Description

This package implements a James-Stein-type shrinkage estimator for the covariance matrix, with separate shrinkage for variances and correlations. The details of the method are explained in Sch\"afer and Strimmer (2005) <DOI:10.2202/1544-6115.1175> and Opgen-Rhein and Strimmer (2007) <DOI:10.2202/1544-6115.1252>. The approach is both computationally as well as statistically very efficient, it is applicable to “small n, large p” data, and always returns a positive definite and well-conditioned covariance matrix. In addition to inferring the covariance matrix the package also provides shrinkage estimators for partial correlations, partial variances, and regression coefficients. The inverse of the covariance and correlation matrix can be efficiently computed, and as well as any arbitrary power of the shrinkage correlation matrix. Furthermore, functions are available for fast singular value decomposition, for computing the pseudoinverse, and for checking the rank and positive definiteness of a matrix.

The name of the package refers to correlations and partial correlations.

Author(s)

Juliane Sch\"afer, Rainer Opgen-Rhein, Verena Zuber, Miika Ahdesm\"aki, A. Pedro Duarte Silva, and Korbinian Strimmer (https://strimmerlab.github.io/)

References

See website: https://strimmerlab.github.io/software/corpcor/

See Also

cov.shrink, invcov.shrink, powcor.shrink, pcor.shrink, fast.svd.