English

Censoring heavy-tail count distributions for parameter estimation with an application to stable distributions

Statistics Theory 2024-09-18 v4 Statistics Theory

Abstract

A new approach based on censoring and moment criterion is introduced for parameter estimation of count distributions when the probability generating function is available even though a closed form of the probability mass function and/or finite moments do not exist.

Keywords

Cite

@article{arxiv.2212.11697,
  title  = {Censoring heavy-tail count distributions for parameter estimation with an application to stable distributions},
  author = {Antonio Di Noia and Marzia Marcheselli and Caterina Pisani and Luca Pratelli},
  journal= {arXiv preprint arXiv:2212.11697},
  year   = {2024}
}
R2 v1 2026-06-28T07:48:46.493Z