On interpreting and extracting information from the cumulative distribution function curve: A new perspective with applications

Uditha Balasooriya, Jackie Li, Chan Kee Low · Australian senior mathematics journal · 2012

For any density function (or probability function), there always corresponds a cumulative distribution function (cdf). It is a well-known mathematical fact that the cdf is more general than the density function, in the sense that for a given distribution the former may exist without the existence of the latter. Nevertheless, while the density function curve is frequently adopted as a graphical device in depicting the main attributes of the distribution it represents, the cdf curve is usually ignored in such practical analysis.

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