Finite Dimensional Statistical Inference
Information Theory
2016-11-17 v2 math.IT
Abstract
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 correlated zero mean Wishart distributions. The tools used extend those of 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. Cases where asymptotic results fail to apply are also discussed.
Cite
@article{arxiv.0911.5515,
title = {Finite Dimensional Statistical Inference},
author = {Ø. Ryan and A. Masucci and S. Yang and M. Debbah},
journal= {arXiv preprint arXiv:0911.5515},
year = {2016}
}
Comments
14 pages, 13 figures. Submitted to IEEE Transactions on Information Theory