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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 xm and monotonically decreasing for xm. 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.


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