Calculating Posterior distrib of gamma funct

[duraipandian]

guys
can u please help me out in calculating the posterior distib of the gamma function of form :

p(lambda/alpha,beta) = (beta^alpha)*lambda^(alpha-1)*(e^(-beta*lamda)))/gamma(a)

lambda>0 mean=alpha/beta mode = (alpha-1)/beta ;alpha>0

the integration seems really tuff which makes me feel tht I am going in the wrong direction.. can u guys help me out with this please...

 

[Focus]

I have no idea what you mean by the distribution of the Gamma function. The Gamma function has a Dirac distribution (same as saying it is deterministic). If you mean the Gamma distribution (you equation kinda looks like it), you may want to read http://en.wikipedia.org/wiki/Gamma_distribution
I would kindly ask that you use LaTex when writing equations or using simple constant/variables like a,b,c,d,e... I can't decipher the equation.

 

[duraipandian]

hey thnks for the reply.. My equation is same as the one given in http://en.wikipedia.org/wiki/Gamma_distribution under Probability density function with
g(x;a,b) all i need is to convert this into a posterior distrib with the formula being given at http://en.wikipedia.org/wiki/Posterior_distribution tht make integration terribly difficult.. please help me out in this regard...