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On the tails of Dickman-like perpetuities

Probability 2026-04-17 v1

Abstract

By using a probabilistic technique based on the exponential change of measure we find a precise tail asymptotic behavior of some perpetuities with distributions close to the Dickman distribution.

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Cite

@article{arxiv.2604.14396,
  title  = {On the tails of Dickman-like perpetuities},
  author = {Alexander Iksanov and Oleh Iksanov},
  journal= {arXiv preprint arXiv:2604.14396},
  year   = {2026}
}

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21 pages