Complex Multiplication Model for Circular Regression

Xiaoping Zhan, Tiefeng Ma, Shuangzhe Liu

Research output: A Conference proceeding or a Chapter in BookChapterpeer-review


In this chapter, we treat circular data as unit complex numbers and model their correlation by multiplying them in the complex plane. We propose a general complex multiplication framework for circular regression. The proposed framework is very flexible in the sense that several different models can be included as special cases. Based on the linear relationship, a linear complex multiplication model is introduced and discussed in detail. Our estimation and inference results are presented together with a simulation study and two real data examples and are compared with those of two existing methods.

Original languageEnglish
Title of host publicationForum for Interdisciplinary Mathematics
EditorsAshis SenGupta, Barry C. Arnold
Place of PublicationSingapore
PublisherSpringer - Adis
Number of pages18
ISBN (Electronic)9789811910449
ISBN (Print)9789811910432
Publication statusPublished - 2022

Publication series

NameForum for Interdisciplinary Mathematics
ISSN (Print)2364-6748
ISSN (Electronic)2364-6756


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