanced Statistics 0 September 27th, 2009 08:13 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top