Beware -truncation! Sample truncation and bias in luminosity calibration using trigonometric parallaxes
نویسندگان
چکیده
منابع مشابه
The Lutz-Kelker bias in trigonometric parallaxes
The theoretical prediction that trigonometric parallaxes suffer from a statistical effect, has become topical again now that the results of the Hipparcos satellite have become available. This statistical effect, the so-called Lutz-Kelker bias, causes measured parallaxes to be too large. This has the implication that inferred distances, and hence inferred luminosities are too small. Published an...
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Given such a series a = ∑ γ aγt γ ∈ K and α ∈ Γ we can truncate the series at t to give the series a|α := ∑ γ<α aγt γ ∈ K. We call a|α a truncation of a; if in addition a 6= a|α (equivalently, α 6 β for some β ∈ supp a), then a|α is said to be a proper truncation of a. Thus all truncations of a are proper iff supp a is cofinal in Γ. The only proper truncation of ct with nonzero c ∈ k is 0. A su...
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ژورنال
عنوان ژورنال: Monthly Notices of the Royal Astronomical Society
سال: 2006
ISSN: 0035-8711,1365-2966
DOI: 10.1111/j.1365-2966.2005.09694.x