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Communications in Statistics - Theory and Methods Volume 40, 2011 - Issue 23
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Original Articles

Bimatrix Variate Beta Type IV Distribution: Relation to Wilks's Statistic and Bimatrix Variate Kummer-Beta Type IV Distribution

A. Bekker Department of Statistics, University of Pretoria, Pretoria, South AfricaCorrespondence[email protected]
,
J. J. J. Roux Department of Statistics, University of Pretoria, Pretoria, South Africa
,
R. Ehlers Department of Statistics, University of Pretoria, Pretoria, South Africa
&
M. Arashi Faculty of Mathematics, Shahrood University of Technology, Shahrood, Iran
Pages 4165-4178 | Received 22 Sep 2009, Accepted 09 Jul 2010, Published online: 03 Nov 2011

Citations (13)

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Read on this site (2)

D. K. Nagar, M. Arashi & S. Nadarajah. (2017) Bimatrix variate gamma-beta distributions. Communications in Statistics - Theory and Methods 46:9, pages 4464-4483.
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R. Jacobs, A. Bekker & S.W. Human. (2012) On the Bivariate Kummer-Beta Type IV Distribution. Communications in Statistics - Theory and Methods 41:18, pages 3339-3354.
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Articles from other publishers (11)

Maryam Rafiei, Daya K. Nagar, Anis Iranmanesh, Saralees Nadarajah & Shou Shih. (2022) A bimatrix variate gamma distribution. Results in Applied Mathematics 15, pages 100284.
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José A. Díaz-García, Francisco J. Caro-Lopera & Fredy O. Pérez Ramírez. (2020) Multivector Variate Distributions. Sankhya A 84:2, pages 534-555.
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José A. Díaz-García & Francisco J. Caro-Lopera. (2022) Multimatricvariate distribution under elliptical models. Journal of Statistical Planning and Inference 216, pages 109-117.
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Daya K. Nagar, Alejandro Roldán-Correa & Arjun K. Gupta. (2021) Bimatrix variate Kummer-gamma distribution. Results in Applied Mathematics 11, pages 100161.
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Daya K. Nagar, Sergio Alexander Gómez-Noguera & Arjun K. Gupta. (2016) Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications. Ingeniería y Ciencia 12:24, pages 51-82.
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Daya K. Nagar, Raúl Alejandro Morán-Vásquez & Arjun K. Gupta. (2015) Extended Matrix Variate Hypergeometric Functions and Matrix Variate Distributions. International Journal of Mathematics and Mathematical Sciences 2015, pages 1-15.
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Johanna Marcela Orozco-Castañeda, Daya K. Nagar & Arjun K. Gupta. (2012) Generalized bivariate beta distributions involving Appell’s hypergeometric function of the second kind. Computers & Mathematics with Applications 64:8, pages 2507-2519.
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A. Bekker, J.J.J. Roux, R. Ehlers & M. Arashi. (2012) Distribution of the product of determinants of noncentral bimatrix beta variates. Journal of Multivariate Analysis 109, pages 73-87.
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A. Bekker, J.J.J. Roux & M. Arashi. (2011) Wishart ratios with dependent structure: New members of the bimatrix beta type IV. Linear Algebra and its Applications 435:12, pages 3243-3260.
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M. Arashi, Daya K. Nagar & Z. Farshidian Far. (2011) Properties of the complex bimatrix variate beta distribution. Linear Algebra and its Applications 434:9, pages 2018-2029.
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A. Bekker, J.J.J. Roux & M. Arashi. (2011) Exact nonnull distribution of Wilks’ statistic: The ratio and product of independent components. Journal of Multivariate Analysis 102:3, pages 619-628.
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