Khan Academy
9:20
Khan Academy
Dec 31, 2016
Khan Academy
Worked example: estimating eˣ using Lagrange error bound
9:20
Worked example: estimating eˣ using Lagrange error bound
Dec 31, 2016
Khan Academy
SOLVED:The Exponential distribution is given by f(X ; θ)=(1)/(θ) e^-X / θ X>0 and θ>0 This is a skewed and continuous distribution defined only over the positive quadrant. (a) Show that E(X)=θand var(X)=θ^2. (b) Show that θM L E=X̅. (c) Show that the method of moments estimator of θis also X̅. (d) Show that X̅ is an unbiased and consistent estimator of θ. (e) Show that X̅ is sufficient for θ. (f) Derive the Cramér-Rao lower bound for any unbiased estimator of θ? Is X̅ MVU for θ? (g) For n=20
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