On wide sense stationary processes over finite non-abelian groups

Cogent Mathematics

Pamini Thangarajah¹  Peter Zizler¹ 

[1] Mount Royal University;

关键词: symmetric group;    alternating group;    non-abelian Fourier transform;    wide sense stationary process;    irreducible characters;    orthogonal decomposition;   

DOI  :  10.1080/23311835.2017.1313926

来源: DOAJ

【 摘 要 】

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_3,\, S_4 $, and $ A_4 $.

【 授权许可】

Unknown