Prove the following theorem Theorem 17-2. Let {T„} be a sequence of estimators such that for all 0 e 0,(i) Eg (Tи) — Y(Ө), п — ооand (ii) Vare (Tn) →0, as n –→∞.Then T, is a consistent estimator of y(0).

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Answered: Theorem 17-2. Let {T„} be a sequence of…

Theorem 17-2. Let {T„} be a sequence of estimators such that for all 0 e 0, and (ii) Vare (Tµ) →0, as n →∞, (i) Eg (T) → (0), n → 0 Then T, is a consistent estimator of y(0).

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.2: Properties Of Group Elements

Problem 32E: Prove statement d of Theorem 3.9: If G is abelian, (xy)n=xnyn for all integers n.

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Question

Prove the following theorem

Theorem 17-2. Let {T„} be a sequence of estimators such that for all 0 e 0,
(i) Eg (Tи) — Y(Ө), п — оо
and (ii) Vare (Tn) →0, as n –→∞.
Then T, is a consistent estimator of y(0).

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