Consider the Poisson log-linear model [y_{i} mid mathbf{x}_{i} sim text { Poisson }left(mu_{i} ight), quad log left(mu_{i}
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Consider the Poisson log-linear model
\[y_{i} \mid \mathbf{x}_{i} \sim \text { Poisson }\left(\mu_{i}\right), \quad \log \left(\mu_{i}\right)=\mathbf{x}_{i}^{\top} \boldsymbol{\beta}, \quad 1 \leq i \leq n\]
Show that the score equations have the form (6.9), with \(D_{i}=\frac{\partial \mu_{i}}{\partial \beta}\) and \(V_{i}=\mu_{i}\).
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Related Book For 
Applied Categorical And Count Data Analysis
ISBN: 9780367568276
2nd Edition
Authors: Wan Tang, Hua He, Xin M. Tu
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