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Sample Covariance Matrix for Random Vectors with Heavy Tails

✍ Scribed by Mark M. Meerschaert; Hans-Peter Scheffler


Book ID
110410294
Publisher
Springer US
Year
1999
Tongue
English
Weight
618 KB
Volume
12
Category
Article
ISSN
0894-9840

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✍ Mark M. Meerschaert; Hans-Peter Scheffler πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 147 KB

If a set of independent, identically distributed random vectors has heavy tails, so that the covariance matrix does not exist, there is no reason to expect that the sample covariance matrix conveys useful information. On the contrary, this paper shows that the eigenvalues and eigenvectors of the sam