Erik Rosolowsky edited In_Table_ref_table_properties__.tex  about 8 years ago

Commit id: 1cfcab4c111ba539702608f2835bdfdff45d731e

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In Table \ref{table:properties} we summarize the quantitative analysis of the binned mass distributions. In addition to reporting the maximum likelihood parameters of the functional forms, we also report the probability of favoring the truncated power law distribution over the pure power law form. In all cases, the truncated power law form is favored by the data over both the pure power law and the Schechter function, though the margin for this is not large in the outer bins. For the truncated power law, all bins find an optimal index bounded near the maximum value of $\beta \lesssim -1$. This indicates that the data do not provide a good constraint on the overall mass distribution as is evident from the lack of linear feature in the CCDF plots. We also used the {\sc powerlaw} package capabilities to test whether log-normal, exponential, and stretched exponential distributions were better representations of the data, and find nothing clearly superior to the truncated power-law.