ONE-SIDED TEST OF THE MINIMUM PARAMETER

When independent random variables Xt (i = 1, 2, , k) have proba bility density fe, with monotone likelihood ratio respectively, we consider testing Ho : min(01 i 02, , Ok) = B* vs. H1 : min(61, 02 i , Ok) > 0* for a constant 0*. We give a class of similar tests and find an unbiased test in this class. We apply and extend the arrangement ordering argu ments. It is also proved that this unbiased test has a monotone power function. A modification to testing HI : min(81, 02, •,• • , Ok) < 0* vs. H1 is also considered.