The age-specific death rates are
calculated separately for separate groups of data which are believed to have
different mortality rates (e.g. males and females, and perhaps type of
residence, if data is available separately for these groups) from which one can
calculate the probability of surviving to each age.
The probability of surviving from
age x to age x+n is denoted as npx and the probability of dying
during age x (i.e. between ages x and x+1)
is denoted qx.
For example, if 5% of a group of people alive at their 50th birthday die before
their 51st birthday, then the age-specific death probability at age 50
would be 5%.
The life expectancy at age x,
denoted as ex, is calculated as below. This is
the expected number of complete years lived.
Life expectancy is by definition an arithmetic
mean of number of years
of life remaining at a given age.
By using the theory of Expectation in the Theory
of Probability, it
is calculated as sum of the product of n
, npx and q x+t ; the summation is to from n = 0 to ∞.
It is important to note that this statistic is
usually based on past mortality experience, and assumes that the same
age-specific mortality rates will continue into the future. Thus such life
expectancy figures need to be adjusted for temporal trends before calculating
how long a currently living individual of a particular age is expected to live.
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