In mathematics and related areas, a natural parameter or natural parameterization can refer to:

• The natural parameter of a differentiable curve, its arc length, and the natural parameterization representing points by a function of arc length
• The natural parameter of an exponential family of probability distributions, the function ${\displaystyle \eta (\theta )}$ over which the distribution is exponential
• The natural parameter in parameterized complexity, describing a computational problem that is parameterized by its output value

See also

• Natural exponential family, an exponential family whose natural parameter is the identity function
• Natural parameter continuation, a method for solving nonlinear systems of equations by iterating from solutions on nearby parameter values

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