Distribution Of Four Skew Hollow Type Nested Order Statistics With Application

Order statistic has always occupied an important part of probability and statistics,and its distribution has been widely used in all kinds of mathematic fields,standard Young tableau(SYT),is defined as a graph with Ferrers from left to right,from top to bottom are strictly increased,the counting problem associated with it is an important one of the problems of combinatorial counting.In this paper,we mainly study the distribution and application of four skew hollow type nested order statistics from uniform distribution on interval(0,1).The skew type nested order statistics consists of four groups of independent order statistics(t1,t2),(x1,…,xn),(z1,z2),(y1,…,yn).Multiple integrals and combinatorial summations are used to evaluate the number of skew SYT-chart type of turncated shapes,distributions of nested order statistics from U(0,1)of the skew shape can be obtained.we also discuss the four skew type voting problem.The paper considers the following skew type nested order statistics:The probability is:...