Description Usage Arguments Value References Examples
Given a partial order (arguments profiles
for the set of profiles and/or
zeta
for the incidence matrix) a selected threshold
,
the function returns an object of S3 class parsec
, a list of objects described in
Value section. This function retuns only the identification function. See evaluation
to obtain also the gaps and the inequality measures. This function is a simplified and faster version
to obtain only the identification function.
Results are obtained by uniform sampling of the linear extensions of the poset, by using the Bubley Dyer (1999) algorithm.
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profiles |
an object of S3 class |
threshold |
a vector to select profiles as threshold. It can be a vector of indexes (numeric), a vector of profiles names (character) or a boolean vector as long as the number of profiles. |
error |
the error of approximation of the frequencies to the uniformity to sample the linear extensions. |
zeta |
the incidence matrix of the poset. An object of S3 class |
weights |
weights to assign to profiles. If the argument |
linext |
the initializing linear extension, by default generated by |
nit |
Number Of Iterations, by default evaluated from a formula of Karzanov and Khachiyan
from the number of profiles and the argument |
maxint |
Maximum integer. By default the maximum integer obtainable in a 32bit system.
This argument is used to groups the iterations and run different times the compiled
C library, in order to avoid memory indexing problems. Therefore the user can
set a lower value to |
profiles |
an object of S3 class |
number_of_profiles |
number of profiles. |
number_of_variables |
number of variables. |
incidence |
S3 class |
cover |
S3 class |
threshold |
boolean vector indicating whether a profile belongs to the threshold. |
number_of_iterations |
number of iterations performed by the Bubley Dyer algorithm. |
rank_relative_frequencies |
matrix that by rows reports the relative frequencies distribution of the ranks for each profile. |
threshold_relative_frequencies |
vector that reports the relative frequency of the times a profile is used as threshold in the sampled linear extensions. This result is useful for posterior valuation of the poset threshold. |
profiles_weights |
vector of weights assigned to each profile. |
edges_weights |
matrix of distances between profiles, used to evaluate the measures of gap. |
identification_function |
vector that reports the relative frequency of times that a profile is equal or lower than the threshold of the linear extension. |
point_absolute_poverty_gap |
|
point_relative_poverty_gap |
|
point_absolute_wealth_gap |
|
point_relative_wealth_gap |
|
poverty_gap |
|
wealth_gap |
|
inequality |
|
Bubley R., Dyer M. (1999), Faster random generation of linear extensions, Discrete Math., 201, 81-88.
Fattore M., Arcagni A. (2013), Measuring multidimensional polarization with ordinal data, SIS 2013 Statistical Conference, BES-M3.1 - The BES and the challenges of constructing composite indicators dealing with equity and sustainability
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