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The entropic log odds as a measure of distribution asymmetry
Statistics ( IF 1.2 ) Pub Date : 2021-04-04 , DOI: 10.1080/02331888.2021.1910265
Roger J. Bowden 1
Affiliation  

The entropic measure of distributional spread, representing the total binary code complexity of the probability distribution, is equal to the area under the partition entropy function. A conjugate dual, obtained as a simple internal sign change from the partition entropy function, can be employed to indicate the relative complexity to the right of any given point versus that to the left. The area beneath this function constitutes a dual measure of distribution asymmetry, which can be reconciled with one based on conditional expected values.



中文翻译:

熵对数几率作为分布不对称的度量

分布扩展的熵度量,表示概率分布的总二进制代码复杂度,等于分区熵函数下的面积。作为从分区熵函数的简单内部符号变化获得的共轭对偶可用于指示任何给定点右侧与左侧的相对复杂性。该函数下方的区域构成了分布不对称的双重度量,可以与基于条件期望值的度量相协调。

更新日期:2021-04-04
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