Table 1 Simulation Scenarios for Evaluating Estimator Performance.
Scenario | Parameters \((\theta _1, \theta _2, \lambda )\) | True \(\zeta _{3,5}\) | Stress (n, k) | Strength \((g, n_i, s_i, R_{i,j})\) |
|---|---|---|---|---|
Effect of Sample Size (n) with g=2 | ||||
1 | (1.8, 2.2, 1.2) | 0.577 | \((5,\, 3)\) | \(g=2, n_i=30, s_i=24, R_{i,j}=(0^{*23})\) |
2 | (1.8, 2.2, 1.2) | 0.577 | (10, 3) | \(g=2, n_i=50, s_i=40, R_{i,j}=(0^{*39})\) |
3 | (1.8, 2.2, 1.2) | 0.577 | (15, 3) | \(g=2, n_i=60, s_i=48, R_{i,j}=(0^{*47})\) |
Effect of Block Number (g) with fixed total units | ||||
4 | (2.5, 1.5, 1.0) | 0.284 | (10, 3) | \(g=2, n_i=50, s_i=40, R_{i,j}=(0^{*39})\) |
5 | (2.5, 1.5, 1.0) | 0.284 | (10, 3) | \(g=4, n_i=25, s_i=20, R_{i,j}=(0^{*19})\) |
6 | (2.5, 1.5, 1.0) | 0.284 | (10, 3) | \(g=6, n_i\approx 17, s_i=14, R_{i,j}=(0^{*13})\) |
Effect of Record Parameter (k) with g=4 | ||||
7 | (3.0, 3.5, 0.8) | 0.536 | (10, 1) | \(g=4, n_i=25, s_i=20, R_{i,j}=(0^{*19})\) |
8 | (3.0, 3.5, 0.8) | 0.536 | (10, 3) | \(g=4, n_i=25, s_i=20, R_{i,j}=(0^{*19})\) |
9 | (3.0, 3.5, 0.8) | 0.536 | (10, 5) | \(g=4, n_i=25, s_i=20, R_{i,j}=(0^{*19})\) |
Effect of Different Parameters with g=4 | ||||
10 | (1.8, 2.2, 1.2) | 0.577 | (10, 3) | \(g=4, n_i=25, s_i=20, R_{i,j}=(0^{*19})\) |
11 | (2.5, 1.5, 1.0) | 0.284 | (10, 3) | \(g=4, n_i=25, s_i=20, R_{i,j}=(0^{*19})\) |
12 | (3.0, 3.5, 0.8) | 0.536 | (10, 3) | \(g=4, n_i=25, s_i=20, R_{i,j}=(0^{*19})\) |
