Logistic Distribution :: Distribution Reference (Statistics Toolbox™)

Contents

Index

• Getting Started

• Organizing Data

• Descriptive Statistics

• Statistical Visualization

• Probability Distributions

• Random Number Generation

• Hypothesis Tests

• Analysis of Variance

• Regression Analysis

• Multivariate Methods

• Cluster Analysis

• Classification

• Markov Models

• Design of Experiments

• Statistical Process Control

• Distribution Reference

• Bernoulli Distribution

• Beta Distribution

• Binomial Distribution

• Birnbaum-Saunders Distribution

• Chi-Square Distribution

Custom Distributions

• Exponential Distribution

• Extreme Value Distribution

• F Distribution

• Gamma Distribution

Gaussian Distribution

Gaussian Mixture Distributions

• Generalized Extreme Value Distribution

• Generalized Pareto Distribution

• Geometric Distribution

• Hypergeometric Distribution

• Inverse Gaussian Distribution

• Inverse Wishart Distribution

• Logistic Distribution

• Loglogistic Distribution

• Lognormal Distribution

• Multinomial Distribution

Multivariate Gaussian Distribution

• Multivariate Normal Distribution

• Multivariate t Distribution

• Nakagami Distribution

• Negative Binomial Distribution

• Noncentral Chi-Square Distribution

• Noncentral F Distribution

• Noncentral t Distribution

Nonparametric Distributions

• Normal Distribution

Pareto Distribution

Piecewise Distributions

• Poisson Distribution

• Rayleigh Distribution

• Rician Distribution

• Student's t Distribution

• t Location-Scale Distribution

• Uniform Distribution (Continuous)

• Uniform Distribution (Discrete)

• Weibull Distribution

• Wishart Distribution

• Release Notes

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Logistic Distribution

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Definition

The logistic distribution has the density function

with location parameter µ and scale parameter σ > 0, for all real x.

Background

The logistic distribution originated with Verhulst's work on demography in the early 1800s. The distribution has been used for various growth models, and is used in logistic regression. It has longer tails and a higher kurtosis than the normal distribution.

Parameters

See mle, dfittool.

See Also

Continuous Distributions (Data)

Johnson System

Loglogistic Distribution

Loglogistic Distribution

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