For many astronomers, statistics is an integral part of our analysis procedure; yet, we typically get very little formal training in this area. Recently, several astro-statistics papers have been posted on astro-ph that specifically address some of the unique attributes of astronomical data (small numbers of data points, frequent systematic errors or outliers, non-linear models, heteroskedastic error bars and limits, etc.). I would like to round up these and other similar astro-stats papers and post them as a collection on the wiki. Do you know of additional astro-stats papers to include in this collection?
- Error Estimation in Astronomy: a Guide, Andrae’ (arXiv:1009.2755)
- critical look at a common practice of rescaling error bars to get reduced chi-squared=1.
- very good description of the different methods for defining confidence intervals
- describes the basics of both frequentist and bayesian approaches
Note: There are some excellent books for purchase on astro-statistics; but here I am collecting papers that are available via astro-ph or in journals that most institutions have access to.