Let (U, V sim_{text {iid }} mathscr{U}(0,1)). The reason why in Example 3. 7 the sample mean
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Let \(U, V \sim_{\text {iid }} \mathscr{U}(0,1)\). The reason why in Example 3.
7 the sample mean and sample median behave very differently is that \(\mathbb{E}[U / V]=\infty\), while the median of \(U / V\) is finite. Show this, and compute the median. [Hint: start by determining the cdf of \(Z=U / V\) by writing it as an expectation of an indicator function.]
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Related Book For
Data Science And Machine Learning Mathematical And Statistical Methods
ISBN: 9781118710852
1st Edition
Authors: Dirk P. Kroese, Thomas Taimre, Radislav Vaisman, Zdravko Botev
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