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. Author manuscript; available in PMC: 2016 Feb 1.
Published in final edited form as: Int J Emerg Ment Health. 2013;15(4):217–228.
(x, x+n): Age interval of interest where n is the length of the age interval
nmx: Age-specific mortality rate for the age interval (x, x+n)
nqx: Probability of dying in the age interval (x, x+n)
nqx =1- exp(-n× nmx) where exp is base of natural log (2.71828...)
Ix: Number of individuals surviving to the beginning of the age interval (x, x+n)
Number of individuals alive at the beginning of age x
Ix+n = Ix × (1-nqx)
ndx: The number of individuals who die in the age interval (x, x+n)
ndx = Ix × nqx
nLx: Person-years of life in the age interval (x, x+n):
The number of years of life lived by the cohort within the indicated age interval
nLx = ndx ÷ nmx
Tx: Total person-years of life contributed by the cohort after attaining age x
Total number of age left to be lived by all individuals who survive to the beginning of age category x
Tx=xendoftablenLx
ex0: Life expectancy (expected life at specified age x)
Mean number of age remaining until death for individual surviving to the beginning of age category x
ex0 = Tx ÷ Ix