Skip to main content

Advertisement

Table 8 Confidence Intervals (95%) for the BG models (with beta and GB1 marginals) fitted to the variables education & income by maximum likelihood

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

 Variables: education & health
Year Limit 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 Lower 1.8495 2.7970 2.3731 1.0465 -9.8941 2.1157 0.5207 -0.1166
  Upper 2.6367 3.9976 3.3887 3.3161 43.1161 3.1909 1.3999 0.5556
1985 Lower 2.3734 3.0680 2.6332 1.4627 -0.8081 2.2068 0.2489 -0.0054
  Upper 3.3816 4.3764 3.7536 7.2161 21.2427 3.3362 1.0153 0.7226
1990 Lower 2.6136 3.0383 2.5333 1.0542 0.7503 2.0816 0.1017 0.0699
  Upper 3.7246 4.3327 3.6097 11.8460 14.4931 3.1498 0.8387 0.8383
1995 Lower 2.7359 2.7259 2.2325 1.5404 1.8379 1.8583 0.1344 0.1637
  Upper 3.9033 3.8889 3.1815 11.1832 10.5759 2.8061 0.8470 0.8293
2000 Lower 1.0808 0.8424 0.5077 13.4885 12.1203 0.4423 0.1112 0.0826
  Upper 4.0765 3.6015 2.8003 10.3750 9.8971 2.4872 0.9442 0.8199
2005 Lower 2.9927 2.3613 1.7135 0.9657 1.6922 1.5028 0.0716 0.3897
  Upper 4.2805 3.3727 2.4419 13.5219 5.1700 2.2546 0.8830 1.1491
2010 Lower 3.0920 2.2879 1.5626 1.4042 2.5649 1.4537 0.4362 0.3037
  Upper 4.4272 3.2699 2.2262 5.5120 7.1611 2.1731 1.6256 1.0367