“The Pearson diagram”的版本间差异
跳到导航
跳到搜索
（以“The Pearson diagram, figure 23, requires someexplanation. Two of its coordinates are the dimensionless indices of skewness1and kurtosis2which uniquely characterize t...”为内容创建页面） |
无编辑摘要 |
||
| （未显示同一用户的3个中间版本） | |||
| 第1行： | 第1行： | ||
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] |
|||
The Pearson diagram, figure 23, requires someexplanation. Two of its coordinates are the dimensionless indices of skewness1and kurtosis2which uniquely characterize the form of the distribution.For example, uniform and normal distributions appear on the(1,2)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-dashline, 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[1< 0 and 2<1+ 1], where no actual distribution of the desired form can exist.Between this critical line 2= 1+ 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 oruni-modal, distributions. |
|||
*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. |
|||
[[文件:Pearson.jpg|Pearson diagram]] |
|||
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.
