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Articles

On distributions of covariance structures

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Pages 7370-7384 | Received 09 Mar 2021, Accepted 16 Feb 2022, Published online: 28 Feb 2022

References

  • Craig, A. T. 1947. Bilinear forms in normally correlated variables. The Annals of Mathematical Statistics 18 (4):565–73. doi:10.1214/aoms/1177730347.
  • Kajima, Y. 2020. Summation of certain locally bilinear forms and its applications to the Fast Multipole method. Computational Physics, arXiv:2009.00767. https://arxiv.org/abs/2009.00767.
  • Mathai, A. M. 1993a. On non-central generalized Laplacianness of quadratic forms in normal variables. Journal of Multivariate Analysis 45 (2):239–46. doi:10.1006/jmva.1993.1036.
  • Mathai, A. M. 1993b. The residual effect of growth-decay mechanism and the distributions of covariance structure. Canadian Journal of Statistics 21 (3):277–83. doi:10.2307/3315753.
  • Mathai, A. M. 1997. Jacobians of matrix transformations and functions of matrix argument. New York: World Scientific Publishing.
  • Mathai, A. M. 2005. A pathway to matrix-variate gamma and normal densities. Linear Algebra and Its Applications 396:317–28. doi:10.1016/j.laa.2004.09.022.
  • Mathai, A. M. 2019. Multivariate analysis and special functions, Lecture notes in multivariate analysis. Peechi: Centre for Mathematical and Statistical Sciences.
  • Mathai, A. M., and H. J. Haubold. 2017. An introduction to fractional calculus. New York: NOVA Science Publishers.
  • Mathai, A. M., S. B. Provost, and T. Hayakawa. 1995. Bilinear forms and zonal polynomials. Springer lecture notes in statistics. New York: Springer.
  • Mathai, A. M., and S. B. Provst. 1992. Quadratic forms in random variables: Theory and applications. New York: Marcel Dekker.
  • Mathai, A. M., and P. N. Rathie. 1971. Exact distribution of Wilks’ criterion. The Annals of Mathematical Statistics 42 (3):1010–9. doi:10.1214/aoms/1177693329.
  • Schmidt, K. U. 2015. Symmetric bilinear forms over finite fields with applications to coding theory. Journal of Algebraic Combinatorics 42 (2):635–70. doi:10.1007/s10801-015-0595-0.

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