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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.PR2014★ 3 cited
Generation and Detection of Multivariate Regular Variation and Hidden Regular Variation
Bikramjit Das, Sidney Resnick
We review definitions of multivariate regular variation (MRV) and hidden regular variation (HRV) for distributions of random vectors and then summarize methods for generating model…