The frequency (number) of individual claims in each period, XE(0,1,2,3,4,5} follows the distribution binomials (5, 0) and follow a U(0, 1) distribution. Prediction of the frequency of claims in the coming period using the
The frequency (number) of individual claims in each period, XE(0,1,2,3,4,5} follows the distribution binomials (5, 0) and follow a U(0, 1) distribution. Prediction of the frequency of claims in the coming period using the
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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
Transcribed Image Text:The frequency (number) of individual claims in each period,
X E(0,1,2,3,4,5} follows the distribution
binomials (5, 0) and 0 follow a U(0, 1) distribution. Prediction
of the frequency of claims in the coming period using the
Buhlmann method C = ZR + 1-ZH, Z credibility factor,
R = current observation this, and H = prior to the process
mean.
1. Determine E (X|0) and Var (X|0), if we know that
E 0 and Var 0
|_
12
2. calculate expected process variance Ee Var (X|0) and
conditional mean variance Vare Ex (XIe)
3. Calculate the ratio of the expected process variance to
the conditional mean variance, k
Ee Varx (XO)
Varo Ex(X|0)
4. Calculate the predicted number of claims in the second
period if there are 3 claims in the first period!
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