Table 7.5.  Distribution of the highest age in cohorts 1871-80. Various models

   

Expected

value

 

Standard

deviation

Percentiles
1% 99%
Males:        
Gompertz 109.93 0.96 108.2 112.6
Weibull 110.93 1.09 109.0 113.9
Heligman & Pollard 111.10 1.14 109.1 114.3
Quadratic 113.09 1.44 110.7 117.3
Kannisto 113.68 1.57 111.1 118.5
Logistic 113.52 1.53 110.9 118.0
         
Females:        
Gompertz 111.85 0.92 110.2 114.4
Weibull 113.02 1.05 111.1 115.9
Heligman & Pollard 113.19 1.10 111.3 116.3
Quadratic 115.49 1.43 113.1 119.7
Kannisto 116.15 1.56 113.6 120.8

Logistic

116.39

1.59 113.7 121.1
Method: For all except the Quadratic model, the calculations start with 3.2 million males and 4.8  million females in these cohorts reaching age 80. The parameters are fitted to the cohort data at all ages 80 and over. For the Quadratic model, the calculation starts with 1.46 million males and 2.55 million females reaching age 85, and the parameters are  fitted to all ages 85 and over.