Here is the Cauchy model by putting 𝑛 = 1, 𝜇 = 𝜃, 𝜎 = 1 in the student's t-model:

$f(y|\theta)=\frac{1}{\pi\cdot(1 + (y - \theta)^2)}$

Is the kernel (the parts that contain y) $\frac{1}{(1 + (y - \theta)^2)}$? Or there is a way to further extract parts that have nothing to do with y? Thank you in advance!


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