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A perturbative approach to the reconstruction of the eigenvalue spectrum of a normal covariance matrix from a spherically truncated counterpart

Authors :
Filippo Palombi
Simona Toti
Palombi, F.
Toti, S.
Publication Year :
2012
Publisher :
arXiv, 2012.

Abstract

In this paper we propose a perturbative method for the reconstruction of the covariance matrix of a multinormal distribution, under the assumption that the only available information amounts to the covariance matrix of a spherically truncated counterpart of the same distribution. We expand the relevant equations up to the fourth perturbative order and discuss the analytic properties of the first few perturbative terms. We finally compare the proposed approach with an exact iterative algorithm (presented in Palombi et al. (2017)) in the hypothesis that the spherically truncated covariance matrix is estimated from samples of various sizes.<br />Comment: 39 pages, 7 figures. v2: version accepted for publication in J. Comp. Appl. Math

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....c394991d4ef88448959f0c303fbbe816
Full Text :
https://doi.org/10.48550/arxiv.1207.1256