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68

Let m_i = E(w_i ∣ N), when maximizing the utility function, straightforward alge-
bra shows that the optimal rule is

d,^s = I{m_i >c∕{k+ 1)).

(3.35)

Once we have a simulated sample (/jɪ, ðɪ),..., (∕¾^v, J∙^w) of δi) given the data.
We can estimate m⅛ with

1 ^M

⅛⅛∑M>tf>⅛

(3.36)

¹ fc=l

and then make the decision d_i^β.

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