We present some new results on the joint distribution of an arbitrary subset of the ordered eigenvalues of complex Wishart, double Wishart, and Gaussian hermitian random matrices of finite dimensions, using a tensor pseudo-determinant operator. Specifically, we derive compact expressions for the joint probability distribution function of the eigenvalues and the expectation of functions of the eigenvalues, including joint moments, for the case of both ordered and unordered eigenvalues.
On the distribution of an arbitrary subset of the eigenvalues for some finite dimensional random matrices / Chiani M.; Zanella A.. - In: RANDOM MATRICES: THEORY AND APPLICATIONS. - ISSN 2010-3263. - ELETTRONICO. - 9:1(2020), pp. 2040004.1-2040004.25. [10.1142/S2010326320400043]
On the distribution of an arbitrary subset of the eigenvalues for some finite dimensional random matrices
Chiani M.;
2020
Abstract
We present some new results on the joint distribution of an arbitrary subset of the ordered eigenvalues of complex Wishart, double Wishart, and Gaussian hermitian random matrices of finite dimensions, using a tensor pseudo-determinant operator. Specifically, we derive compact expressions for the joint probability distribution function of the eigenvalues and the expectation of functions of the eigenvalues, including joint moments, for the case of both ordered and unordered eigenvalues.| File | Dimensione | Formato | |
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