Spectral analysis for discrete longitudinal data

Laurel A Beckett, Persi Diaconis

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We develop a Fourier type of analysis for data consisting of many short strings X1, X2, …, Xn, with Xi = (Xi1, …, Xip). The paper offers an approach testing and residual analysis based on a group theoretic decomposition of the sample space. This is illustrated on a physical chance type data set where it is natural to allow each string to have its own parameter (i.i.d. coin-tossing with parameter varying from string to string). The usual model is rejected.

Original languageEnglish (US)
Pages (from-to)107-128
Number of pages22
JournalAdvances in Mathematics
Volume103
Issue number1
DOIs
StatePublished - Jan 1 1994
Externally publishedYes

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Discrete Data
Longitudinal Data
Spectral Analysis
Strings
Coin tossing
Residual Analysis
Sample space
Decompose
Testing
Model

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Spectral analysis for discrete longitudinal data. / Beckett, Laurel A; Diaconis, Persi.

In: Advances in Mathematics, Vol. 103, No. 1, 01.01.1994, p. 107-128.

Research output: Contribution to journalArticle

Beckett, Laurel A ; Diaconis, Persi. / Spectral analysis for discrete longitudinal data. In: Advances in Mathematics. 1994 ; Vol. 103, No. 1. pp. 107-128.
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