theor.Lc {ineq} | R Documentation |
theoretical Lorenz curves of income distributions
theor.Lc(p,parameter=0,type=c("Singh-Maddala","Dagum","lognorm","Pareto","exponential")) Lc.dagum(p, parameter=c(2,2)) Lc.singh(p, parameter=c(2,2)) Lc.pareto(p, parameter=2) Lc.lognorm(p, parameter=1) Lc.exp(p)
p |
vector with elements from [0,1] |
parameter |
vector containing parameter(s) of the distributions |
type |
character string giving the income distribution. must be one of the strings in the default argument (the first character is sufficient). defaults to "Singh-Maddala". |
theor.Lc
is just a wrapper for the theoretical Lorenz curves
of income distributions Lc.dagum
, Lc.singh
,
Lc.pareto
, Lc.lognorm
, Lc.exp
.
Lc.dagum
is the Lorenz curve of the Dagum distribution (2
parameters), Lc.singh
the one of the Singh-Maddala
distribution (2 parameters), Lc.pareto
the one of the Pareto
distribution (1 parameter), Lc.lognorm
the one of the Lognormal
distribution (1 parameter) and Lc.exp
the Lorenz curve of the
exponential distribution (no parameter).
value of the theoretical Lorenz curve at p
Achim Zeileis zeileis@ci.tuwien.ac.at
C Dagum: Income Distribution Models, 1983, in: Johnson / Kotz (Eds): Encyclopedia of Statistical Sciences Vol.4, 27-34.
J B McDonald: Some generalized functions for the size distribution of income, 1984, Econometrica 52, 647-664.
# vector of percentages p <- (1:10)*0.1 # compute values of theoretic Lorenz curve of a Dagum-distribution theor.Lc(p, parameter=c(3.4,2.6), type="Dagum") # or Lc.dagum(p, parameter=c(3.4,2.6))