Bivariate Cardioid Distributions

Document Type

Book Chapter

Publication Title

Forum for Interdisciplinary Mathematics

Abstract

Bivariate generalizations of the cardioid distribution have been constructed by the mixture method. Two types of mixtures have been considered. These mixture models allow the joint probability density functions to be represented as Fourier series easily, and this facilitates parameter estimation. A test of uniformity or isotropy of a given set of directions for one bivariate model is developed. For another bivariate model, a test of independence is derived. A data set on orientation of nests of 50 scrub birds and creek directions has also been analysed.

First Page

245

Last Page

262

DOI

10.1007/978-981-19-1044-9_13

Publication Date

1-1-2022

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