spCdf: (Weighted empirical) cumulative distribution function
Description
Compute a (weighted empirical) cumulative distribution function for survey
or population data. For survey data, sample weights are taken into account.
Usage
spCdf(x, weights = NULL, approx = FALSE, n = 10000)
Value
A list of class "spCdf" with the following components:
x
a numeric vector containing the \(x\)-coordinates.
y
a
numeric vector containing the \(y\)-coordinates.
approx
a logical
indicating whether the coordinates represent an approximation.
Arguments
x
a numeric vector.
weights
an optional numeric vector containing sample weights.
approx
a logical indicating whether an approximation of the
cumulative distribution function should be computed.
n
a single integer value; if approx is TRUE, this
specifies the number of points at which the approximation takes place (see
approx).
Author
Andreas Alfons and Stefan Kraft
Details
Sample weights are taken into account by adjusting the step height. To be
precise, the weighted step height for an observation is defined as its
weight divided by the sum of all weights\(\ ( w_{i} / \sum_{j = 1}^{n}
w_{j} ).\)
If requested, the approximation is performed using the function
approx.
References
A. Alfons, M. Templ (2011) Simulation of close-to-reality population data for household surveys with application to EU-SILC.
Statistical Methods & Applications, 20 (3), 383--407. tools:::Rd_expr_doi("10.1007/s10260-011-0163-2")