The Research Of (1,0,0) Type Shifted Nested Of Order Statistics

The distribution of order statistic is an important subject of probability theory,The(1,0,0)type shifted nested of order statistic can be applied to the enumeration of Young tableaux.In this paper,we research the(1,0,0)type shifted nested of order statistics using the method of the multiple integral.The paper considers the following nested multiple integral:here The empirical formulas of gn(n≤7)are discussed and then the combinatorial summations is given byfinally,the recursion relation is given byand it is proved by induction.