Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effects of Sampling on Measuring Galaxy Count Probabilities   We investigate in detail the effects of sampling on our ability to accurately
reconstruct the distribution of galaxies from galaxy surveys. We use a simple
probability theory approach, Bayesian classifier theory and Bayesian transition
probabilities. We find the best Bayesian estimator for the case of low sampling
rates, and show that even in the optimal case certain higher order
characteristics of the distribution are irretrievably washed out by sparse
sampling: we illustrate this by a simple model for cluster selection. We show
that even choosing an optimal threshold, there are nonzero numbers for both
misidentified clusters and true clusters missed. The introduction of sampling
has an effect on the distribution function that is similar to convolution.
Deconvolution is possible and given in the paper, although it might become
unstable as sampling rates become low. These findings have important
consequences on planning and strategies of future galaxy surveys.

16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph