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Table 1 Parameter estimates for the BG models (with beta and GB1 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 BG model with beta marginals BG model with GB1 marginals
p ̂ 1 p ̂ 2 q ̂ p ̂ 1 p ̂ 2 q ̂ â 1 â 2
1980 2.6512 7.0544 3.4327 22.5595 10.5446 2.6651 0.1177 0.5381
  (0.2358) (0.6334) (0.3063) (9.1385) (2.4534) (0.2890) (0.0481) (0.1299)
1985 2.9384 7.5581 3.2621 11.1697 14.2985 2.6168 0.2527 0.4416
  (0.2614) (0.6780) (0.2906) (3.6937) (6.2408) (0.2810) (0.0818) (0.1918)
1990 2.9333 7.1301 2.8442 26.6132 6.6869 2.3141 0.1070 0.8566
  (0.2615) (0.6410) (0.2534) (20.0869) (1.7468) (0.2473) (0.0800) (0.2243)
1995 2.8508 6.1734 2.3377 17.3255 4.4878 2.0254 0.1606 1.1454
  (0.2551) (0.5572) (0.2085) (7.0388) (0.9738) (0.2125) (0.0649) (0.2588)
2000 2.7879 5.5716 1.9464 4.6151 5.7575 1.7644 0.5647 0.8677
  (0.2505) (0.5051) (0.1736) (1.7265) (2.8469) (0.1811) (0.2029) (0.4191)
2005 2.6539 5.0138 1.5705 13.1632 2.3387 1.5422 0.2096 1.9972
  (0.2398) (0.4577) (0.1401) (7.3975) (0.5126) (0.1578) (0.1173) (0.4455)
2010 2.6591 5.2296 1.4064 3.4113 3.7361 1.4084 0.7889 1.3821
  (0.2411) (0.4794) (0.1254) (1.1784) (1.4461) (0.1418) (0.2710) (0.5291)