Unimodal function

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.