Journal of Probability and Statistics / 2012 / Article / Tab 4 / Research Article
Secondary Analysis under Cohort Sampling Designs Using Conditional Likelihood Table 4 Maximum likelihood estimates (standard errors) of the parameters
𝛼
of the all-cause mortality model
𝜆
𝑖
(
𝑡
)
=
(
𝛼
4
/
𝛼
0
)
(
𝑡
/
𝛼
0
)
𝛼
4
−
1
e
x
p
{
𝛼
1
𝑏
𝑖
+
𝛼
2
𝑌
𝑖
+
𝛼
3
1
{
𝑍
𝑖
=
0
}
}
, and
𝛾
, the population frequency of the lactase persistence allele.
Likelihood
𝑘
𝛼
0
l
o
g
𝛼
0
𝛼
1
𝛼
2
𝛼
3
𝛼
4
l
o
g
𝛼
4
̂
𝛾
Conditional 100 23.88 3.17 (0.21) 0.12 (0.01) 0.00 (0.01)
−
0
.
0
1
(0.12)1.34 0.29 (0.03) — (6.2 ) 1000 23.52 3.16 (0.21) 0.12 (0.01) 0.00 (0.01)
−
0
.
0
1
(0.12)1.34 0.29 (0.03) — 5000 23.45 3.15 (0.21) 0.12 (0.01) 0.00 (0.01)
−
0
.
0
1
(0.12)1.34 0.29 (0.03) — Conditional 100 20.43 3.02 (0.20) 0.12 (0.01)
−
0
.
0
1
(0.01)
−
0
.
0
1
(0.11)1.33 0.29 (0.03) 0.59 (0.01) (6.3 ) 1000 20.34 3.01 (0.20) 0.12 (0.01)
−
0
.
0
1
(0.01)
−
0
.
0
1
(0.11)1.33 0.29 (0.03) 0.59 (0.01) 5000 20.44 3.02 (0.20) 0.12 (0.01)
−
0
.
0
1
(0.01)
−
0
.
0
1
(0.11)1.33 0.29 (0.03) 0.59 (0.01) Full — 18.40 2.91 (0.17) 0.09 (0.01)
−
0
.
0
1
(0.01)
−
0
.
0
7
(0.11)1.33 0.28 (0.03) 0.59 (0.01)