Corpus ID: 88516423

A Schur transform for spatial stochastic processes

  title={A Schur transform for spatial stochastic processes},
  author={J. Mathews},
  journal={arXiv: Statistics Theory},
  • J. Mathews
  • Published 2018
  • Mathematics
  • arXiv: Statistics Theory
  • The variance, higher order moments, covariance, and joint moments or cumulants are shown to be special cases of a certain tensor in $V^{\otimes n}$ defined in terms of a collection $X_1,...,X_n$ of $V$-valued random variables, for an appropriate finite-dimensional real vector space $V$. A statistical transform is proposed from such collections--finite spatial stochastic processes--to numerical tuples using the Schur-Weyl decomposition of $V^{\otimes n}$. It is analogous to the Fourier transform… CONTINUE READING

    Figures and Tables from this paper


    Tensor Methods in Statistics
    • 752
    • PDF
    The classical groups : their invariants and representations
    • 1,757
    • PDF
    A framework for evaluation of deformable image registration spatial accuracy using large landmark point sets.
    • 432
    All of statistics
    • 634
    Invariant theory and superalgebras
    • 105
    Symmetries of Tensors
    • 2
    Representation theory, volume 129 of Graduate Texts in Mathematics
    • 1991
    A Graduate Course in Probability
    • 37
    Über die rationalen Darstellungen der allgemeinen linearen Gruppe
    • 133
    Ueber eine Klasse von Matrizen, die sich einer gegebenen Matrix zuordnen lassen
    • 157