Using the notation of Section 8.5.3, suppose that and are

Chapter , Problem 37

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Using the notation of Section 8.5.3, suppose that \(\underline{\theta}\) and \(\bar{\theta}\) are lower and upper quantiles of the distribution of \(\theta^*\). Show that the bootstrap confidence interval for \(\theta\) can be written as \((2 \hat{\theta}-\bar{\theta}, 2 \hat{\theta}-\underline{\theta})\).

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