Computes poverty statistics (Lorenz quadratic) — gd_compute_pip_stats

Compute poverty statistics for grouped data using the quadratic functional form of the Lorenz qurve.

Usage

gd_compute_pip_stats_lq(
  welfare,
  povline,
  population,
  requested_mean,
  popshare = NULL,
  default_ppp,
  ppp = NULL,
  p0 = 0.5
)

Arguments

welfare: numeric: Cumulative proportion of welfare held by that proportion of the population (Lorenz Curve).
povline: numeric: Poverty line.
population: numeric: Cumulative proportion of population.
requested_mean: numeric: Welfare mean.
popshare: numeric: Share of population living below the poverty line. Optional.
default_ppp: numeric: Default purchasing power parity.
ppp: numeric: PPP request by user.
p0: numeric: TO BE DOCUMENTED.

Value

list

Examples

# Set initial parameters
L <- c(
  0.00208, 0.01013, 0.03122, 0.07083, 0.12808, 0.23498, 0.34887,
  0.51994, 0.6427, 0.79201, 0.86966, 0.91277, 1
)
P <- c(
  0.0092, 0.0339, 0.085, 0.164, 0.2609, 0.4133, 0.5497, 0.7196,
  0.8196, 0.9174, 0.957, 0.9751, 1
)
mu <- 109.9 # mean
z <- 89 # poverty line

res <- wbpip:::gd_compute_pip_stats_lq(
  welfare = L,
  population = P,
  requested_mean = mu,
  povline = z,
  default_ppp = 1
)
res$headcount
#> [1] 0.4506148

res2 <- wbpip:::gd_compute_pip_stats_lq(
  welfare = L,
  population = P,
  requested_mean = mu,
  popshare = res$headcount,
  default_ppp = 1
)
res2$povline
#> NULL