English

Sigma One

Instrumentation and Methods for Astrophysics 2015-05-18 v1 Mathematical Physics math.MP

Abstract

We demonstrate that it is possible to calculate not only the mean of an underlying population but also its dispersion, given only a single observation and physically reasonable constraints (i.e., that the quantities under consideration are non-negative and bounded). We suggest that this counter-intuitive conclusion is in fact at the heart of most modeling of astronomical data.

Cite

@article{arxiv.1004.0448,
  title  = {Sigma One},
  author = {Barry F. Madore},
  journal= {arXiv preprint arXiv:1004.0448},
  year   = {2015}
}

Comments

Accepted to the Astronomical Journal. 13 pages, 4 figures

R2 v1 2026-06-21T15:06:08.142Z