Table 1 The population parameter values for four different distributional shapes arising from the CRD
From: The Chapman-Richards Distribution and its Relationship to the Generalized Beta
Population parameter | Concave | Positively Skewed | Rotated-Sigmoid | U-Shaped (Bathtub) |
|---|---|---|---|---|
m | -0.180 | -0.280 | 0.260 | 0.540 |
η | 0.840 | 0.540 | 0.330 | 0.480 |
γ | 0.012 | 0.004 | 0.019 | 0.088 |
R | 20.000 | 20.000 | 20.000 | 21.000 |
M | 0.019 | 0.019 | 0.019 | 0.026 |
d ∞ | 36.614 | 46.166 | 47.353 | 39.962 |
\({\tilde {N}}\) | 1052.632 | 1052.632 | 1052.632 | 807.692 |
\({\tilde {B}}\) | 32.474 | 19.939 | 35.858 | 31.689 |
σ 1 | 0.080 | 0.080 | 0.100 | 0.080 |
σ 2 | 0.150 | 0.120 | 0.180 | 0.160 |