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Table 4 Parameter estimates for the BG model (BG truncated exponential marginals) fitted to the variables education & health by maximum likelihood (standard errors in parenthesis)

From: Bivariate beta-generated distributions with applications to well-being data

 Variables: education & health

Year

Truncated exponential model

p ̂ 1

p ̂ 2

q ̂

â 1

â 2

1980

3.4104

19.2541

1.3217

3.1388

4.1114

 

(0.3671)

(4.0935)

(0.2372)

(0.4543)

(0.6456)

1985

3.9159

17.3862

1.4386

2.7821

3.4638

 

(0.4287)

(3.7250)

(0.2519)

(0.4325)

(0.6248)

1990

4.1159

10.5428

1.6196

2.2094

2.1086

 

(0.4795)

(2.0906)

(0.2652)

(0.4185)

(0.5804)

1995

4.0476

6.7782

1.6363

1.7177

1.0854

 

(0.5304)

(1.3450)

(0.2499)

(0.4271)

(0.5825)

2000

3.8541

5.3537

1.5412

1.3568

0.5281

 

(0.5772)

(1.1472)

(0.2193)

(0.4437)

(0.6087)

2005

4.3824

3.8719

1.2821

1.6870

0.0000

 

(0.7229)

(0.4862)

(0.1420)

(0.4704)

(0.0427)

2010

3.9681

4.1826

1.1884

1.3861

0.0001

 

(0.7878)

(1.0311)

(0.1607)

(0.5223)

(0.6912)