Committee on National Security Systems (CNSS) Model: CNSS security model is developed by John McCumber which is also known as McCumber Cube. It has three dimensions namely, Availability, Confidentiality, Education, Integrity, Policy, Processing, Technology Storage and Transmission.

Question

using r language for integration theta = integral 0 to infinity (x^4)*e^(-x^2)/2 dx (1) use the density function of standard normal distribution N(0,1) f(x) = 1/sqrt(2pi) * e^(-x^2)/2 -infinity <x<infinity as importance function and obtain an estimate theta 1 for theta set m=100 for the estimate whatt is the estimate theta 1? (2)use the density function of gamma (r=5 λ=1/2)distribution f(x)=λ^r/Γ(r) x^(r-1)e^(-λx) x>=0 as importance function and obtain an estimate theta 2 for theta set m=1000 fir the estimate what is the estimate theta2? (3) use simulation (repeat 1000 times) to estimate the variance of the estimates theta1 and theta 2 which one has smaller variance?

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Question

Chapter 1, Problem 2E

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Committee on National Security Systems (CNSS) Model:

CNSS security model is developed by John McCumber which is also known as McCumber Cube. It has three dimensions namely, Availability, Confidentiality, Education, Integrity, Policy, Processing, Technology Storage and Transmission.

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