Uniform distribution

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Uniform distribution may refer to:

[edit] Probability theory

• Discrete uniform distribution
• Continuous uniform distribution

They share the property that they have a bounded range, and are weakly unimodal where any members of their support can be taken to be the mode.

In Bayesian statistics, some users assume unbounded uniform prior distributions (as a translation invariant Jeffreys prior), which are improper priors. For instance, maximum likelihood estimation can be interpreted as maximum a posteriori estimation with a uniform prior, even if the resulting distribution is improper.

[edit] Analysis

• "Uniform distribution modulo 1", see Equidistributed sequence

[edit] Ecology

• Uniform distribution (ecology), a type of species distribution

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