SlicedLNormParetoCappedMean: Sliced LogNormal Pareto capped mean

In NetSimR: Actuarial Functions for Non-Life Insurance Modelling

Sliced LogNormal Pareto capped mean

Description

Sliced LogNormal Pareto capped mean

Usage

SlicedLNormParetoCappedMean(cap, mu, sigma, SlicePoint, shape)

Arguments

cap	A positive real number - the claim severity cap.
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 mean of the claim severity capped at cap with an attritional claim LogNormal distribution with parameters mu and sigma and a large claim Pareto distribution with parameters SlicePoint and shape.

Examples

SlicedLNormParetoCappedMean(1200,6,1.5,1000,1.2)
SlicedLNormParetoCappedMean(2500,6.5,1.4,2000,1.6)
SlicedLNormParetoCappedMean(4000,7,1.6,3000,1.4)

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