Australian Government, Australian Government Actuary

Definitions of symbols

Australian Life Tables 2010-12 sets out the following functions:

= the number of persons surviving to exact age x out of 100,000 births

= the number of deaths in the year of age x to (x + 1) among the persons who are alive at the beginning of that year

= the probability of a person aged exactly x surviving the year to age (x + 1)

= the probability of a person aged exactly x dying before reaching age (x + 1)

= the force (or instantaneous rate) of mortality at exact age x

= the complete expectation of life (that is, the average number of years lived after age x) of persons aged exactly x

= the total number of years of life experienced between age x and
(x + 1) by persons aged exactly x

= the total number of years of life experienced after age x by persons aged exactly x

NOTE: Figures in the Tables are rounded and hence the usual identities between these functions may not be satisfied exactly.