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math.PR2014★ 1 cited
Tauberian Theory for Multivariate Regularly Varying Distributions with Application to Preferential Attachment Networks
Sidney Resnick, Gennady Samorodnitsky
Abel-Tauberian theorems relate power law behavior of distributions and their transforms. We formulate and prove a multivariate version for non-standard regularly varying measures o…
math.PR2013
Hidden regular variation of moving average processes with heavy-tailed innovations
Sideny I. Resnick, Joyjit Roy
We look at joint regular variation properties of MA() processes of the form where and the seq…