Central death rate

Central death rate (CENTRAL death rate)

Translation
Section	English 432	Arabic 432	Czech 432	German 432	Spanish 432	Finnish 432	French 432	Italien 432	[[pl-I:43#432\|Template:Lang name -pl 432]]	Portuguese 432	Russian 432
432-1	death function	جدول الوفيات	úmrtnostní funkce	tafelmäßig Gestorbene	tabla de fallecidos	kuolleiden ikäjakauma	table des décès	tavola dei decessi	funkcja zgonów	FUNÇÃO de mortalidade	Числа умирающих
432-2	probability of death	نسبة الوفيات—احتمال الوفاة	pravděpodobnost úmrtí	Sterbewahrscheinlichkeit	probabilidad de muerte	kuolemanvaara —kuolemanvaaraluku	quotient de mortalité —quotient annuel de mortalité	probabilità di morte —probabilità annua di morte	prawdopodobieństwo zgonu	PROBABILIDADE de morte	Вероятность смерти
432-3	central death rate	معدل الوفيات المركزي	tabulkový koeficient úmrtnosti	Sterbetafel-Sterbeziffer —Sterbetafel-Sterbekoeffizient —reine Sterbeziffer	coeficientes medios de mortalidad	keskikuolleisuus	taux moyen de mortalité	quoziente medio di mortalità —coefficiente medio di mortalità —tasso centrale di mortalità	centralny współczynnik zgonów	COEFICIENTE central de mortalidade	Табличный коэффициент смертности
432-4	force of mortality —instantaneous death rate	معدل الوفيات اللحظي—وطأة الموتان	intensita úmrtnosti	Sterblichkeitskraft —Sterblichkeitsintensität	coeficiente instantáneo de mortalidad —tasa instantánea de mortalidad	kuolleisuuden intensiteetttiluku	quotient instantané de mortalité —taux instantané de mortalité	tasso istantaneo di mortalità —forza di mortalità	natężenie umieralności —chwilowa stopa zgonów	FÔRÇA de mortalidade —INSTANTÂNEA, taxa de mortalidade	Сила смертности

The differences between the number of survivors (431-4) at different ages give the number of deaths within the age interval or the death function¹. The ratio of deaths between ages x and x + n to the number of survivors at age x is called the probability of death² between ages x and x+ n. The central death rate³ is the ratio of deaths between ages x and x + n to the mean population alive at that age. The force of mortality⁴ or instantaneous death rate⁴ is the derivative of the natural logarithm of the survivorship function (431-3) taken negatively.

1. The number of deaths between ages x and x + n is written _nd_x and between ages x and x + 1 is written d_x.
2. The probability of dying between age x and x + n is written _nq_x and between ages x and x + 1 is written q_x.
3. The central death rate at age x is written m_x.
4. The force of mortality at age x is written µ_x.