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删除67字节 、 2020年10月17日 (六) 12:51
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=== Definition of long-tailed distribution 长尾分布的定义 ===
 
=== Definition of long-tailed distribution 长尾分布的定义 ===
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The probabilistic interpretation or catastrophe principle.
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概率解释或突变原理。
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The distribution of a [[random variable]] ''X'' with [[cumulative distribution function|distribution function]] ''F'' is said to have a long right tail<ref name="Asmussen"/> if for all ''t''&nbsp;>&nbsp;0,
 
The distribution of a [[random variable]] ''X'' with [[cumulative distribution function|distribution function]] ''F'' is said to have a long right tail<ref name="Asmussen"/> if for all ''t''&nbsp;>&nbsp;0,
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A distribution F on the whole real line is subexponential if the distribution
 
A distribution F on the whole real line is subexponential if the distribution
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整条实线上的分布 f 是次指数,如果分布是次指数的话
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如果对于所有t>0,具有分布函数F的随机变量X的分布被称为具有较长的右尾,
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All long-tailed distributions are heavy-tailed, but the converse is false, and it is possible to construct heavy-tailed distributions that are not long-tailed.
 
All long-tailed distributions are heavy-tailed, but the converse is false, and it is possible to construct heavy-tailed distributions that are not long-tailed.
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=== Subexponential distributions 长尾分布的定义 ===
 
=== Subexponential distributions 长尾分布的定义 ===
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