English

Can we define a best estimator in simple 1-D cases ?

Data Analysis, Statistics and Probability 2014-08-12 v2 Methodology

Abstract

With a small number of measurements, the three most well known estimators of a single parameter give very different results when estimating a scale parameter. A transformation of this scale parameter to a location parameter by using logarithms of the data rends the three estimators equivalent in the absence of any a priori information.

Cite

@article{arxiv.1212.4307,
  title  = {Can we define a best estimator in simple 1-D cases ?},
  author = {Eric Lantz and Francois Vernotte},
  journal= {arXiv preprint arXiv:1212.4307},
  year   = {2014}
}

Comments

8 pages, 1 figure

R2 v1 2026-06-21T22:56:30.152Z