qSlicedLNormPareto: The inverse cumulative density function of a Sliced LogNormal...

In NetSimR: Actuarial Functions for Non-Life Insurance Modelling

The inverse cumulative density function of a Sliced LogNormal Pareto severity distribution

Description

The inverse cumulative density function of a Sliced LogNormal Pareto severity distribution

Usage

qSlicedLNormPareto(q, mu, sigma, SlicePoint, shape)

Arguments

q	A real number between 0 and 1 - the probability where the inverse cumulative density function will be evaluated.
mu	A real number - the first parameter of the attritional Claim Severity's LogNormal distribution.
sigma	A positive real number - the second parameter of the attritional Claim Severity's LogNormal distribution.
SlicePoint	A positive real number - the slice point and the scale parameter of the tail Claim Severity's Pareto distribution.
shape	A positive real number - the shape parameter of the tail Claim Severity's Pareto distribution.

Value

The value of the inverse cumulative density function at q with an attritional claim LogNormal distribution with parameters mu and sigma and a large claim Pareto distribution with parameters SlicePoint and shape.

Examples

qSlicedLNormPareto(0.5,6,1.5,1000,1.2)
qSlicedLNormPareto(0.7,7,1.6,3000,1.4)

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