Bimodal distribution

from Wikipedia, the free encyclopedia
Example of a bimodal image histogram
Example for two uni- (red) and one bimodal density function (blue)

In mathematics, a bimodal distribution is a probability distribution or frequency distribution in which the density or its estimate has two modes . She is a multimodal (or multimodal ) distribution, since they, unlike the unimodal distribution ( unimodal distribution) over a maximum has. A bimodal distribution can be both symmetrical and asymmetrical .

Bimodal distributions occur in many human-viewed situations. Often the fact that the examined group is subject to two different groups is responsible for the two modes. Would z. If, for example, the proportion of erythrocytes in the blood of a group of people is shown in a frequency distribution, this would result in two modes, since men usually have a higher proportion of erythrocytes in the blood than women.

A bimodal distribution is important because the underlying data can be easily divided into two classes. This is usually done by choosing a threshold value at the point where the minimum lies between the two maxima. Such a method is used, for example, in the binarization of images, a type of segmentation in which only two segments are generated, e.g. B. by applying a threshold method .

The specification of confidence intervals for random variables with a multimodal distribution is more difficult than usual . It must also be specified (e.g. symmetrically) in order to describe it clearly.

See also

Individual evidence

  1. a b Elizabeth R. Lenz: Measurement in Nursing and Health Research , page 55.
  2. ^ Elie Sanchez: Fuzzy Logic and the Semantic Web , 178.