Table 1 

Summary of notation and definitions 

Notation 
Definition 


Introduced in Equation 1 

x 
Age 
n 
Age interval length 
e_{x} 
Life expectancy at age x 
Standard life expectancy at age x 

Standard life expectancy for age interval x to x + n 

_{n}a_{x} 
Average age of death for age interval x to x + n 
Introduced in Equations 2 to 5 

_{n}Y_{x} 
Expected years of life lost for age interval x to x + n 
_{n}D_{x} 
Number of deaths in age interval x to x + n 
r 
Discount rate (usually set to 0.03) 
K 
Ageweighting modulation constant (K = 0, no weighting; K = 1, weighting) 
β 
Ageweighting constant (set to β = 0.04) 
C 
Adjustment constant for ageweights (set to 0.1658) 
Y LL 
Expected years of life lost (Y LL = ∑_{n}Y_{x}) 
Equation 6 

ASY R 

Weighted expected years of life rate for age interval x to x + n 

_{n}y_{x} 
Expected years of life lost rate for age interval x to x + n 
_{n}N_{x} 
Population (personyear) estimate for age interval x to x + n 
_{n}w_{x} 
Year 2000 United States standard population as weights (∑_{n}w_{x }= 1) 
_{n}W_{x} 
Year 2000 United States standard population (∑_{n}W_{x }= 1,000,000) 


Aragón et al. BMC Public Health 2008 8:116 doi:10.1186/147124588116 