A Single Form for t-Distributions and Symmetric Beta Distributions |
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Authors: | R Willink |
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Institution: | 1. Industrial Research Limited , Lower Hutt , New Zealand r.willink@irl.cri.nz |
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Abstract: | A single parametric form is given for the symmetric distributions in the Pearson system with finite variance. In effect, these are Student's t-distributions with ν > 2 and all centered symmetric beta distributions. A different parametrization allows the inclusion of the t-distributions with ν ≤2 at the expense of symmetric beta distributions with a low shape parameter. |
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Keywords: | Beta distribution Pearson curves Pearson system Systems of distributions t-distribution |
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