Stata Technical Bulletin
23
a = l+exp(pl) = 2.75729; std. err. = 0.05246; z = 52.55669
b = l÷exp(p2) = 213.17639; std. err. = 6.17669; z = 34.51304
q = exp(p3) = 1.19518; std. err. = 0.06137; z = 19.47428
Singh-Maddala model estimates for distribution of eybhc
Percentiles Cumulative shares of | ||||
17. |
total eybhc (Lorenz ordinates) | |||
37.73642 |
0.00119 | |||
57. |
68.58355 |
0.01072 | ||
107. |
89.78419 |
0.02785 | ||
207. |
120.04293 |
0.07317 | ||
257. |
132.97006 |
0.10032 | ||
307. |
145.33266 |
0.13018 | ||
407. |
169.71135 |
0.19776 | ||
507. |
195.34499 |
0.27599 |
Mean |
233.07720 |
607. |
224.44103 |
0.36587 |
Std. Dev. |
175.49745 |
707. |
260.51414 |
0.46956 | ||
757. |
283.25851 |
0.52781 |
Variance |
30799.35345 |
807. |
311.44974 |
0.59147 |
Half CV^2 |
0.28347 |
907. |
404.94247 |
0.74246 |
Gini coeff. |
0.33268 |
957. |
513.02045 |
0.8392S |
p90∕pl0 |
4.51018 |
997. |
855.57398 |
0.94708 |
p75∕p25 |
2.13024 |
. dagumfit eybhc [fw = wgt],
stats cdf(dagumF) pdf(dagumf)
Warning: eybhc has 20 values < 0. Not used in calculations
Iteration 0: Log Likelihood = -2537735.5
(nonconcave function encountered)
Iteration 1: Log Likelihood = -57019.692
(nonconcave function encountered)
Iteration 2: Log Likelihood = -45368.91
Iteration 3: Log Likelihood = -41395.382
(nonconcave function encountered)
Iteration 4: Log Likelihood = -41065.244
Iteration 5: Log Likelihood = -40128.555
Iteration 6: Log Likelihood = -39919.827
Iteration 7: Log Likelihood = -39894.729
Iteration 8: Log Likelihood = -39884.318
Iteration 9: Log Likelihood = -39882.885
Iteration 10: Log Likelihood = -39882.863
Iteration 11: Log Likelihood = -39882.863
Iteration 12: Log Likelihood = -39882.863
ML fit of Dagum distribution Number of obs = 6448
Model chi2(0)
Prob > chi2 =
Log Likelihood = -39882.8626763
— |
eybhc I |
Coef. |
Std. Err. |
z |
P> Iz I |
[957. Conf. |
— Interval] |
— pl |
I _cons I |
-.1156061 |
.0447439 |
-2.584 |
0.010 |
-.2033025 |
— -.0279097 |
— p2 |
I _cons I |
1.113663 |
.0194751 |
57.184 |
0.000 |
1.075493 |
— 1.151834 |
— p3 |
I _cons I |
16.22055 |
.3753564 |
43.214 |
0.000 |
15.48486 |
— 16.95623 |
b = exp(pl) = 0.89083; std. err. = 0.03986; z = 22.34942
d = exp(p2) = 3.04549; std. err. = 0.05931; z = 51.34757
h = l÷exp(p3) = 11078840.30261; std. err. = 4158512.76880; z = 2.66414
Dagum model estimates for distribution of eybhc
Percentiles Cumulative shares of | |||
17. |
total eybhc (Lorenz ordinates) | ||
37.73208 |
0.00117 | ||
57. |
68.95422 |
0.01067 | |
107. |
90.29702 |
0.02777 | |
207. |
120.51138 |
0.07299 | |
257. |
133.33829 |
0.10004 | |
307. |
145.57025 |
0.12974 | |
407. |
169.62770 |
0.19686 | |
507. |
194.89853 |
0.27442 Mean |
234.77654 |