Thread: Gamma distribution

Let X have a gamma distribution with parameters a>0, b>0. Find the mode of X.
I have no idea of how to solve this question. Any help is appreciated!

Kind regards!

I have done it by taking the p.d.f, taking logarithms, finding the derivative and set it equal to 0 so I could find the values that maximises the p.d.f and so the mean of X. Thanks anyway

Originally Posted by Darkprince

Let X have a gamma distribution with parameters a>0, b>0. Find the mode of X.
I have no idea of how to solve this question. Any help is appreciated!

Kind regards!

By definition the mode is the x-coordinate of the maximum turning point of the pdf. So just use calculus.