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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
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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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!
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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