fm_verma2 {FuzzyPovertyR} | R Documentation |
Fuzzy monetary poverty estimation
Description
fm_construct
constructs fuzzy monetary poverty estimates.
Usage
fm_verma2(predicate, weight, ID, HCR, interval, alpha, breakdown, verbose)
Arguments
predicate |
A numeric vector of a predicate variable (i.e. equivalised income or expenditure) |
weight |
A numeric vector of sampling weights. if NULL simple random sampling weights will be used. |
ID |
A numeric or character vector of IDs. if NULL (the default) it is set as the row sequence. |
HCR |
The value of the head count ratio (this is not used in the case that alpha is supplied by the user). |
interval |
A numeric vector of length two to look for the value of alpha (if not supplied). |
alpha |
The value of the exponent in equation $E(mu)^(alpha-1) = HCR$. If NULL it is calculated so that it equates the expectation of the membership function to HCR |
breakdown |
A factor of sub-domains to calculate estimates for (using the same alpha). |
verbose |
Logical. whether to print the proceeding of the procedure. |
Details
It implements the fuzzy set approach to monetary poverty measurement where the usual dichotomy poor (1) not-poor(0) is replaced with a continuum score in $(0,1)$
Value
A list containing the (fuzzy) membership function for each individual in the sample, the estimated expected value of the function, the alpha parameter.