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.
|Journal||Journal of Physics: Conference Series|
|Publication status||Published - 2019 May 31|
|Event||3rd International Conference on Mathematics; Pure, Applied and Computation, ICoMPAC 2018 - Surabaya, Indonesia|
Duration: 2018 Oct 20 → …
ASJC Scopus subject areas
- Physics and Astronomy(all)