English

An Expansion for a Discrete Non-Lattice Distribution

Probability 2021-03-23 v1

Abstract

Much is known about asymptotic expansions for asymptotically normal distributions if these distributions are either absolutely continuous or pure lattice distributions. In this paper we begin an investigation of the discrete but non-lattice case. We tackle one of the simplest examples imaginable and find that curious phenomena occur. Clearly more work is needed.

Keywords

Cite

@article{arxiv.2103.12018,
  title  = {An Expansion for a Discrete Non-Lattice Distribution},
  author = {Friedrich Götze and Willem R. van Zwet},
  journal= {arXiv preprint arXiv:2103.12018},
  year   = {2021}
}

Comments

In memoriam Willem Rutger van Zwet who passed away on July 2, 2020. The article is part of a conference proceedings in 2006 in honor of Peter Bickel

R2 v1 2026-06-24T00:26:08.660Z