XploRe Help : INSpremlogn

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 INSprembur

Quantlet:		INSpremlogn
Description:		returns the values of premium in the case of lognormal distribution of losses.

Reference(s):

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

Usage:	`y = INSpremlogn (mu, sigma, param, ind)`
Input:
	`mu`	scalar, parameter mu in lognormal distribution
	`sigma`	scalar, parameter sigma in lognormal 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 premium for lognormal distribution of loss

Example:

library("insurance") x =(0:10) INSpremlogn(3, 1, x, 4)

Result:

Contents of y
[ 1,]   33.115
[ 2,]   76.524
[ 3,]   119.93
[ 4,]   163.34
[ 5,]   206.75
[ 6,]   250.16
[ 7,]   293.57
[ 8,]   336.98
[ 9,]   380.39
[10,]   423.79
[11,]    467.2

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