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k Suppose that Wk is a sequence of random variables. Prove that (supk≥n Wk)¯¹(a,∞) = UW(a,∞). What does this result tell us about the measurability of: Wk? supk≥n

k Suppose that Wk is a sequence of random variables. Prove that (supk≥n Wk)¯¹(a,∞) = UW(a,∞). What does this result tell us about the measurability of: Wk? supk≥n

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 42CR
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k Suppose that Wk is a sequence of random variables. Prove that (supk≥n Wk)¯¹(a,∞) = UW(a,∞). What does this result tell us about the measurability of: Wk? supk≥n
Transcribed Image Text:k Suppose that Wk is a sequence of random variables. Prove that (supk≥n Wk)¯¹(a,∞) = UW(a,∞). What does this result tell us about the measurability of: Wk? supk≥n
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