Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distances and absolute magnitudes from trigonometric parallaxes   We first review the current knowledge of Hipparcos systematic and random
errors, in particular small-scale correlations. Then, assuming Gaussian
parallax errors and using examples from the recent Hipparcos literature, we
show how random errors may be misinterpreted as systematic errors, or
transformed into systematic errors.
  Finally we summarise how to get unbiased estimates of absolute magnitudes and
distances, using either Bayesian or non-parametrical methods. These methods may
be applied to get either mean quantities or individual estimates. In
particular, we underline the notion of astrometry-based luminosity, which
avoids the truncation biases and allows a full use of Hipparcos samples.

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The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th