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Cited by 109

The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.

A solution to the multivariate behrens-fisher problem

Nel, D.G., Van Der Merwe, C.A.·1986·Communications in Statistics - Theory and Methods
DOI 10.1080/03610928608829342
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Abstract

Some new algebra on pattern and transition matrices is used to determine the degrees of freedom and the parameter matrix, if the distribution of a linear sum of Wishart matrices is approximated by a single Wishart distribution. This approximation is then used to find a solution to the multivariate Behrens-Fisher problem similar to the Welch (1947) solution in the univariate case.

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Citations

Cites

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Research works printed but not linked: 20

  1. Anderson T.W., 1958, An introduction to Multivariate Statististical Analysis
  2. Archbold J.W., 1958, Algebra
  3. Bellman R., 1970, Introduction to matrix analysis
  4. Browne M.W., 1974, S. Afr. Statist. J, 8, 1
  5. Chikuse Y., 1980, Multivariate Statistical Analysis, 53
  6. 10.1007/BF02480302 · doi:10.1007/bf02480302
  7. Davis A.W., 1980, Multivariate Analysis, 287
  8. 10.1007/BF02480943 · doi:10.1007/bf02480943
  9. Davis A.W., 1985, Personal communication
  10. Johnson R.A., Applied multivariate statistical analysis
  11. Nel D.G., S.A. Statist. J, 12, 145
  12. Nel D.G., 1980, S. Afr. Statist. J, 14, 137
  13. Nel D.G., 1981, On patterned matrices and their applications in multivariate statistics
  14. 10.1016/0024-3795(85)90191-0 · doi:10.1016/0024-3795(85)90191-0
  15. 10.1214/aoms/1177728601 · doi:10.1214/aoms/1177728601
  16. 10.1214/aoms/1177730252 · doi:10.1214/aoms/1177730252
  17. 10.1080/03610928308828625 · DOI
  18. Van Der Merwe C.A., 1985, On the distribution of a linear sum of Wishart matrices and related matric-t variates
  19. Welch B.L., 1947, Biometrika, 34, 28
  20. 10.1016/0024-3795(85)90199-5 · doi:10.1016/0024-3795(85)90199-5

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Metadata

Authors
Nel, D. G., & Van Der Merwe, C. A.
Venue
Communications in Statistics - Theory and Methods
Publisher
Informa UK Limited
Published
1986-01
Volume
15
Issue
12
Pages
3719-3735
ISSN
  • 0361-0926
  • 1532-415X
DOI
10.1080/03610928608829342
Cited by
109
References
1
Language
en

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CoChat. (2026). Citation check: A solution to the multivariate behrens-fisher problem. https://app.cochat.ai/papers/10.1080/03610928608829342
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Nel, D. G., & Van Der Merwe, C. A. (1986). A solution to the multivariate behrens-fisher problem. Communications in Statistics - Theory and Methods. https://doi.org/10.1080/03610928608829342

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.