: Mathématiques: logit function

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logit function

In statistics, the logit (/ˈloʊdʒɪt/ LOH-jit) function is the quantile function associated with the standard logistic distribution. It has many uses in data analysis and machine learning, especially in data transformations.
Mathematically, the logit is the inverse of the standard logistic function ${\\displaystyle \\sigma (x)=1/(1+e^{-x})}$ , so the logit is defined as

${\\displaystyle \\operatorname {logit} p=\\sigma ^{-1}(p)=\\ln {\ rac {p}{1-p}}\\quad {\ ext{for}}\\quad p\\in (0,1).}$

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