# How to define the bounds of Gamma distribution (a,b)

I am looking for how to calculate the interval of the gamma density distribution when setting the priors in Bayesian estimation. For beta(a,b) the mean of X= E(X)=a/(a+b) and variance is V(X)=(a+b)/(a+b+1)(a+b)², as we define the mean and varaince from the common values in the literature I return and calculate a and b. Please for gamma (a,b) distribution with E(X)=0.74 and std(X)=0.0056 how to find a and b?

NOTE:-

Matlabsolutions.com provide latest MatLab Homework Help,MatLab Assignment Help for students, engineers and researchers in Multiple Branches like ECE, EEE, CSE, Mechanical, Civil with 100% output.Matlab Code for B.E, B.Tech,M.E,M.Tech, Ph.D. Scholars with 100% privacy guaranteed. Get MATLAB projects with source code for your learning and research.

The Wikipedia article on the Gamma distribution (link) indicates that:

`gamma_mean = a*b;gamma_var = a*b^2;`

so with your data:

`gamma_mean = 0.74gamma_var = 0.0056^2                        % Var is StDev^2b = gamma_var/gamma_meana = gamma_mean/bb =   4.2378e-05a =        17462` 