Question: Consider an i.i.d. sample {Yi ,Xi } i 1, ...,n where Y and X are scalar. Consider the reverse projection model X Y

Consider an i.i.d. sample {Yi ,Xi } i Æ 1, ...,n where Y and X are scalar. Consider the reverse projection model X Æ Y °Åu with E[Y u] Æ 0 and define the parameter of interest as µ Æ 1/°.

(a) Propose an estimator b° of °.

(b) Propose an estimator bµ of µ.

(c) Find the asymptotic distribution of bµ.

(d) Find an asymptotic standard error for bµ.

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