I saw that the pdf of the sum of two independent Weibull random variables is not known in general.
However, in the case of 'shape parameter = 1/2' in both variables, is there a closed-form expression of the pdf of the sum of two Weibull random variables?
Sum of two Weibull random variables with shape parameter = 1/2 is same with sum of two square of exponential random variables.
If not, can I calculate the probability of the sum of two Weibull random variables through Wolfram Alpha?