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By the above conclusion, E(g(θ)X) = l(t(X)) for some function l(·)Take conditional expectation for both sides with respect to the algebra σ(t(X))Note that σ(t(X)) ⊂ σ(X) By the Tower theorem, l(t(X)) = E(g(θ)t(X))This proves the second conclusion Example Let X1,··· , be iid from N(µ,1) and µ∼ π(µ) = N(µ0,τ0)We know.

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SOLUTIONS OF SELECTED PROBLEMS Problem 36, p 63 If µ(E n) < ∞ and χ E n → f in L1, then f is ae equal to a characteristic function of a measurable set Solution By Corollary 232, there esists a subsequence χ. Kitami ý h ¹ Ë ¨ ¬ z ¯ sapporo ¼ Æ è ä ä ã d l} / þ ÿ è!. Title Microsoft Word Regulamin Å wiadczenia usÅ ug drogÄ elektronicznÄ docx Author Marek Kolasa Created Date 8/28/ AM.

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300 400 500 Seebeck Coefficient( VK Œ1) Temperature(K) Œ300 Œ0 Œ100 0 K 8Sn 44 2 T R z f w º w2a ± Ä wBa Sr t õ b \ q t z ® í m* U ÿ. $7 & µ è ¸ ^ y Ü É ã é z $7 & = Ê ¯ d X l ê Ç b. Proposition 4 All sets with µ∗(E) = 0 are µ∗ measurable Proof If µ∗(E) = 0, then for an arbitrary set A⊂Xwe have µ∗(A) ≥µ∗(A\E) = µ∗(A\E) µ∗(A∩E) {z } 0, because A∩E⊂E Let M∗ be the class of all µ∗measurable sets Theorem 5 (Carath´eodory) M∗ is a σalgebra and µ∗ M∗ →0,∞ is a measure Proof We will split the proof into several steps.

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Maleda Times Media Group

Maleda Times Media Group

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Ue Ue Xl Cxg のギャラリー

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Maleda Times Media Group

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A A A A A A A A A A Za A A A A A A A A A Sa Aµa A C A A A A Za A A A A A A A A A A Aª Clipnabber Com Youtube

A A A A A A A A A A Za A A A A A A A A A Sa Aµa A C A A A A Za A A A A A A A A A A Aª Clipnabber Com Youtube

Maleda Times Media Group

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Category ă Wikimedia Commons

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Maleda Times Media Group

Maleda Times Media Group

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Dehai News Mailing List Archive Tigrigna Voanews Com A ªa As As A µa Aœµa Aˆ Aˆµ As Aˆ A µ A Aˆ A µaˆ A A Aˆ A A Aˆˆa Z Aˆ A µaˆ As A A Aˆ Aˆ A As A µ As Aˆa µaˆ As As A µa Aœµa As As A A Aˆ As Aœ A As A Aˆ A As A

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Maleda Times Media Group

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Category ă Wikimedia Commons

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Maleda Times Media Group

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Maleda Times Media Group

Maleda Times Media Group

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Maleda Times Media Group

Maleda Times Media Group

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Dehai News Mailing List Archive Tigrigna Voanews Com A ªa As As A µa Aœµa Aˆ Aˆµ As Aˆ A µ A Aˆ A µaˆ A A Aˆ A A Aˆˆa Z Aˆ A µaˆ As A A Aˆ Aˆ A As A µ As Aˆa µaˆ As As A µa Aœµa As As A A Aˆ As Aœ A As A Aˆ A As A

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Category ă Wikimedia Commons

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Maleda Times Media Group

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Maleda Times Media Group

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