 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ii/paper-1/13j/d/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

A standard moment estimator is the Pearson dispersion estimator

ϕ = \frac{1}{n - p} i = 1 \sum n \frac{( Y _{i} - μ _{i} ) ^{2}}{V ( μ _{i} )} .

For Bernoulli data,

V (μ) = μ (1 - μ)

. The deviance divided by its residual degrees of freedom is a common alternative.

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