XploRe Help : INSprempareto

Keywords - Function groups - @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Library:	insurance
See also:	INSpremgam INSpremwei INSpremlogn INSprembur

Quantlet:		INSprempareto
Description:		returns the values of premium in the case of Pareto distribution of losses.

Reference(s):

J. Iwanik, J. Nowicka-Zagrajek "Premiums in the individual and collective risk models"

Usage:	`y = INSprempareto (alpha, lambda, param, ind)`
Input:
	`alpha`	scalar, parameter alpha in Pareto distribution
	`lambda`	scalar, parameter lambda in Pareto distribution
	`param`	array, if pure risk premium with security loading: relative security loading, if premium with variance or standard deviation: the coefficient, if quantile premium: quantile parameter
	`ind`	scalar, if ind=1, pure risk premium if ind=2, safety loaded premium if ind=3, variance loaded premium if ind=4, standard deviation loaded premium if ind=5, quantile premium
	`y`	array, value of the premium for Pareto distribution of loss

Example:

library("insurance") x =(0:10) INSprempareto(3, 1, x, 2)

Result:

Contents of y
[ 1,]      0.5
[ 2,]        1
[ 3,]      1.5
[ 4,]        2
[ 5,]      2.5
[ 6,]        3
[ 7,]      3.5
[ 8,]        4
[ 9,]      4.5
[10,]        5
[11,]      5.5

Author: A. Wylomanska, J. Iwanik 20041215 license MD*Tech