# Unimodal function

*34,200*pages on

this wiki

Assessment |
Biopsychology |
Comparative |
Cognitive |
Developmental |
Language |
Individual differences |
Personality |
Philosophy |
Social |

Methods |
Statistics |
Clinical |
Educational |
Industrial |
Professional items |
World psychology |

**Statistics:**
Scientific method ·
Research methods ·
Experimental design ·
Undergraduate statistics courses ·
Statistical tests ·
Game theory ·
Decision theory

In mathematics, a function *f*(*x*) between two ordered sets is **unimodal** if for some value *m* (the mode), it is monotonically increasing for *x* ≤ *m* and monotonically decreasing for *x* ≥ *m*. In that case, the maximum value of *f*(*x*) is *f*(*m*).

In probability and statistics, a **unimodal probability distribution** is a probability distribution where the probability density function is a unimodal function. For a unimodal probability distribution of a continuous random variable, the Vysochanskiï-Petunin inequality provides a refinement of the Chebyshev inequality.

This page uses Creative Commons Licensed content from Wikipedia (view authors). |