Journals / İstatistik. Türk İstatistik Derneği Dergisi / 2016 / Cilt: 9 - Sayı: 1

GENERALISED MATRICVARIATE T—DISTRIBUTION

Pages
1–16
Publication Date
2022-10-19
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Further results related with these distributions are also derived

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The so called matricvariate T-Riesz and beta-Riesz type II distributions, for real normed division algebras, are obtained in this paper with respect to the Lebesgue measure.
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Key Findings & Data:The addressed generalised matricvariate distributions are based on Kotz—Riesz type and II distributions and their corresponding independent Riesz distributions.
💡
Conclusion & Impact:Further results related with these distributions are also derived
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The so called matricvariate T-Riesz and beta-Riesz type II distributions, for real normed division algebras, are obtained in this paper with respect to the Lebesgue measure. The addressed generalised matricvariate distributions are based on Kotz—Riesz type and II distributions and their corresponding independent Riesz distributions. Further results related with these distributions are also derived

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Cite This Article

DİAZ-GARCİA, J. A., GUTİERREZ--SANCHEZ, R. (2022). GENERALISED MATRICVARIATE T—DISTRIBUTION. İstatistik. Türk İstatistik Derneği Dergisi, Cilt: 9 - Sayı: 1, 1–16. https://ajindex.com/articles/555722

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References (17)

  1. Baez, J. C. (2002). The octonions, Bulletin of the American Mathematical Society, 39, 145—205
  2. Boutouria, 1., and Hassairi, A. (2009). Riesz exponential families on homogeneous cones. http //arxiv. org/abs/0906. 1892. Also submitted
  3. Casalis, M., and Letac, G. (1996). The Lukacs—Olkin—Rubin characterization of Wishart distributions on symmetric cones. Annals of Statistics, 24, 763—786
  4. Diaz-Garcia, J. A. (2015a) Distributions on symmetric cones I: Riesz distribution.
  5. Diaz-Garcia, J. A. (2015b). Distributions on symmetric cones II: BetarRiesz distributions, Cornell University Library, http:/ arxiv.org/ abs/ 1301.4525v2. Also submmited
  6. Diaz—Garcia, J. A. (2015c) generalised Kotz type distribution and Riesz distribution, Cornell University Library, http: //arxiv org/abs/ 1304 5292v2. Also submmited
  7. Diaz—Garcia, J. A. and Caro-Lopera, F. J. (2015). Generalised matricvariate Pearson type II— distribution, Cornell University Library, http:// arxiv.org/abs/ 1407.4551v2. Also submmited
  8. Diaz-Garcia, J. A., and Gutierrez-Jaimez, R. (2011). On Wishart distribution: Some extensions, Linear Algebra and its Applications, 435, 1296-1310
  9. Diaz-Garcia, J. A., and Gutiérrez—Jaimez, R. (2012). Matricvariate and matrix multivariate distributions and associated distributions, Metrika, 75, 7, 963-976
  10. Diaz-Garcia, J. A., and Gutiérrez—Jéimez, R. (2013). Spherical ensembles, Linear Algebra and its Applications, 438, 3174 3201
  11. Dickey, J. M. (1967). Matricvariate generalizations of the multivariate t- distribution and the inverted multivariate t-distribution, Annals of Mathematical Statistics, 38, 511-518
  12. Edelman, A., and Rao, R. R. (2005). Random matrix theory, Acta Numerica, 14, 233—297
  13. Fang, K. T., and Li, R. (1999). Bayesian statistical inference on elliptical matrix distributions, Journal of Multivariate Analysis, 70, 66-85
  14. Fang, K. T., and Zhang, Y. T. (1990). Generalized Multivariate Analysis, Springer-Verlang, Beijing
  15. Forrester, P. J. (2005). Log-gases and random matrices, http //www.ms.unimelb edu. au/"matpjf/matpjf.html, to appear
  16. Faraut,., and Koranyi, A. (1994). Analysis on symmetric cones. Oxford Mathematical Monographs, Clarendon Press, Oxford
  17. Gross, K. I., and Richards, D. St. P. (1987). Special functions of matrix argument 1: Algebraic induction zonal polynomials and hypergeometric functions, Transactions of the American Mathematical Society,