Let {X} be the amount of claims in the past n exposure units, Question 5. which are assumed to be independent and have a common distribution as X = Y;, where N j=1 Poisson(5) and 0.95 and = 0.1 be the probability N and all Y, are independent. Moreover, (number of claims) N ~ Gamma (a = 3,0 = 6). Let p (severity sizes) Y; and the fluctuation limit used. = ~ (a) Determine the condition for full credibility based on the number of claims. Based on the amount of claims, is full credibility appropriate for Xif n = 95? If (b) not, determine the credibility factor in the partial credibility based on the amount of claims.
Let {X} be the amount of claims in the past n exposure units, Question 5. which are assumed to be independent and have a common distribution as X = Y;, where N j=1 Poisson(5) and 0.95 and = 0.1 be the probability N and all Y, are independent. Moreover, (number of claims) N ~ Gamma (a = 3,0 = 6). Let p (severity sizes) Y; and the fluctuation limit used. = ~ (a) Determine the condition for full credibility based on the number of claims. Based on the amount of claims, is full credibility appropriate for Xif n = 95? If (b) not, determine the credibility factor in the partial credibility based on the amount of claims.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:N
j=1
Let {X} be the amount of claims in the past n exposure units,
Question 5.
5) and
~Poisson(X
which are assumed to be independent and have a common distribution as X = Y,, where
= = 0.1 be the probability
N and all Y, are independent. Moreover, (number of claims) N
= 3,0 6). Let p = 0.95 and
~ Gamma (a
(severity sizes) Y;
and the fluctuation limit used.
=
(a)
Determine the condition for full credibility based on the number of claims.
Based on the amount of claims, is full credibility appropriate for X if n = 95? If
(b)
not, determine the credibility factor in the partial credibility based on the amount of claims.
=
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