LEdecomp                Function for applying different Life-Expectancy
                        decomposition and sensitivity methods
US_data                 US Mortality data
US_data_CoD             US cause-of-death Mortality data
abridge_mx              Abridge a single-year mx schedule to 0,1,5,...
                        using lifetable quantities
ald_to_Lx               Calculate the lifetable exposure
andreev                 Andreev (1982) component decomposition of e0
                        difference by age
andreev_sym             Decompose using a symmetrical variant of the
                        Andreev components approach.
arriaga                 classic Arriaga decomposition
arriaga_sym             Decompose using a symmetrical variant of the
                        Arriaga approach.
available_methods       List available decomposition methods
chandrasekaran_II       II approach of Chandrasekaran decomposition
                        approach
chandrasekaran_III      Chandrasekaran III decomposition
lL_to_ex                calculate remaining life expectancy 'ex' for
                        each age
lopez_ruzicka           Lopez-Ruzicka decomposition
lopez_ruzicka_sym       Symmetric Lopez-Ruzicka decomposition
lx_to_dx                Calculate the lifetable death distribution
mx_to_ax                produce single-age 'ax' values
mx_to_e0                calculate life expectancy at birth from
                        mortality rates
mx_to_ex                calculate remaining life expectancy from
                        mortality rates
mx_to_qx                produce single-age 'qx' values
plot.LEdecomp           Plot Life-Expectancy Decomposition Results
                        (ggplot2)
qx_to_lx                Calculate the survival curve
rcumsum                 top-down cumulative sums, as in the lifetable
                        Tx
sen_andreev             the sensitivity implied by an Andreev
                        decomposition
sen_andreev_instantaneous
                        Estimate sensitivity of life expectancy for a
                        set of mortality rates
sen_andreev_instantaneous2
                        Estimate sensitivity of life expectancy for a
                        set of mortality rates by perturbing in the log
                        space.
sen_andreev_sym         Estimate sensitivity of life expectancy using a
                        symmetrical Andreev approach.
sen_andreev_sym_instantaneous
                        Instantaneous sensitivity via symmetrical
                        Andreev decomposition
sen_andreev_sym_instantaneous2
                        Estimate sensitivity of life expectancy for a
                        set of mortality rates by perturbing in the log
                        space.
sen_arriaga             the sensitivity implied by a classic Arriaga
                        decomposition
sen_arriaga_instantaneous
                        Estimate sensitivity of life expectancy for a
                        set of mortality rates
sen_arriaga_instantaneous2
                        Estimate sensitivity of life expectancy for a
                        set of mortality rates by perturbing in the log
                        space.
sen_arriaga_sym         Estimate sensitivity of life expectancy using a
                        symmetrical Arriaga approach.
sen_arriaga_sym_instantaneous
                        Instantaneous sensitivity via symmetrical
                        Arriaga decomposition
sen_arriaga_sym_instantaneous2
                        Estimate sensitivity of life expectancy for a
                        set of mortality rates by perturbing in the log
                        space.
sen_chandrasekaran_II   Sensitivity from Chandrasekaran II
                        decomposition
sen_chandrasekaran_III
                        Sensitivity from Chandrasekaran III
                        decomposition
sen_chandrasekaran_III_instantaneous
                        Instantaneous sensitivity via Chandrasekaran
                        III decomposition
sen_chandrasekaran_III_instantaneous2
                        Log-space instantaneous sensitivity via
                        Chandrasekaran III decomposition
sen_chandrasekaran_II_instantaneous
                        Instantaneous sensitivity via Chandrasekaran II
                        decomposition
sen_chandrasekaran_II_instantaneous2
                        Log-space instantaneous sensitivity via
                        Chandrasekaran II decomposition
sen_e0_mx_lt            A direct approximation of the sensitivity of
                        life expectancy at birth to changes in
                        mortality.
sen_lopez_ruzicka       Sensitivity from Lopez-Ruzicka decomposition
sen_lopez_ruzicka_instantaneous
                        Instantaneous sensitivity via Lopez-Ruzicka
                        decomposition
sen_lopez_ruzicka_instantaneous2
                        Log-space instantaneous sensitivity via
                        Lopez-Ruzicka decomposition
sen_lopez_ruzicka_sym   Sensitivity from symmetric Lopez-Ruzicka
                        decomposition
sen_lopez_ruzicka_sym_instantaneous
                        Instantaneous sensitivity via symmetrical
                        Lopez-Ruzicka decomposition
sen_lopez_ruzicka_sym_instantaneous2
                        Log-scale instantaneous sensitivity via
                        symmetrical Lopez-Ruzicka decomposition
sen_min                 sen_min
sen_num                 A numerical approximation of the sensitivity of
                        life expectancy at birth to changes in
                        mortality.
sen_resid               sen_resid
