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A Note on the Sum of Non-Identically Distributed Doubly Truncated Normal Distributions

Statistics Theory 2021-07-30 v8 Methodology Statistics Theory

Abstract

It is proved that the sum of n independent but non-identically distributed doubly truncated Normal distributions converges in distribution to a Normal distribution. It is also shown how the result can be applied in estimating a constrained mixed effects model.

Keywords

Cite

@article{arxiv.2008.07954,
  title  = {A Note on the Sum of Non-Identically Distributed Doubly Truncated Normal Distributions},
  author = {Hao Chen and Lanshan Han and Alvin Lim},
  journal= {arXiv preprint arXiv:2008.07954},
  year   = {2021}
}
R2 v1 2026-06-23T17:56:22.027Z