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Expectations for the Difference Between Local and Global Measurements of the Hubble Constant
There are irreducible differences between the Hubble constant measured
locally and the global value. They are due to density perturbations and finite
sample volume (cosmic variance) and finite number of objects in the sample
(sampling variance). We quantify these differences for a suite of
COBE-normalized CDM models that are consistent with the observed large-scale
structure. For small samples of objects that only extend out to 10,000 km/sec,
the variance can approach 4%. For the largest samples of Type Ia supernovae
(SNeIa), which include about 40 objects and extend out to almost 40,000 km/sec,
the variance is 1-2% and is dominated by sampling variance. Sampling and cosmic
variance may be an important consideration in comparing local determinations of
the Hubble constant with precision determinations of the global value that will
be made from high-resolution maps of CBR anisotropy.Comment: 10 pages, Latex, 2 figures, version accepted for Ap.
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