期刊论文

中文

喀什大学学报

2096-2134

2006

27

6

19-22

10.3969/j.issn.1006-432X.2006.06.007

本校为第一机构

考虑了一类有如下形式的对称统计量 Tn=（k（n-k）＋k（k-1）/2）^-1[^n-k∑i=1,i＋k∑=i＋1φ（x1,xj）＋^n-1∑i=n-k＋1^n∑i=i＋1φ（x1,xj）] 这里φ（x1,xj）为一对称函数，其中k为不大于n的自然数．这一表达形式是一类统计量，当k=n-1时，它就是-U统计量．在假定E（φ（x1,xj）≤M〈∞下，研究了Tn的强相合性．

A class of symmetric statistics which have the form of Tn=（k（n-k）＋k（k-1）/2）^-1[^n-k∑i=1,i＋k∑=i＋1φ（x1,xj）＋^n-1∑i=n-k＋1^n∑i=i＋1φ（x1,xj）] where φ（x1,xj） is a symmetric function and k is a natural number with k≤n, so Tn are a class of statistics, and it is U statistics when k = n - 1. Their strong consistency are studied under the hypothesis of E...