Why I am finding two formulas for the gamma distribution
The one in my textbook is {1/(beta)^alpha*gamma(alpha)} * x^alpha-1 * exp(-x/beta)
The one I found on the internet is {beta^alpha/gamma(alpha)}* x^alpha-1 * exp(-beta*x)
(I have plotted these graphs for specific values of alpha and beta, they are not similar ) are they two different?? if not can you tell why?
Thanks in advance
As Wikipedia tells us, Gamma distribution can be formulated in terms of shape $k$ and scale $\theta$, or in terms of shape $\alpha=k$ and rate $\beta = 1/\theta$.
Although, it is atypical to call denote scale with $\beta$, it happens sometimes. Both formulas are the same if you let $\beta \to \beta^{-1}$