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Q145Section III (Statistics)145 of 190

Minimax means the smallest worst-case risk: d2d_2

Consider a statistical decision problem with Θ={θ1,θ2}\Theta=\{\theta_1,\theta_2\} and D={d1,d2,d3,d4}D=\{d_1,d_2,d_3,d_4\}. The risk functions are given by:

θ/dd1d2d3d4θ14152θ21233\begin{array}{c|cccc} \theta/d & d_1 & d_2 & d_3 & d_4\\\hline \theta_1 & 4 & 1 & 5 & 2\\ \theta_2 & 1 & 2 & 3 & 3 \end{array}

Then:

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