Utilize our Logistic Distribution Calculator to determine cumulative probabilities (CDF) for any given value x. Understand the shape of the S-curve, a fundamental concept in statistics, machine learning, and growth modeling, by inputting the location (μ) and scale (s) parameters. Quickly analyze probabilities for various scenarios.
Formula:
The Cumulative Distribution Function (CDF) for a Logistic Distribution is given by:
F(x; μ, s) = 1 / (1 + e-(x - μ) / s)
Where:
- x: The specific value at which to evaluate the CDF.
- μ (Mu): The location parameter (mean or median of the distribution, center of the S-curve).
- s: The scale parameter (a positive value that determines the steepness of the S-curve).
- e: Euler's number (approximately 2.71828).