Author

Persian Gulf University

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Preprint Jul 2026

Mens: Nonlinear shrinkage estimation in nonparanormal models for financial applications

We develop a theory of nonlinear shrinkage covariance estimation for nonparanormal (Gaussian-copula) models, in which each observed coordinate is an unknown strictly increasing transformation of a latent Gaussian vector. This model accommodates arbitrary marginal skewness and heavy marginal tails while retaining a Gaus...

H. Karamikabir, Mohammad Arashi Department of Statistics, Faculty of Intelligent Systems Engineering et al. · 0 citations

Preprint Jul 2026

Restricted nonlinear shrinkage of high-dimensional residual covariance matrices in multivariate regressions

We study estimation of the p*p residual scatter (shape) matrix in a high-dimensional multivariate linear regression, where p and n grow proportionally. When the coefficient matrix obeys a known linear restriction of rank q<d, as in multivariate analysis of variance, growth-curve models, and reduced-rank regression, the...

H. Karamikabir, Mohammad Arashi Department of Statistics, Faculty of Intelligent Systems Engineering et al. · 0 citations