Prove that a sufficient statistic for the parameter (beta_{j}) in the model (4.25) is given by (T_{j}(x)=sum_{i=1}^{n}

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Prove that a sufficient statistic for the parameter \(\beta_{j}\) in the model (4.25) is given by \(T_{j}(x)=\sum_{i=1}^{n} y_{i} x_{i j}(1 \leq j \leq p)\).

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