Sigma One

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2010-04-03

arxiv.org/abs/1004.0448v1

Astronomy and Astrophysics

Astrophysics

Instrumentation and Methods for Astrophysics

Accepted to the Astronomical Journal. 13 pages, 4 figures

Scientific paper

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.

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