Corpus ID: 199442089

Random Tensors and their Normal Distributions.

  title={Random Tensors and their Normal Distributions.},
  author={Changqing Xu and Ziming Zhang},
  journal={arXiv: Statistics Theory},
The main purpose of this paper is to introduce the random tensor with normal distribution, which promotes the matrix normal distribution to a higher order case. Some basic knowledge on tensors are introduced before we focus on the random tensors whose entries follow normal distribution. The random tensor with standard normal distribution(SND) is introduced as an extension of random normal matrices. As a random multi-array deduced from an affine transformation on a SND tensor, the general normal… Expand
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