English

A generalization of random self-decomposability

Probability 2010-09-28 v1

Abstract

The notion of random self-decomposability is generalized here. Its relation to self-decomposability, Harris infinite divisibility and its connection with a stationary first order generalized autoregressive model are presented. The notion is then extended to Z+\mathbf{Z_+}-valued distributions.

Keywords

Cite

@article{arxiv.1009.5141,
  title  = {A generalization of random self-decomposability},
  author = {S Satheesh and E Sandhya},
  journal= {arXiv preprint arXiv:1009.5141},
  year   = {2010}
}

Comments

7 pages

R2 v1 2026-06-21T16:19:16.263Z