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Large deviations for truncated heavy-tailed random variables: a boundary case

Probability 2017-03-21 v2

Abstract

This paper investigates the decay rate of the probability that the row sum of a triangular array of truncated heavy tailed random variables is larger than an integer (k) times the truncating threshold, as both - the number of summands and the threshold go to infinity. The method of attack for this problem is significantly different from the one where k is not an integer, and requires much sharper estimates.

Keywords

Cite

@article{arxiv.1107.2736,
  title  = {Large deviations for truncated heavy-tailed random variables: a boundary case},
  author = {Arijit Chakrabarty},
  journal= {arXiv preprint arXiv:1107.2736},
  year   = {2017}
}

Comments

To appear in the Indian Journal of Pure and Applied Mathematics, special issue in honour of 70th birthday of B. V. Rao

R2 v1 2026-06-21T18:36:33.880Z