# Mixture (probability)

In probability theory and statistics, a **mixture** is a probabilistic combination of two or more probability distributions.^{[1]} The concept arises mostly in two contexts:

- A mixture defining a new probability distribution from some existing ones, as in a mixture distribution or a compound distribution. Here a major problem often is to derive the properties of the resulting distribution.
- A mixture used as a statistical model such as is often used for statistical classification. The model may represent the population from which observations arise as a mixture of several components, and the problem is that of a mixture model, in which the task is to infer from which of a
*discrete*set of sub-populations each observation originated.

## See also[edit]

## References[edit]

**^**Heidari, Hadi; Arabi, Mazdak; Ghanbari, Mahshid; Warziniack, Travis (June 2020). "A Probabilistic Approach for Characterization of Sub-Annual Socioeconomic Drought Intensity-Duration-Frequency (IDF) Relationships in a Changing Environment".*Water*.**12**(6): 1522. doi:10.3390/w12061522.