Published in "Errors, Bias and Uncertainties in
Astronomy", Cambridge University Press, 1990.

Out of print - February 1998

For a PDF version of the article, click
here.

# BOOTSTRAP, DATA PERMUTING AND EXTREME VALUE DISTRIBUTIONS:
GETTING THE MOST OUT OF SMALL SAMPLES

### Suketu P. Bhavsar

Department of Physics and Astronomy, University of Kentucky, Lexington
KY 40506-0055, U.S.A.

**Abstract.** The use of statistical methods on samples of
astronomical data are
discussed. We discuss the application of bootstrap to estimate the
errors in measuring the two-point correlation function for galaxies
and the topology of the large-scale structure. We discuss a technique
to estimate the statistical significance of filamentary structures in
the distribution of galaxies. Extreme value statistical theory is
applied to the problem of the nature of the brightest galaxies in rich
clusters.

**Table of Contents**

- INTRODUCTION

- BOOTSTRAP

- THE STATISTICAL SIGNIFICANCE OF LARGE-SCALE
STRUCTURE
- Filaments
- Topology

- EXTREME VALUE THEORY AND BRIGHTEST GALAXIES

- REFERENCES