Consider hypothesis testing with f(y|Ho) = 1/2; if y E [0, 2] and f(y|H1) = 2y/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 if y

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Consider hypothesis testing with f(y|Ho) = 1/2; if y E (0,2] and f(y|H1) = 2y/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 if y <r. The
%3!
value of r is
Answer:
Transcribed Image Text:Consider hypothesis testing with f(y|Ho) = 1/2; if y E (0,2] and f(y|H1) = 2y/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 if y <r. The %3! value of r is Answer:
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