Multilingual Demographic Dictionary, second unified edition, English volume

Death function (DEATH function)

Translation
Section	English 433	Arabic 433	Czech 433	German 433	Spanish 433	French 433	Italian 433	Japanese 433	Portuguese 433	Russian 433	Chinese 433
433-1	death function	دالة الوفيات	funkce úmrtí	Sterbefunktion	función de mortalidad	table de décès	tavola dei decessi	死亡関数	função de mortalidade	Числа умирающих	死亡函数
433-2		وفيات الجدول		Gestorbene der Sterbetafel —Tafelsterbefall	defunciones de la tabla	décès de la table	decessi della tavola
433-3	expectation of life —life expectancy	أجل المتوسط—أجل المتوقع	naděje dožití	durchschnittliche fernere Lebenserwartung —Lebenserwartung	esperanza de vida	espérance de vie	speranza di vita	平均余命	expectativa de vida —esperança de vida	Продолжительность жизни —Продолжительность предстоящей жизни —Средняя продолжительность жизни —Средняя продолжительность предстоящей жизни	预期寿命数
433-4	expectation of life at birth —mean length of life	أجل المتوسط لدى الولادة—أجل المتوقع للمواليد	naděj e dožití při narození	durchschnittliche Lebenserwartung Neugeborener —Lebenserwartung bei der Geburt —durchschnittliche Lebensdauer	esperanza de vida al nacimiento —vida media	espérance de vie à la naissance —vie moyenne	speranza di vita alla nascita —vita media	出生時の平均余命 —生存期間の平均値	expectativa de vida ao nascer —duração média de vida	Продолжительность жизни при рождении	预期寿命 —平均生存岁数
433-5	life table death rate —death rate of the stationary population	معدل الوفيات لجدول الحياة—معدل الوفيات للمجتمع المتوقف	tabulková míra úmrtnosti	Tafelsterbeziffer —Sterbeziffer der Sterbetafelbevölkerung —Sterbeziffer der stationären Bevölkerung —bereinigte Sterbeziffer	tasa de mortalidad de la población estacionaria —tasa de mortalidad de la tabla de mortalidad	taux de mortalité de la population stationnaire	tasso di mortalità della popolazione stazionaria	生命表死亡率 —定常（静止）人口死亡率	taxa de mortalidade da tábua de vida —taxa de mortalidade de uma população estacionária	Стационарного населения, коэффициент смертности —Коэффициент смертности стационарного населения	生命表死亡率 —静止人口的死亡率

To the survivors function corresponds a death function ¹ which is calculated as the differences between the number of survivors (432-4) at different ages. It is named the distribution of life table deaths ^2★ in order to be distinguished from the crude distribution of deaths. Life tables typically include the expectation of life ³ or life expectancy ³ at age x ; this is the mean number of years to be lived by those surviving to exact age x, given the mortality conditions of the table. The expectation of life at birth ⁴ is a particular case of expectation of life, and represents the mean length of life ⁴ of individuals who have been subjected since birth to the mortality of the table. The reciprocal of the expectation of life at birth is the life table death rate ⁵ or death rate of the stationary population ⁵.

3. By integrating the survivorship function (432-3) between two exact given ages we obtain the total number of years lived by the cohort between these ages; the notation for the total number of years lived between age x and x + n is _nL_x . This function is often called the stationary population in life table column headings. By summing it from a given age x to the end of life, we obtain the total number of years to be lived after attaining age x by those reaching that age; the conventional notation is T _x .
4. The notation for the expectation of life at age x is e_x