On the Fitting of Pearson Curves to Sums of Independent Random Variables
STANFORD UNIV CA DEPT OF STATISTICS
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It is shown that the distribution of a sum of independent beta random variables is often well approximated by a properly scaled beta distribution. The relationship between the type of Pearson curve which best fits a sum of independent random variables and the types of the Pearson curves which best fit the sum and random variables is also investigated. The best fitting Pearson curve for a distribution is defined here to be the unique Pearson curve with the same first four moments.
- Statistics and Probability