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The Kolmogorov-Smirnov test is a test for goodness of fit of data to a distribution. It is often used to test whether a variable is normally distributed.
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Kolmogorov Smirnov Test : CDF vs PDF
The kernel density of probabilistic function would be hard to interpret, the width of each individual Dirac can change, that is why cumulative distribution is chosen which gives a wholistic picture ab …