I have a pdf where I would like to test for the following hypothesis: H0: θ1=θ1,0; Ha: θ1>θ1,0, and f(x) =(1/θ1) exp((-x-θ2)/θ1), if x>θ2, and 0 otherwise, with θ2 unknown.
I constructed the likelihood function: L(x|θ1,θ2) = (1/θ1)^n*exp(∑(i=1 to n)((-xi-θ2)/θ1) and the log likelihood...