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On wide sense stationary processes over finite non-abelian groups
Thangarajah, PaminiZizler, Peter
Let X be a real-valued wide sense stationary process over a finite non-abelian group G. We provide results on optimal orthogonal decomposition of X into real-valued mutually orthogonal components and using this decomposition we develop a test for correlation of X over the group G. Applications of these results to the analysis of variance of the carry-over effects in the cross-over designs in clinical studies are given. Our focus will be on groups S[subscript 3], S[subscript 4], and A[subscript 4].
Mathematical modelingAlgebraSymmetric groupAlternating groupNon-abelian Fourier transformWide sense stationary processIrreducible charactersOrthogonal decomposition
Thangarajah, P., & Zizler, P. (2017). On wide sense stationary processes over finite non-abelian groups. Cogent Mathematics, 4, 1313926. http://dx.doi.org/10.1080/23311835.2017.1313926
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Attribution 4.0 International (CC BY 4.0)http://creativecommons.org/licenses/by/4.0/
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