52. Consider the problem of testing H :'II = in the family of densities (62) when it is given that a > c > 0 and that the point (ru , .. . , i.. ) of (63) lies in a bounded region R containing a rectangle, where c and Ii are known. Then Theorem 7 is no longer applicable . However, unbiasedness of a test 1/1 of H implies (67), and therefore reduces the problem to the class of permutation tests. [Unbiasedness implies !1/I(z)P".r(z) dz = a and hence a = f ",(z)P" .r(z) dz = f ",(z) (~a)Nexp[- 2~2 [[(Zii - riJ2] for all a > c and r in R. The result follows from completeness of this last family.)