Unimodal function

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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 content from the English-language version of Wikipedia. The original article was at Unimodal function. The list of authors can be seen in the page history. As with Psychology Wiki, the text of Wikipedia is available under the GNU Free Documentation License.

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