Probability

Suppose that X1,X2 … ∼ Exp(λ) for some λ > 0, and consider the unbiased estimator that you found in problem 2 of homework 3.
Compute the Fisher information for a single Exponential observation with respect to λ, IX1(λ). Does your estimator attain the Cramér-Rao lower bound?
Using the result from (a), can you determine whether or not your estimator is MVUE? Explain.
Using the Lehmann-Scheffé theorem, can you determine whether or not the estimator is MVUE? Explain.

Sample Solution

Saint Worship

Considering the clarification of saint love legend and valor, numerous individuals envision comparable scenes. Firemen pulled out families from consuming structures, troopers safeguarded the detachment from one passing, salvage laborers pulled climbers abandoned from a precarious window outline, and round table cavaliers had a difficult We saved the young ladies, these are “general” saints. Numerous individuals show bravery in their every day life, however they are once in a while perceived by colleagues and media.

Saint love, fundamentally characterized as unnecessary applause for people, is a quality of associates of the animation book and established researchers. For comic fans, chivalrous love is past close to home steadfastness to Batman and Ironman, just as reliability to singular scholars and specialists. In like manner, in the logical world, this sort of saint love generally shows up as an improvement for singular researchers and analysts. From the start, concentrating on such ‘incredible men’ may appear as though a helpful apparatus for logical advancement as per the natural nature of animation book fans, and maybe as needs be, this inclination The center will at last crush both.

§ 85. As indicated by an examination of proof of old Greece, the saint’s love is an essential nearby custom and obviously it is restricted to a particular spot. Every district has its own arrangement of nearby legend. The neighborhood saint adored can be male, female, grown-up, or youngster. In the antiquated Greek world, a great many neighborhood saints were loved in their individual spots. Among these saints are notable to us through verse including sagas (every legend (essential or optional) referenced in Iliad and Odyssey might be a nearby legend) . Others have not referenced any of the sonnets we know.

§84. Notwithstanding the propensities for loving old Greek legends and numerous typological similitudes, parentages likewise have likenesses. A normal model is an act of love by Hindus, it despite everything shows up in different structures today. Saints, for example, Arjuna, one of the Pāṇḍavas of epic Maha Balata, are venerated with regards to the {85 | 86} celebration of endless nearby celebrations, including really relinquishing creature casualties It was. Proliferation – brave and emotional – Hero beneficial experience

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