The Kolmogorov–Smirnov test is based on cumulative distribution functions and can be used to test to see whether two empirical distributions are different or whether an empirical distribution …

Jul 23, 2025 · What is a Cumulative Distribution Function? The Cumulative Distribution Function (CDF) of a random variable is a mathematical function that provides the probability that the …

Mar 16, 2024 · A cumulative distribution function (CDF) describes the probabilities of a random variable having values less than or equal to x. It is a cumulative function because it sums the …

Learn about the Cumulative Distribution Function (CDF), its relationship with PDF, examples, and different types of distributions and special cases.

The cumulative distribution function (also called the distribution function) gives you the cumulative (additive) probability associated with a function. The CDF can be used to calculate the …

The CDF is a non-decreasing. The maximum of the CDF is when x = ∞: FX (+∞) = 1. The minimum of the CDF is when x = −∞: FX (−∞) = 0.

Note that the CDF completely describes the distribution of a discrete random variable. In particular, we can find the PMF values by looking at the values of the jumps in the CDF …