Symmetric and Asymmetric Axial and Directional Models and Bivariate Extensions Thereof

Arnold B. C., SenGupta A.

in: Industrial and Applied Mathematics, Springer, pp.221-237, 2026 identifier

  • Publication Type: Book Chapter / Chapter Research Book
  • Publication Date: 2026
  • Doi Number: 10.1007/978-981-96-9435-8_13
  • Publisher: Springer
  • Page Numbers: pp.221-237
  • Keywords: Additive components, Cardioid, Conditional specification, Mixture, von Mises, Wrapped Cauchy
  • Middle East Technical University Affiliated: No

Abstract

Some well-known and not so well-known circular and axial models are reviewed. Attention is paid to the necessary modifications to adapt to frequently encountered asymmetric. The development of bivariate extensions of the models, which are needed to analyze dependent variables, is discussed in some detail. Special attention is paid to the models involving mixtures of bivariate models with independent coordinate variables.