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math.PR2013★ 12 cited
Weak convergence of marked point processes generated by crossings of multivariate jump processes. Applications to neural network modeling
Massimiliano Tamborrino, Laura Sacerdote, Martin Jacobsen
We consider the multivariate point process determined by the crossing times of the components of a multivariate jump process through a multivariate boundary, assuming to reset each…
math.PR2007★ 27 cited
Inverse problems for regular variation of linear filters, a cancellation property for -finite measures and identification of stable laws
Martin Jacobsen, Thomas Mikosch, Jan Rosiński +1
In this paper, we consider certain -finite measures which can be interpreted as the output of a linear filter. We assume that these measures have regularly varying tails and stu…