UniMaths
Free chapterTry everything here: cards, proofs and practice. Sign up free to save your progress and unlock all 6 chapters.Sign up free
STAT2 · 1

Estimation

11 concepts · 25 questions

← Back to cards1 / 5
STAT2Problem●●●○○new1 Estimation

For i.i.d. XiX_i with density f(x;θ)=θx−θ−1f(x;\theta) = \theta x^{-\theta - 1} on x>1x > 1 (θ>0\theta > 0), find the MLE of θ\theta and of P(X>2)=2−θ\mathbb{P}(X > 2) = 2^{-\theta}.