✦ LIBER ✦

Spectral Analysis for Discrete Longitudinal Data

✍ Scribed by L. Beckett; P. Diaconis

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 785 KB
Volume: 103
Category: Article
ISSN: 0001-8708
DOI: 10.1006/aima.1994.1002

No coin nor oath required. For personal study only.

✦ Synopsis

We develop a Fourier type analysis for data consisting of many short strings (X_{1}, X_{2}, \ldots, X_{n}), with (X_{i}=\left(X_{i 1}, \ldots, X_{i p}\right)). The paper offers an approach to 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. 1994 Academic Press, Inc.

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