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Table 6 Parameter estimates for the BG model (BG truncated exponential marginals) fitted to the variables income & health by maximum likelihood (standard errors in parenthesis)

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

 Variables: income & health

Year

Truncated exponential model

p ̂ 1

p ̂ 2

q ̂

â 1

â 2

1980

5.2910

5.6187

2.1441

1.7075

0.6332

 

(0.7765)

(1.0281)

(0.3450)

(0.4689)

(0.5700)

1985

6.0810

8.9083

2.0766

2.1172

1.3880

 

(0.7943)

(1.6258)

(0.3272)

(0.4063)

(0.5318)

1990

6.6056

9.9881

1.7975

2.5828

1.7600

 

(0.8013)

(1.7123)

(0.2787)

(0.3801)

(0.5043)

1995

6.6121

8.9254

1.5662

2.8884

1.7273

 

(0.8033)

(1.4908)

(0.2377)

(0.3774)

(0.4970)

2000

6.2010

7.4495

1.4527

2.8150

1.3495

 

(0.7880)

(1.2753)

(0.2108)

(0.3768)

(0.4997)

2005

6.5460

5.5399

1.3561

2.9102

0.6186

 

(0.9084)

(0.9529)

(0.1881)

(0.3852)

(0.5150)

2010

6.6966

4.1236

1.1760

3.1741

0.0000

 

(1.0480)

(0.7957)

(0.1720)

(0.4275)

(0.6583)