Let ( = {(1, (2,...} and let A be a -field of subsets of (. Then show

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Let ( = {(1, (2,...} and let A be a σ-field of subsets of (. Then show that
(i) A = P(() if and only if {(i} ( A for all (i.
(ii) A measure μ on A(=P (()) is determined by defining μ ({(i}), i ( 1.

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An Introduction to Measure Theoretic Probability

ISBN: 978-0128000427

2nd edition

Authors: George G. Roussas

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Question Posted: Mar 25, 2016 03:21 AM

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Let ( = {(1, (2,...} and let A be a -field of subsets of (. Then show

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i If i A for all i then clearly every s...View the full answer

An Introduction to Measure Theoretic Probability

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