The Properties Of N Groups Shifted Nested 4-samples Of Order Statistics

Order statistic is an important concept in probability theory and statistic theory.The enumeration of Young tableaux in combinatorial mathematics is an important subject.In this paper,we discuss a kind of a kind of multiple integral that relates to the enumeration of Young tableaux and distribution of shifted nested order statistic.The paper considers the following nested multiple integral:Here Dn is:hereIn this paper,through the calculation of concrete numerical value of G,n(n ≤ 6)empirical formulas are obtained,further empirical formula given by using mathematical induction of strict proof,finally it is concluded that the general term formula of In.