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Limit Laws for Symmetric k-Tensors of Regularly Varying Measures
Authors:Mark M Meerschaert  Hans-Peter Scheffler
Institution:Department of Mathematics, University of Nevada, Reno, f1;Fachbereich Mathematik, University of Dortmund, 44221, Dortmund, Germany, f2
Abstract:We consider the asymptotics of certain symmetric k-tensors, the vector analogue of sample moments for i.i.d. random variables. The limiting distribution is operator stable as an element of the vector space of real symmetric k-tensors.
Keywords:regularly varying measures  domains of attraction  operator stable laws  symmetric tensors
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