TY - JOUR
ID - 13825
TI - Some Theoretical Results on the Tensor Elliptical Distribution
JO - Journal of Data Science and Modeling
JA - JDSM
LA - en
SN - 2676-5926
AU - Arashi, Mohammad
AD - Department of Statistics, Faculty of Mathematical Sciences, Shahrood University of Technology
Y1 - 2023
PY - 2023
VL - 1
IS - 2
SP - 29
EP - 41
KW - Characteristic generator
KW - Inverse Laplace transform
KW - Stochastic representation
KW - Tensor
KW - Vectorial operator
DO - 10.22054/jcsm.2021.47404.1019
N2 - The multilinear normal distribution is a widely used tool in the tensor analysis of magnetic resonance imaging (MRI). Diffusion tensor MRI provides a statistical estimate of a symmetric 2nd-order diffusion tensor for each voxel within an imaging volume. In this article, tensor elliptical (TE) distribution is introduced as an extension to the multilinear normal (MLN) distribution. Some properties, including the characteristic function and distribution of affine transformations are given. An integral representation connecting densities of TE and MLN distributions is exhibited that is used in deriving the expectation of any measurable function of a TE variate.
UR - https://jdscm.atu.ac.ir/article_13825.html
L1 - https://jdscm.atu.ac.ir/article_13825_635fc109d72da36f83fa2e611ec664b2.pdf
ER -