XploRe Help : INSpremburr

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 INSprempareto INSpremlogn

Quantlet:		INSpremburr
Description:		returns the values of premium in the case of Burr distribution of losses.

Reference(s):

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

Usage:	`y = INSpremburr (alpha, lambda, tau, param, ind)`
Input:
	`alpha`	scalar, parameter alpha in Burr distribution
	`lambda`	scalar, parameter lambda in Burr distribution
	`tau`	scalar, parameter tau in Burr 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
Output:
	`y`	array, value of the premium for Burr distribution of loss

Example:

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

Result:

Contents of y
[ 1,]  0.86921
[ 2,]   1.7384
[ 3,]   2.6076
[ 4,]   3.4768
[ 5,]   4.3461
[ 6,]   5.2153
[ 7,]   6.0845
[ 8,]   6.9537
[ 9,]   7.8229
[10,]   8.6921
[11,]   9.5613

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