The Four-Year COBE Normalization and Large-Scale Structure

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We present an analysis of the four-year data from the COBE DMR experiment. We use a Karhunen-Loeve expansion of the pixel data to calculate the normalization and goodness-of-fit of a range of models of structure formation. This technique produces unbiased normalization estimates and is capable of determining the normalization of any particular model with a statistical uncertainty of 7%. We present a parameterization of the normalization and likelihood function which summarizes our results for a wide range of models. We use the COBE normalization to compute small-scale fluctuation amplitudes for a variety of models and discuss the implications of these results for theories of large-scale structure.
LaTeX, 22 pages. Uses aaspp4.sty. 18 PostScript figures included. Final version, accepted to the Astrophysical Journal. Numerous small changse have been made, but all the main results are unchanged

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