Create the Ghosh-inverse from the output coefficients.
Arguments
- output_coefficients_matrix
A technology coefficient matrix created by the
output_coefficient_matrix_create.- digits
An integer showing the precision of the technology matrix in digits. Default is
NULLwhen no rounding is applied.
Details
The Ghosh-inverse is $$G = (I-B)^-1$$
where B is the output coefficient matrix
created by output_coefficient_matrix_create.
See
the United Nations
Handbook on Supply and Use Tables and Input-Output Tables with Extensions and Applications
pp 622–639.
For the similar inverse
created from input coefficients, see the
leontief_inverse_create function.
See also
Other analytic object functions:
input_flow_get(),
leontief_inverse_create(),
leontief_matrix_create()
Examples
om <- output_coefficient_matrix_create(
data_table = iotable_get()
)
ghosh_inverse_create( output_coefficients_matrix = om )
#> iotables_row agriculture_group industry_group construction
#> 1 agriculture_group 1.033872798 0.86116467 0.05605892
#> 2 industry_group 0.011782944 1.42917800 0.09013694
#> 3 construction 0.003700754 0.08389383 1.02893808
#> 4 trade_group 0.010318967 0.24265216 0.04839848
#> 5 business_services_group 0.011680549 0.32284302 0.08879096
#> 6 other_services_group 0.004271007 0.06261891 0.01050767
#> trade_group business_services_group other_services_group
#> 1 0.06255558 0.04771125 0.05126741
#> 2 0.07103604 0.03825762 0.05061124
#> 3 0.04635583 0.14107965 0.05179948
#> 4 1.17840037 0.04560652 0.05948028
#> 5 0.17460288 1.41256213 0.09323763
#> 6 0.03512252 0.04657745 1.05149484