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Jacobians of certain transformations of singular matrices

José A. Díaz-García, Ramón Gutiérrez-Jáimez (2009)

Applicationes Mathematicae

In this study various Jacobians of transformations of singular random matrices are found. An alternative proof of Uhlig's first conjecture (Uhlig (1994)) is proposed. Furthermore, we propose various extensions of this conjecture under different singularities. Finally, an application of the theory of singular distributions is discussed.

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