SOME POSET STATISTICS
成果类型：
Note
署名作者：
ROSENBAUM, PR
刊物名称：
ANNALS OF STATISTICS
ISSN/ISSBN：
0090-5364
DOI：
10.1214/aos/1176348141
发表日期：
1991
页码：
1091-1097
关键词：
摘要：
Statistics or functions are discussed that measure agreement between certain types of partially ordered data. These poset statistics are a generalization of two familiar classes of functions: the arrangement increasing functions and the decreasing reflection functions; those functions measure agreement between linearly ordered data. Specifically, the statistics in question are functions h(X1, X2) of two matrix arguments, each having N rows and they measure the agreement of the ordering of the N rows of the two matrices. An example is used to illustrate and motivate the discussion. One statistic in this class is applied to the example; it generalizes Wilcoxon's rank sum statistic, Spearman's rank correlation and Page's statistic for ordered alternatives.