TY - JOUR
T1 - Quarternion gaussian integral and its application to a geometry of quarternion gaussian distributions
AU - Suzuki, Tatsuo
N1 - Publisher Copyright:
© Published under licence by IOP Publishing Ltd.
PY - 2019/5/31
Y1 - 2019/5/31
N2 - 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.
AB - 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.
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U2 - 10.1088/1742-6596/1218/1/012013
DO - 10.1088/1742-6596/1218/1/012013
M3 - Conference article
AN - SCOPUS:85067813866
SN - 1742-6588
VL - 1218
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012013
T2 - 3rd International Conference on Mathematics; Pure, Applied and Computation, ICoMPAC 2018
Y2 - 20 October 2018
ER -