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On some integral representations of certain \(G\)-functions. (English) Zbl 1418.62048

Summary: This is a brief exposition of some statistical techniques utilized to obtain several useful integral equations involving \(G\)-functions.

MSC:

62E10 Characterization and structure theory of statistical distributions
62H10 Multivariate distribution of statistics
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References:

[1] Thomas, S.; George, S.; A review of Dirichlet distribution and its generalizations; J. Indian Soc. Probab. Stat.: 2004; Volume 8 ,72-91.
[2] Mathai, A.M.; Haubold, H.J.; ; Special Functions for Applied Scientists: New York, NY, USA 2008; . · Zbl 1151.33001
[3] Mathai, A.M.; ; An Introduction to Geometrical Probability: Distributional Aspects with Applications: Amsterdam, The Netherlands 1999; . · Zbl 0968.60001
[4] Thomas, S.; Mathai, A.M.; p-Content of a p-parallelotope and its connection to likelihood ratio statistic; Sankhya A: 2009; Volume 71 ,49-63. · Zbl 1192.60028
[5] Thomas, S.; Thannippara, A.; Distribution of the LR criterion Up,m,n as a marginal distribution of a generalized Dirichlet model; Statistica: 2008; Volume 68 ,375-390. · Zbl 1453.62523
[6] Thomas, S.; Thannippara, A.; Distribution of Λ-criterion for sphericity test and its connection to a generalized Dirichlet model; Commun. Stat. Simul. Comput.: 2008; Volume 37 ,1384-1394. · Zbl 1145.62046
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