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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



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