A | μ = 145.6716 + 1.695221 X−0.5 − 3.059521ln(X) − 55.04029 X3 | B | μ = 86.22472 + 1.378669 X−0.5 − 31.29894 X3 − 27.07181 X3 ln(X) |
σ = 14.22583 + 0.0235383 X−1 − 1.237668 X3 | μ = 7.679148 + 0.0202749 X−1 − 1.347937 X3 | ||
γ = −0.0593074 − 0.381785 X3 | γ = −0.0442746 − 0.3954789 X3 | ||
θ = 1.26317 | |||
C | μ = 9.896679 − 0.2111402 ln(X) − 5.590998 X2 | D | μ = 3.403339 − 0.5878885 X − 1.706435 X2 |
σ = 1.596243 − 0.346624 X | σ = 0.5801882 + 0.0000132 X−2 | ||
γ = 0.0632866 − 0.4274138 X3 | γ = 0.0081176 − 0.3621435 X3 | ||
θ = 0.6632529 | |||
E | μ = 1.703424 − 0.6519961 X0.5 − 0.3350363 X3 | F | μ = 11.11401 − 0.0000336 X−2 − 3.188784 X0.5 − 4.048755 X3 |
σ = 0.3169457 + 0.0246416 X0.5 | σ = 1.40096 + 0.0001188 X−2 | ||
γ = 0.0197081 − 0.253855 X3 | γ = −0.0102384 − 0.4045783 X3 | ||
θ = 0.2095135 | |||
G | μ = 1218829 − 80972.3 ln(X) − 710209.9 X3 | H | μ = 471589.4 − 23025.27 ln(X) − 288840.5 X3 |
σ = 211807.3 | σ = 73751.38 + 165.8814 X−0.5 − 40108.09 X3 | ||
θ = 2.993395 | γ = −0.0057655 − 0.430995 X3 | ||
θ = 2.802485 | |||
I | μ = 5.331432 + 0.003554 X−1 − 1.174509 X3 − 1.438436 X3 ln(X) | J | μ = −0.9268794 − 0.2575655 X0.5 + 0.46828822 X3 |
σ = 0.8882193 | σ = 0.2561955 + 0.0638789 X0.5 | ||
θ = 0.4664711 | |||
K | μ = 0.4266512 + 0.000001123 X−2 − 0.0313357 X0.5 | ||
σ = 0.0255449 + 0.0059902 X2 |
a A = APD; B = LCC; C = GT; D = BT; E = IT; F = ST; G = FOD for males; H = FOD for females; I = S/T; J = IT/ST; K = APD/FOD.
b With where T1 = 0 and Tn = 15.53 denote minimum and maximum ages respectively and ρ, a preselected constant equal to 0.01.
c Six measurements need prior Box-Cox transformation: A, D, E, G, H, I; 1 measurement needs natural logarithmic transformation.
d Seven models are EN: A, B, C, D, E, F, H; all others are normal.