- #1
dspampi
- 16
- 0
Homework Statement
Let X1, X2,...Xn be a random sample from pdf,
f(x|θ) = θx-2 where 0 < θ ≤ x < ∞
Find the MLE of θMy attempt:
Likelihood fxn: L(θ|x) = ∏θx-2 = θn∏ θx-2
And to find MLE, I take Log of that function and partial derivative (w.r.t θ, of log L(θ|x) and set that = 0, and get: n/θ = 0
However, I realize that θ ≤ x and θ > 0...what do I need to do to incorporate this to my likelihood function?
In class we discuss about Fisher Information and I have a guess that it has some involvement with this problem, but I'm not sure why and what we can use Fisher Information for this problem?[/SUP][/SUP][/SUP][/SUP][/SUB][/SUB][/SUB]