Question: Consider hypothesis testing with /()| Ho) = 1/2; if ye [0. 2] and ()| Hi) = 2w/4; if y E [0, 2]. Both pdfs are

Consider hypothesis testing with /()| Ho) = 1/2; if ye [0.

Consider hypothesis testing with /()| Ho) = 1/2; if ye [0. 2] and ()| Hi) = 2w/4; if y E [0, 2]. Both pdfs are zero if y lies outside the interval [0. 2]. Consider uniform costs. Show that minimax rule is given by: Choose H, if y > r and Choose Ho ify

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The spatial rule: The closer spatial proximity we have to an event, the more importance we will attach to it.

The visual rule: If we observe an event with our own eyes, we will attach more weight to it than if someone else had described it to us.