Finite Dimensional Statistical Inference

Antonia Masucci (1) , O. Ryan (2) , Sheng Yang (1) , Merouane Debbah (3)

1 E3S - Supélec Sciences des Systèmes
2 CMA - Center of Mathematics for Applications [Oslo]
3 Chaire Radio Flexible - Chaire Radio Flexible Alcatel-Lucent/Supélec

In this paper, we derive the explicit series expansion of the eigenvalue distribution of various models, namely the case of non-central Wishart distributions as well as one sided correlated zero mean Wishart distributions. The tools used are borrowed from the free probability framework which have been quite successful for high dimensional statistical inference (when the size of the matrices tends to infinity), also known as free deconvolution. This contribution focuses on the finite Gaussian case and proposes algorithmic methods to compute the moments.

Domaines: Théorie de l'information et codage [math.IT]; Théorie de l'information [cs.IT]

Antonia Masucci, O. Ryan, Sheng Yang, Merouane Debbah. Finite Dimensional Statistical Inference. 2009 International Conference on Ultra Modern Telecommunications & Workshops, Oct 2009, St Petersburg, Russia. pp.1 - 6, ⟨10.1109/ICUMT.2009.5345347⟩. ⟨hal-00426658⟩