О ПРОВЕРКЕ ГИПОТЕЗ ПРИ СЕМЕЙСТВАХ БЛИЗКИХ АЛТЕРНАТИВ

In this article, there is considered a sequence of independent identically dis-tributed random variables with unknown distribution density , continuous in the interval [0,1]. The article describes the theorem, which allows to build an asymptotic level criterion Н0 hy-pothesis testing аccording to which , where – is the given density.