Show that for the Poisson regression model in (6.2), (sum_{i=1}^{n} y_{i} x_{i j}) is a sufficient statistic

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Show that for the Poisson regression model in (6.2), $\sum_{i=1}^{n} y_{i} x_{i j}$ is a sufficient statistic for $\beta_{j}(1 \leq j \leq p)$.

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Applied Categorical And Count Data Analysis

ISBN: 9780367568276

2nd Edition

Authors: Wan Tang, Hua He, Xin M. Tu

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Question Posted: Mar 30, 2024 07:00 AM

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Show that for the Poisson regression model in (6.2), (sum_{i=1}^{n} y_{i} x_{i j}) is a sufficient statistic

Question:

log()=xB=Bxi1+...+pip (6.2)

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Applied Categorical And Count Data Analysis

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