ExposureCurvePareto: Exposure Curve from a Pareto severity distribution

In NetSimR: Actuarial Functions for Non-Life Insurance Modelling

Exposure Curve from a Pareto severity distribution

Description

Gives the share of the expected claim cost of a Pareto severity distribution that falls below the amount x (the capped mean divided by the mean), as used to exposure rate a layer.

Usage

ExposureCurvePareto(x, scale, shape)

Arguments

x	A non-negative real number - the claim amount where the exposure curve will be evaluated.
scale	A positive real number - the scale parameter of the Claim Severity's Pareto distribution.
shape	A positive real number - the shape parameter of the Claim Severity's Pareto distribution.

Value

The value of the Exposure curve at x with Claim Severity from a Pareto distribution with parameters scale and shape. The exposure curve divides by the mean, which is infinite when shape <= 1; the function returns 0 in that case.

See Also

Other exposure curve functions: ExposureCurveGamma(), ExposureCurveLNorm(), ExposureCurveSlicedGammaPareto(), ExposureCurveSlicedLNormPareto()

Examples

ExposureCurvePareto(700,500,1.2)
ExposureCurvePareto(20000,200,1.1)

NetSimR documentation built on Sept. 30, 2026, 5:13 p.m.