Beware -truncation! Sample truncation and bias in luminosity calibration using trigonometric parallaxes

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...

Correcting Publication Bias In Meta-Analysis: A Truncation Approach

Theoretical distribution of truncation lengths in incremental truncation libraries.

Incremental truncation is a method for constructing libraries of every one base pair truncation of a segment of DNA. Incremental truncation libraries can be created using a time-dependent nuclease method or through the incorporation of alpha-phosphothioate dNTPs by PCR or by primer extension (THIO(pcr) truncation and THIO(extension) truncation, respectively). Libraries created by the fusion of ...

Truncation exercises

One of the most basic tools in the theory of automorphic forms is the truncation operator, first defined in [Langlands: 1966] but elaborated in later work of Jim Arthur (particularly [Arthur: 1978] and [Arthur: 1980]). In spite of its fundamental nature, there are many mysteries about it. In this article I’ll not dispel many of these, but I’ll at least motivate its definition by relating it to ...

Truncation in Hahn Fields

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...