Simulation Variables | ||||||||
Basis RVs X(μi,σi) | R1(3,0.7) | R2(5,1.0) | H(20,2.0) | C(1,0.2) | ||||
Composite RVs | Z=(π/3)(R21+R1R2+R22)HC Y=ln(Z) | |||||||
| Mean ˉZ or 〈Z〉 | S.E. SZ or ΣZ | Mean ˉY or 〈Y〉 | S.D. sY or σY | S.E. SY or ΣY | |||
Sample n = 1706 | 982 | 38.56 | 6.57 | 0.72 | 0.017 | |||
Simulation Log-Normal n = 1,000,000 | 1057 | 0.42 | 6.89 | 0.38 | 0.00038 | |||
Theoretical Expectations | 1057 | 0.41 | 6.89 | 0.38 | 0.00038 | |||
Simulation Normal n = 1,000,000 | 1057 | 0.40 | 6.89 | 0.39 | 0.00039 | |||
Theoretical Expectations | 1061 | 0.43 | 6.89 | 0.39 | 0.00039 | |||
True Count | 1111 |
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