1. There are 600 insureds and the number of claims submitted by them is given as follows: 0 claims submitted by 430 insureds, 1 claim submitted by 120 insureds, 2 claims submitted by 40 insureds, 3 claims submitted by 10 insureds and there were no 4 or more claims submitted. Annual claim counts for each insured are assumed to follow a Poisson distribution. Estimate the number of claims submitted by an insured in the next year by an insured who submitted 3 claims in the current year, assuming that the credibility is calculated using empirical Bayes semiparametric methods.
1. There are 600 insureds and the number of claims submitted by them is given as follows: 0 claims submitted by 430 insureds, 1 claim submitted by 120 insureds, 2 claims submitted by 40 insureds, 3 claims submitted by 10 insureds and there were no 4 or more claims submitted. Annual claim counts for each insured are assumed to follow a Poisson distribution. Estimate the number of claims submitted by an insured in the next year by an insured who submitted 3 claims in the current year, assuming that the credibility is calculated using empirical Bayes semiparametric methods.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:1. There are 600 insureds and the number of claims submitted by them is
given as follows: 0 claims submitted by 430 insureds, 1 claim submitted by 120
insureds, 2 claims submitted by 40 insureds, 3 claims submitted by 10 insureds
and there were no 4 or more claims submitted.
Annual claim counts for each insured are assumed to follow a Poisson
distribution. Estimate the number of claims submitted by an insured in the next
year by an insured who submitted 3 claims in the current year, assuming that the
credibility is calculated using empirical Bayes semiparametric methods.
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