LifeTable.core

internal

Fit the most popular human mortality 'laws', and construct
full and abridge life tables given various input indices. A mortality
law is a parametric function that describes the dying-out process of
individuals in a population during a significant portion of their
life spans. For a comprehensive review of the most important mortality
laws see Tabeau (2001) <doi:10.1007/0-306-47562-6_1>.
Practical functions for downloading data from various human mortality
databases are provided as well.

Marius Pascariu

MortalityLaws

Parametric Mortality Models, Life Tables and HMD

Marius D. Pascariu

Vladimir Canudas-Romo

LifeTable.core function

<dl><dt>x</dt>
<dd>Vector of ages at the beginning of the age interval.</dd>
<dt>Dx</dt>
<dd>Object containing death counts. An element of the <code>Dx</code> object
represents the number of deaths during the year to persons aged x to x+n.</dd>
<dt>Ex</dt>
<dd>Exposure in the period. <code>Ex</code> can be approximated by the
mid-year population aged x to x+n.</dd>
<dt>mx</dt>
<dd>Life table death rate in age interval [x, x+n).</dd>
<dt>qx</dt>
<dd>Probability of dying in age interval [x, x+n).</dd>
<dt>lx</dt>
<dd>Probability of survival up until exact age x (if l(0) = 1), or
the number of survivors at exact age x, assuming l(0) &gt; 1.</dd>
<dt>dx</dt>
<dd>Deaths by life-table population in the age interval [x, x+n).</dd>
<dt>sex</dt>
<dd>Sex of the population considered here. Default: <code>NULL</code>.
This argument affects the first two values in the life table ax column.
If sex is specified the values are computed based on the Coale-Demeny method
and are slightly different for males than for females.
Options: <code>NULL, male, female, total</code>.</dd>
<dt>lx0</dt>
<dd>Radix. Default: 100 000.</dd>
<dt>ax</dt>
<dd>Numeric scalar. Subject-time alive in age-interval for those who
die in the same interval. If <code>NULL</code> this will be estimated. A common
assumption is <code>ax = 0.5</code>, i.e. the deaths occur in the middle of
the interval. Default: <code>NULL</code>.</dd></dl>

Arguments

LifeTable.core — LifeTable.core

<dl>

<dt>x</dt>
<dd>Vector of ages at the beginning of the age interval.</dd>


<dt>Dx</dt>
<dd>Object containing death counts. An element of the <code>Dx</code> object
represents the number of deaths during the year to persons aged x to x+n.</dd>


<dt>Ex</dt>
<dd>Exposure in the period. <code>Ex</code> can be approximated by the
mid-year population aged x to x+n.</dd>


<dt>mx</dt>
<dd>Life table death rate in age interval [x, x+n).</dd>


<dt>qx</dt>
<dd>Probability of dying in age interval [x, x+n).</dd>


<dt>lx</dt>
<dd>Probability of survival up until exact age x (if l(0) = 1), or
the number of survivors at exact age x, assuming l(0) &gt; 1.</dd>


<dt>dx</dt>
<dd>Deaths by life-table population in the age interval [x, x+n).</dd>


<dt>sex</dt>
<dd>Sex of the population considered here. Default: <code>NULL</code>.
This argument affects the first two values in the life table ax column.
If sex is specified the values are computed based on the Coale-Demeny method
and are slightly different for males than for females.
Options: <code>NULL, male, female, total</code>.</dd>


<dt>lx0</dt>
<dd>Radix. Default: 100 000.</dd>


<dt>ax</dt>
<dd>Numeric scalar. Subject-time alive in age-interval for those who
die in the same interval. If <code>NULL</code> this will be estimated. A common
assumption is <code>ax = 0.5</code>, i.e. the deaths occur in the middle of
the interval. Default: <code>NULL</code>.</dd>

</dl>

LifeTable.core: LifeTable.core

Description

Usage

Value

Arguments