SPEARMANS FOOTRULE AS A MEASURE OF DISARRAY
SPEARMANS FOOTRULE AS A MEASURE OF DISARRAY
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DOI：
10.1111/j.2517-6161.1977.tb01624.x
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发表时间：
1977-01-01
期刊：
影响因子：
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通讯作者：
GRAHAM, RL
中科院分区：
文献类型：
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作者：
DIACONIS, P;GRAHAM, RL
斯皮尔曼的混乱度D是等级之间的差异的绝对值之和。我们把D当作置换集上的度量。建立了极限均值、极限方差和极限正态性，证明了D与由Kendall τ产生的度量I通过组合不等式I ≤D≤ 2I相联系.
Spearman's measure of disarrayDis the sum of the absolute values of the difference between the ranks. We treatDas a metric on the set of permutations. The limiting mean, variance and normality are established.Dis shown to be related to the metricIarising from Kendall's τ through the combinatorial inequalityI≤D≤ 2I.