“The Pearson diagram”的版本间差异
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The Pearson diagram, Two of its coordinates are the dimensionless indices of skewness (B1) and kurtosis( |
The Pearson diagram, Two of its coordinates are the dimensionless indices of skewness (B1,三阶矩) and kurtosis(B2，四阶矩) which uniquely characterize the form of the distribution. 参见 [http://en.wikipedia.org/wiki/Pearson_distribution] |
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*For example, uniform and normal distributions appear on the( |
*For example, uniform and normal distributions appear on the (B1,B2)diagram as the points (0, 1.8) and (0, 3). |
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*An exponential distribution on this diagram appears at point (4, 9). |
*An exponential distribution on this diagram appears at point (4, 9). |
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*A gamma distribution has the form of a straight line, shown as the dot- |
*A gamma distribution has the form of a straight line, shown as the dot-dash line, extending beyond the two last points. |
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*A log-normal distribution is the light solid line below this. |
*A log-normal distribution is the light solid line below this. |
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*The shaded part of the Pearson diagram indicates a critical zone (B1< 0 and B2<B1+ 1), where no actual distribution of the desired form can exist.Between this critical line B2= B1+ 1 and the line corresponding to gamma functions is the region of beta distributions.This consists of zones for the U-like or bi-modal, and J-like or uni-modal, distributions. |
*The shaded part of the Pearson diagram indicates a critical zone (B1< 0 and B2<B1+ 1), where no actual distribution of the desired form can exist.Between this critical line B2= B1+ 1 and the line corresponding to gamma functions is the region of beta distributions.This consists of zones for the U-like or bi-modal, and J-like or uni-modal, distributions. |
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[[文件:Pearson.jpg|Pearson diagram]] |
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2014年12月26日 (五) 02:35的最新版本
The Pearson diagram, Two of its coordinates are the dimensionless indices of skewness (B1,三阶矩) and kurtosis(B2，四阶矩) which uniquely characterize the form of the distribution. 参见 [1]
- For example, uniform and normal distributions appear on the (B1,B2)diagram as the points (0, 1.8) and (0, 3).
- An exponential distribution on this diagram appears at point (4, 9).
- A gamma distribution has the form of a straight line, shown as the dot-dash line, extending beyond the two last points.
- A log-normal distribution is the light solid line below this.
- The shaded part of the Pearson diagram indicates a critical zone (B1< 0 and B2<B1+ 1), where no actual distribution of the desired form can exist.Between this critical line B2= B1+ 1 and the line corresponding to gamma functions is the region of beta distributions.This consists of zones for the U-like or bi-modal, and J-like or uni-modal, distributions.
