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A normal distribution for the disturbance term in regression theory

Probability 2007-09-24 v1

Abstract

In regression theory, it is stated that the disturbance term follows the normal distribution when the sample size is large. In Professor J.Johnston's words: "In view of the many factors involved, an appeal to the Central Limit Theorem would further suggest a normal distribution for u." This paper includes an elementary proof that the disturbance term follows the normal distribution when n is large.

Keywords

Cite

@article{arxiv.0709.3414,
  title  = {A normal distribution for the disturbance term in regression theory},
  author = {Mr. Lambros Iossif},
  journal= {arXiv preprint arXiv:0709.3414},
  year   = {2007}
}

Comments

4 pages

R2 v1 2026-06-21T09:20:03.699Z