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这里，mu是Lebesgue度量

这里，mu是Lebesgue度量

Note on terminology: some authors use the term "continuous distribution" to denote distributions whose cumulative distribution functions are [[continuous function|continuous]], rather than [[absolute continuity|absolutely continuous]]. These distributions are the ones <math>\mu</math> such that <math>\mu\{x\}\,=\,0</math> for all <math>\,x</math>. This definition includes the (absolutely) continuous distributions defined above, but it also includes [[singular distribution]]s, which are neither absolutely continuous nor discrete nor a mixture of those, and do not have a density. An example is given by the [[Cantor distribution]].

Note on terminology: some authors use the term "continuous distribution" to denote distributions whose cumulative distribution functions are [[continuous function|continuous]], rather than [[absolute continuity|absolutely continuous]]. These distributions are the ones <math>\mu</math> such that <math>\mu\{x\}\,=\,0</math> for all <math>\,x</math>. This definition includes the (absolutely) continuous distributions defined above, but it also includes [[singular distribution]]s, which are neither absolutely continuous nor discrete nor a mixture of those, and do not have a density. An example is given by the [[Cantor distribution]].

关于术语的注释：一些作者使用术语“连续分布”来表示其累积分布函数是连续的而不是绝对连续的分布。这些分布是所有x的μ{x} = 0的μ分布。该定义包括上面定义的（绝对）连续分布，但也包括奇异分布，既不是绝对连续也不是离散的，也不是它们的混合。没有密度。 Cantor分布给出了一个示例。

关于术语的注释：一些作者使用术语“连续分布”来表示其累积分布函数是连续的而不是绝对连续的分布。这些分布是所有x的μ{x} = 0的μ分布。该定义包括上面定义的（绝对）连续分布，但也包括奇异分布，既不是绝对连续也不是离散的，也不是它们的混合。没有密度。 Cantor分布给出了一个示例。

== '''<font color="#ff8000"> [[Andrey Kolmogorov|Kolmogorov]] definition 柯尔莫哥洛夫的定义</font>'''==

== '''<font color="#ff8000"> [[Andrey Kolmogorov|Kolmogorov]] definition 柯尔莫哥洛夫的定义</font>'''==