Buhlmann's method Frequency (number) of individual claims in each period, X €{0, 1, 2}, follow the binomial distribution (2, 0) and 0 followdistribution U(0, 1). Prediction of the frequency of claims infuture periods using the Buhlmann. method c- ZR+ (- Z)H, Z =credibility factor, R = current observation, and H= prior meanprocess.a) Calculate E(0), E(0) and Var(0)b) Specify E(XO) and Var(X|0)c) Calculate the expected process variance E. Car, (x)) and theconditional mean variance Var; (E. (X)))d) Calculate the ratio of the expected process variance to theE. (Var (X 8))conditional mean variance, k-Var, (E. (X 8))e) Calculate the predicted number of claims in the secondperiod if there are three claims in the first period,E(X₂X₁= 3).

Consider,The prior distribution of the is .

Frequency (number) of individual claims in each period, XE {0, 1, 2}, follow the binomial distribution (2, 0) and 0 follow distribution U(0, 1). Prediction of the frequency of claims in future periods using the Buhlmann. method c- ZR+ (- Z)H, Z = credibility factor, R = current observation, and H= prior mean process. a) Calculate E(0), E(0) and Var(0) b) Specify E(X0) and Var(X|0) c) Calculate the expected process variance E. Var. (x)) and the conditional mean variance Var (E. (X))) d) Calculate the ratio of the expected process variance to the E. (Var (X 8)) conditional mean variance, *= Vary (E (X 8))

Frequency (number) of individual claims in each period, XE {0, 1, 2}, follow the binomial distribution (2, 0) and 0 follow distribution U(0, 1). Prediction of the frequency of claims in future periods using the Buhlmann. method c- ZR+ (- Z)H, Z = credibility factor, R = current observation, and H= prior mean process. a) Calculate E(0), E(0) and Var(0) b) Specify E(X0) and Var(X|0) c) Calculate the expected process variance E. Var. (x)) and the conditional mean variance Var (E. (X))) d) Calculate the ratio of the expected process variance to the E. (Var (X 8)) conditional mean variance, *= Vary (E (X 8))

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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