Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theoretical aspects of the inverse Tully-Fisher relation as a distance
  indicator: incompleteness in log(V_Max), the relevant slope, and the
  calibrator sample bias   We study the influence of the assumption behind the use of the inverse
Tully-Fisher relation: that there should be no observational cutoffs in the TF
parameter log(V_M). It is noted how lower and upper cutoffs would be seen in a
log(H_0) vs. ``normalized distance'' diagram. Analytical expressions, under the
simplifying assumption of a normal distribution and the use of the correct TF
slope, are derived for the resulting biases, especially the average bias which
log(V_M) cutoffs produce in the derived value of H_0. This bias is shown to be
relatively weak, and as such cannot explain the large differences in the
reported values of H_0 derived from direct and inverse TF relations.
  Some problems of slope and calibration are shown to be more serious. In
particular, one consequence of fitting through the calibrators either the slope
relevant for field galaxies or the steeper slope followed by calibrators is
that the derived value of the Hubble constant comes to depend on the nature of
the calibrator sample. If the calibrator sample is not representative of the
cosmic distribution of log(V_M), large errors in the derived value of H_0 are
possible. Analytical expressions are given for this error that we term the
calibrator sample bias.

27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math