The Annals of Statistics

A Generalization of Spectral Analysis with Application to Ranked Data

Persi Diaconis

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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.

Article information

Source
Ann. Statist. Volume 17, Number 3 (1989), 949-979.

Dates
First available: 12 April 2007

Permanent link to this document
http://projecteuclid.org/euclid.aos/1176347251

JSTOR
links.jstor.org

Digital Object Identifier
doi:10.1214/aos/1176347251

Mathematical Reviews number (MathSciNet)
MR1015133

Zentralblatt MATH identifier
0688.62005

Subjects
Primary: 62A05

Keywords
62-07 Spectral analysis group representations analysis of variance ranked data

Citation

Diaconis, Persi. A Generalization of Spectral Analysis with Application to Ranked Data. The Annals of Statistics 17 (1989), no. 3, 949--979. doi:10.1214/aos/1176347251. http://projecteuclid.org/euclid.aos/1176347251.


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