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September, 1989 A Generalization of Spectral Analysis with Application to Ranked Data
Persi Diaconis
Ann. Statist. 17(3): 949-979 (September, 1989). DOI: 10.1214/aos/1176347251

Abstract

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 are then extended to general homogeneous spaces such as the sphere.

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Persi Diaconis. "A Generalization of Spectral Analysis with Application to Ranked Data." Ann. Statist. 17 (3) 949 - 979, September, 1989. https://doi.org/10.1214/aos/1176347251

Information

Published: September, 1989
First available in Project Euclid: 12 April 2007

zbMATH: 0688.62005
MathSciNet: MR1015133
Digital Object Identifier: 10.1214/aos/1176347251

Subjects:
Primary: 62A05

Rights: Copyright © 1989 Institute of Mathematical Statistics

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Vol.17 • No. 3 • September, 1989
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