Quarternion gaussian integral and its application to a geometry of quarternion gaussian distributions

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Abstract

We give an explicit formula of a quarternion Gaussian integral in terms of a quaternionic determinant. Then, we obtain a simple form of a probability density function of multivariate quarternion Gaussian distributions. Moreover, as an application to a geometry, we obtain the Fisher metric of quarternion Gaussian distributions by using the potential function of them.

Original languageEnglish
Article number012013
JournalJournal of Physics: Conference Series
Volume1218
Issue number1
DOIs
Publication statusPublished - 2019 May 31
Event3rd International Conference on Mathematics; Pure, Applied and Computation, ICoMPAC 2018 - Surabaya, Indonesia
Duration: 2018 Oct 20 → …

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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