Reviving Pseudo-Inverses for Large Dimensional Portfolio Selection
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Series
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SpeakerNestor Parolya (TU Delft)
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FieldEconometrics, Data Science and Econometrics
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LocationErasmus University Rotterdam, Campus Woudestein, ET-14
Rotterdam -
Date and time
March 12, 2026
12:00 - 13:00
Abstract
In this talk, we discuss high-dimensional asymptotic properties of the Moore-Penrose inverse and, as a byproduct, of various ridge-type inverses of the sample covariance matrix. In particular, the analytical expressions of the asymptotic behavior of the weighted sample trace moments of generalized inverse matrices are deduced in terms of the partial exponential Bell polynomials which can be easily computed in practice. The asymptotic results are obtained without assumption of normality and in the high-dimensional asymptotic regime. Our findings provide universal methodology for construction of fully data-driven improved shrinkage estimators of the precision matrix and optimal portfolio weights.