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2025-11 Maxima of standard Gaussian - KAIST Math Problem of the Week
Let ( X_1, X_2, ldots ) be an infinite sequence of standard normal random variables which are not necessarily independent. Show that there exists a universal constant ( C ) such that (mathbb{E} left[ max_i frac{|X_i|}{sqrt{1 + log i}} right] leq C).
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2025-11 Maxima of standard Gaussian - KAIST Math Problem of the Week
Let ( X_1, X_2, ldots ) be an infinite sequence of standard normal random variables which are not necessarily independent. Show that there exists a universal constant ( C ) such that (mathbb{E} left[ max_i frac{|X_i|}{sqrt{1 + log i}} right] leq C).
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2025-11 Maxima of standard Gaussian - KAIST Math Problem of the Week
Let ( X_1, X_2, ldots ) be an infinite sequence of standard normal random variables which are not necessarily independent. Show that there exists a universal constant ( C ) such that (mathbb{E} left[ max_i frac{|X_i|}{sqrt{1 + log i}} right] leq C).
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