qSlicedGammaPareto: The inverse cumulative distribution function of a Sliced...

In NetSimR: Actuarial Functions for Non-Life Insurance Modelling

The inverse cumulative distribution function of a Sliced Gamma Pareto severity distribution

Description

Gives the claim amount that a claim from a sliced severity distribution, with Gamma attritional claims below the slice point and a Pareto tail above it, stays at or below with probability q; the inverse of pSlicedGammaPareto.

Usage

qSlicedGammaPareto(q, GShape, GRate, SlicePoint, PShape)

Arguments

q	A real number between 0 and 1 - the probability where the inverse cumulative distribution function will be evaluated. Values outside [0, 1] give NaN with a warning, as in qgamma().
GShape	A positive real number - the shape parameter of the attritional Claim Severity's Gamma distribution.
GRate	A positive real number - the rate parameter of the attritional Claim Severity's Gamma distribution.
SlicePoint	A positive real number - the slice point and the scale parameter of the tail Claim Severity's Pareto distribution. An infinite slice point gives the Gamma distribution.
PShape	A positive real number - the shape parameter of the tail Claim Severity's Pareto distribution.

Details

PShape is the Pareto shape parameter, usually written alpha; the sliced LogNormal-Pareto functions call the same parameter shape.

Value

The value of the inverse cumulative distribution function at q with an attritional claim Gamma distribution with parameters GShape and GRate and a large claim Pareto distribution with parameters SlicePoint and PShape. A non-numeric argument or a non-positive parameter is an error; NA values give NA.

See Also

Other sliced distribution functions: SlicedGammaParetoMean(), SlicedLNormParetoMean(), dSlicedGammaPareto(), dSlicedLNormPareto(), pSlicedGammaPareto(), pSlicedLNormPareto(), qSlicedLNormPareto()

Examples

qSlicedGammaPareto(0.5,1,0.0005,1000,1.2)
qSlicedGammaPareto(0.2,1.1,0.0006,2000,1.6)
qSlicedGammaPareto(0.8,1.2,0.0004,3000,1.4)

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