Original Research
Statistical analysis based on quaternion normal random variables
Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie | Vol 4, No 3 | a1042 |
DOI: https://doi.org/10.4102/satnt.v4i3.1042
| © 1985 H. M. Rautenbach, J. J. J. Roux
| This work is licensed under CC Attribution 4.0
Submitted: 18 March 1985 | Published: 18 March 1985
Submitted: 18 March 1985 | Published: 18 March 1985
About the author(s)
H. M. Rautenbach,, South AfricaJ. J. J. Roux,, South Africa
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The quaternion normal distribution is derived and a number of characteristics are highlighted. The maximum likelihood estimation procedure in the quaternion case is examined and the conclusion is reached that the estimation procedure is simplified if the unknown parameters of the associated real probability density function are estimated. The quaternion estimator is then obtained by regarding these estimators as the components of the quaternion estimator. By means of a example attention is given to a test criterium which can be used in the quaternion model.
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Crossref Citations
1. Integral Representation of Quaternion Elliptical Density and its Applications
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