Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analyzing H(z) Data using Two-point Diagnostics   Measurements of the Hubble constant H(z) are increasingly being used to test
the expansion rate predicted by various cosmological models. But the recent
application of 2-point diagnostics, such as Om(z_i,z_j) and Omh^2(z_i,z_j), has
produced considerable tension between LCDM's predictions and several
observations, with other models faring even worse. Part of this problem is
attributable to the continued mixing of truly model-independent measurements
using the cosmic-chronomter approach, and model-dependent data extracted from
BAOs. In this paper, we advance the use of 2-point diagnostics beyond their
current status, and introduce new variations, which we call Delta h(z_i,z_j),
that are more useful for model comparisons. But we restrict our analysis
exclusively to cosmic-chronometer data, which are truly model independent. Even
for these measurements, however, we confirm the conclusions drawn by earlier
workers that the data have strongly non-Gaussian uncertainties, requiring the
use of both "median" and "mean" statistical approaches. Our results reveal that
previous analyses using 2-point diagnostics greatly underestimated the errors,
thereby misinterpreting the level of tension between theoretical predictions
and H(z) data. Instead, we demonstrate that as of today, only Einstein-de
Sitter is ruled out by the 2-point diagnostics at a level of significance
exceeding ~ 3 sigma. The R_h=ct universe is slightly favoured over the
remaining models, including LCDM and Chevalier-Polarski-Linder, though all of
them (other than Einstein-de Sitter) are consistent to within 1 sigma with the
measured mean of the Delta h(z_i,z_j) diagnostics.

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The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
3
The categories of this paper are: physics
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The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph