Have $ x_{1}$ ... $ x_{10}$ r.v from a distribution with PDF:
$$ f(x;\theta) = e^{ - (x- \theta) },\, \theta \leq x \lt \infty $$
Know that $ \theta_{MLE} = Y = min(X_{i}) $
How do I go about finding the PDF of Y?
Have $ x_{1}$ ... $ x_{10}$ r.v from a distribution with PDF:
$$ f(x;\theta) = e^{ - (x- \theta) },\, \theta \leq x \lt \infty $$
Know that $ \theta_{MLE} = Y = min(X_{i}) $
How do I go about finding the PDF of Y?