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- W4313447419 abstract "We investigate block diagonal and hierarchical nested stochastic multivariate Gaussian models by studying their sample cross-correlation matrix on high dimensions. By performing numerical simulations, we compare a filtered sample cross-correlation with the population cross-correlation matrices by using several rotationally invariant estimators (RIE) and hierarchical clustering estimators (HCE) under several loss functions. We show that at large but finite sample size, sample cross-correlation filtered by RIE estimators are often outperformed by HCE estimators for several of the loss functions. We also show that for block models and for hierarchically nested block models the best determination of the filtered sample cross-correlation is achieved by introducing two-step estimators combining state-of-the-art non-linear shrinkage models with hierarchical clustering estimators." @default.
- W4313447419 created "2023-01-06" @default.
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- W4313447419 date "2022-12-30" @default.
- W4313447419 modified "2023-10-13" @default.
- W4313447419 title "Two-step estimators of high dimensional correlation matrices" @default.
- W4313447419 doi "https://doi.org/10.48550/arxiv.2212.14650" @default.
- W4313447419 hasPublicationYear "2022" @default.
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