Probability theory

• discrete uniform distribution
• continuous uniform distribution

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

In Bayesian statistics, some users assume improper (i.e. infinite) uniform prior distributions.

Analysis

• "Uniform distribution modulo 1", see Equidistributed sequence

Ecology

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