pSlicedGammaPareto: The cumulative density function (cdf) of a Sliced...

In NetSimR: Actuarial Functions for Non-Life Insurance Modelling

The cumulative density function (cdf) of a Sliced Gamma-Pareto severity distribution

Description

The cumulative density function (cdf) of a Sliced Gamma-Pareto severity distribution

Usage

pSlicedGammaPareto(x, GShape, GRate, SlicePoint, PShape)

Arguments

x	A positive real number - the claim amount where the cumulative density function (cdf) will be evaluated.
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.
PShape	A positive real number - the shape parameter of the tail Claim Severity's Pareto distribution.

Value

The value of the cumulative density function (cdf) at x with an attritional claim Gamma distribution with parameters GShape and GRate and a large claim Pareto distribution with parameters SlicePoint and PShape.

Examples

pSlicedGammaPareto(3000,1,0.0005,1000,1.2)
pSlicedGammaPareto(1000,1.1,0.0006,2000,1.6)
pSlicedGammaPareto(2000,1.2,0.0004,3000,1.4)

NetSimR documentation built on Oct. 25, 2023, 1:08 a.m.