On wide sense stationary processes over finite non-abelian groups

Thangarajah, Pamini; Zizler, Peter

doi:10.1080/23311835.2017.1313926

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On wide sense stationary processes over finite non-abelian groups

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Thangarajah, P., & Zizler, P. (2017). On wide sense stationary processes over finite non-abelian groups. Cogent Mathematics, 4. doi:10.1080/23311835.2017.1313926

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Title: On wide sense stationary processes over finite non-abelian groups
Contributor(s): Thangarajah, Pamini
Zizler, Peter
Description: 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].
Date Issued: 2017
Type: article
Subject(s): Mathematical modeling
Algebra
Symmetric group
Alternating group
Non-abelian Fourier transform
Wide sense stationary process
Irreducible characters
Orthogonal decomposition
Journal/Source Title: Cogent Mathematics
Volume: 4
Original/Source DOI: 10.1080/23311835.2017.1313926
URI: http://dx.doi.org/10.1080/23311835.2017.1313926
Other Source Information: 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
Sponsorship: Funds for covering the costs to publish in open access were provided by Mount Royal University Library.
Library OA Fund
Copyright: Attribution 4.0 International (CC BY 4.0)
http://creativecommons.org/licenses/by/4.0/
Appears in Collection(s): Science and Technology