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Mathematics course of the University of Cambridge

Past exam of the mathematics course of the University of Cambridge

2024

Paper 4

By the Delta method and consistency of the jackknife variance, Slutsky's theorem gives
$$
\frac{T_n-\theta}{\sqrt{v_{\rm JACK}}}\Rightarrow N(0,1).
$$
Therefore an asymptotically valid interval is
$$
\boxed{\left[T_n-z_{1-\alpha/2}\sqrt{v_{\rm JACK}},
T_n+z_{1-\alpha/2}\sqrt{v_{\rm JACK}}\right].}
$$


Solution

Past exam of the mathematics course of the University of Cambridge / 2024 / ii / Paper 4 / 28L / d / Solution

Past exam of the mathematics course of the University of Cambridge / 2024 / ii / Paper 4 / 28L / d / Solution

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Past exam of the mathematics course of the University of Cambridge / 2024 / ii / Paper 4 / 28L / d / Solution

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