The coefficient of variation of X is cv 100/ where 2 var[X] and

The coefficient of variation of X is cv Æ 100£¾/¹ where ¾2 Æ var[X] and ¹ Æ E[X].

(a) Propose a plug-in moment estimatorccv for cv.

(b) Find the variance of the asymptotic distribution of p

n (ccv¡cv) .

(c) Propose an estimator of the asymptotic variance ofccv.