(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) |
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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) |
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Number of individuals alive at the beginning of age x |
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Ix+n = Ix × (1-nqx) |
ndx: |
The number of individuals who die in the age interval (x, x+n) |
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ndx = Ix × nqx
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nLx: |
Person-years of life in the age interval (x, x+n): |
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The number of years of life lived by the cohort within the indicated age interval |
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nLx = ndx ÷ nmx
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Tx:
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Total person-years of life contributed by the cohort after attaining age x |
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Total number of age left to be lived by all individuals who survive to the beginning of age category x |
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ex0: |
Life expectancy (expected life at specified age x) |
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Mean number of age remaining until death for individual surviving to the beginning of age category x |
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ex0 = Tx ÷ Ix
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