The Properties Of The Five Shifted Nested N Samples Of Order Statistics

Order statistic is a basic concept in probability theory and statistics, and it has important applications in a lot of problems. In this paper, we discuss a kind of multiple integral that relates to the enumeration of Young tableaux in combinatorial mathematics and distribution of shifted nested order statistic.This paper considers the distribution of the five shifted nested order statistic:First the values of G1,5, G2,5, G3,5, G4,5 are given, then two important properties of Gn,5 are obtained which imply the following recursion relation: withThe distribution of the four shifted nested order statistic is also discussed. The recursion relation of Gn,4 is given by: with...