Fig 1.
The mean-income division point M.
Fig 2.
The MDSs and mode of the RGKO LC.
Fig 3.
The MDSs of the ASR LC.
Fig 4.
The MDSs and MDC of the Kakwani LC.
Fig 5.
The MDSs and MDC of the OMFLG LC.
Fig 6.
The MDSs and MDC of the Chotikapanich LC.
Table 1.
The first moments of the Gupta LC.
Fig 7.
The MDSs and MDC of the Pareto LC.
Fig 8.
The parametric mode equation of the Weibull LC.
Fig 9.
The MDSs and MDC of the Weibull LC.
Fig 10.
The MDSs and MDC of the Fisk Lorenz function.
Fig 11.
Mode equations of the Fisk function.
Fig 12.
First moments of the Lognormal LC.
Table 2.
Summary of the MDSs and modes for the eight single-parametric LCs.
Table 3.
Summary of the MDSs and MDC data.
Table 4.
Summary of success according to the minimum SSELC.
Table 5.
Summary of success according to the minimum SSEMDP.
Table 6.
Summary of success in fitting the data and capturing the first moments.
Fig 13.
Standardized SSEMDP and MDC for the RGKO LC (666 observations).
Fig 14.
Standardized SSEMDP and MPS for the Kakwani LC (110 observations).
Fig 15.
The RGKO LCs for α to be within and across the critical boundary (0.25, 1).
Table 7.
Parameter critical boundaries.
Table 8.
Summary statistics of the simulation and empirical estimation.