A Generalization of Spectral Analysis with Application to Ranked Data
A Generalization of Spectral Analysis with Application to Ranked Data
复制标题
谱分析的推广及其在排序数据中的应用
DOI：
10.1214/aos/1176347251
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发表时间：
1989
影响因子：
4.5
通讯作者：
P. Diaconis
中科院分区：
文献类型：
--
作者：
P. Diaconis
对一般空间中的数据，提出了一种类似于时间序列谱分析的方法。这适用于5738人对5名候选人进行排序的选举数据。群论的考虑提供了一种像分解一样的方差分析，这似乎是自然而富有成效的。建议使用多种推理工具。谱的概念随后扩展到一般的齐次空间，如球面。
An analog of the spectral analysis of time series is developed for data in general spaces. This is applied to data from an election in which 5738 people rank ordered five candidates. Group theoretic considerations offer an analysis of variance like decomposition which seems natural and fruitful. A variety of inferential tools are suggested. The spectral ideas afe then extended to general homogeneous spaces such as the sphere.