Consider a probability space (N, F, P) and a random variable XE L(0, F, P). (a) Show that the collection of random variables (E[X | G] : GC F, G is a o-algebra} is uniformly integrable.

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Consider a probability space (N, F, P) and a random variable XE L0, F, P).
(a) Show that the collection of random variables {E[X | G] : GC F, G is a o-algebra} is
uniformly integrable.
Transcribed Image Text:Consider a probability space (N, F, P) and a random variable XE L0, F, P). (a) Show that the collection of random variables {E[X | G] : GC F, G is a o-algebra} is uniformly integrable.
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