Abstract
For a random sample of fixed size \(n\) from beta distribution \({\textrm{B}}(a,b)\) , we construct the Rao test for testing thesimple hypothesis \(a=b=1\) , which discriminates the uniformdistribution from beta alternatives with asymptotically moststringency. Using statistical simulations, we present graphicalillustrations of the obtained estimator of the test power incomparison with the power envelope function, and an estimator ofthe stringency indicator is made.
