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The errors were assumed to follow a joint Gaussian distribution and the correlation matrix was estimated by the recursive statistic estimation.
Furthermore, the percentage of the perovskite NCs in MOF matrix was estimated by XRF (only ~3%, Supplementary Table 1) and XPS analysis (~19%, Supplementary Table 2).
From the chemical compositions, the content of amorphous matrix was estimated to be up to 57%.
The residual Cr content of the matrix was estimated, to determine its influence on the thermal properties of the matrix.
From histogram diagrams the average particle size of M-silica in PVP matrix was estimated 30 40 nm.
The iron oxide mean particle size inside the scaffold matrix was estimated to be in the range of 10 40 nm by particle size analyzer and transmission electron microscopy.
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The inverse of the covariance matrix is estimated via the shrinkage estimator [ 96- 99].
We propose a modified QIF method, in which the optimal weighting matrix is estimated by a linear shrinkage estimator, replacing the sample covariance matrix.
The asymptotic variance matrix is estimated with the usual "sandwich" estimator [ 8].
Therefore, an asymptotic covariance matrix is estimated by means of the robust sandwich estimator proposed by Mullahy ([2010]).
Then, the dynamic covariance matrix is estimated by the cross-covariance matrices.
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