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Mathematics course of the University of Cambridge

Past exam of the mathematics course of the University of Cambridge

2022

Paper 1

A standard moment estimator is the <Pearson dispersion estimator>
$$
\boxed{
\widehat\phi=
\frac1{n-p}\sum_{i=1}^n
\frac{(Y_i-\widehat\mu_i)^2}{V(\widehat\mu_i)}}.
$$
For Bernoulli data, $V(\mu)=\mu(1-\mu)$. The deviance divided by its residual degrees of freedom is a common alternative.

Solution

Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 1 / 13J / d / Solution

Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 1 / 13J / d / Solution

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Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 1 / 13J / d / Solution

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