The logistic distribution receives its name from its Cumulative Distribution Function (CDF), which is an instance of the family of logistic functions. It resembles the normal distribution in shape but has heavier tails (higher kurtosis). It has been used in growth models and in health and social sciences. It also has applications in reliability modeling. The distribution has:

Where (0 < t < , σ > 0), and − < μ < . Here, μ and σ are location and scale parameters of the distribution.