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The conditional probability distribution of a Pareto-distributed random variable, given the event that it is greater than or equal to a particular number x_1 exceeding x_\text{m}, is a Pareto distribution with the same Pareto index \alpha but with minimum x_1 instead of x_\text{m}.

The conditional probability distribution of a Pareto-distributed random variable, given the event that it is greater than or equal to a particular number x_1 exceeding x_\text{m}, is a Pareto distribution with the same Pareto index \alpha but with minimum x_1 instead of x_\text{m}.

一个Pareto分布随机变量的条件概率分布，如果它大于或等于某个特定的数 x_1 exceeding x_\text{m}，则它是具有相同Pareto指数的Pareto分布，但是具有最小的 x_1而不是x_\text{m}。

一个Pareto分布随机变量的条件概率分布，如果它大于或等于某个特定的数<math>x_1</math> exceeding <math>x_\text{m}</math>，则它是具有相同<font color="#ff8000"> Pareto指数</font>的<font color="#ff8000"> Pareto分布</font>，但是具有最小的&nbsp;x_1而不是x_\text{m}。

The [[conditional probability distribution]] of a Pareto-distributed random variable, given the event that it is greater than or equal to a particular number&nbsp;<math>x_1</math> exceeding <math>x_\text{m}</math>, is a Pareto distribution with the same Pareto index&nbsp;<math>\alpha</math> but with minimum&nbsp;<math>x_1</math> instead of <math>x_\text{m}</math>.

The [[conditional probability distribution]] of a Pareto-distributed random variable, given the event that it is greater than or equal to a particular number&nbsp;<math>x_1</math> exceeding <math>x_\text{m}</math>, is a Pareto distribution with the same Pareto index&nbsp;<math>\alpha</math> but with minimum&nbsp;<math>x_1</math> instead of <math>x_\text{m}</math>.

===A characterization theorem一个特征定理===

===A characterization theorem一个特征定理===