Prove the assertions made in Example 3 3 (iv), (vi) and (vii) use (2 6) for (vii) Data from example 3 3 Equation 2 6 (i) P(X) is a o algebra (the maximal o algebra in X) (ii) 0, X) is a o algebra (the minimal o algebra in X) (iii) 0, B, B, X), BC X, is a o algebra (iv) 0, B, X) is no o algebra (unl...

Prove the assertions made in Example 3.3 (iv), (vi) and (vii). [ use (2.6) for (vii).] Data

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Prove the assertions made in Example 3.3 (iv), (vi) and (vii). [ use (2.6) for (vii).]

Data from example 3.3

Equation 2.6

$(Uci)=U^(C), iEI iEI f'(na)=(C), iEI iEI f(C\D)=f(C) \(D).$

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Measures Integrals And Martingales

ISBN: 9781316620243

2nd Edition

Authors: René L. Schilling

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Question Posted: Jan 23, 2024 10:00 AM

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Prove the assertions made in Example 3.3 (iv), (vi) and (vii). [ use (2.6) for (vii).] Data

Question:

(i) P(X) is a o-algebra (the maximal o-algebra in X). (ii) {0, X) is a o-algebra (the minimal o-algebra in X). (iii) {0, B, B, X), BC X, is a o-algebra. (iv) {0, B, X) is no o-algebra (unless B=0 or B=X).

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iv vi vii Let us assume th...View the full answer

Measures Integrals And Martingales

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