major
From ineq v0.213
by Achim Zeileis
Majorization
tests whether a vector x
majorizes another vector y
 Keywords
 logic
Usage
major(x,y)
Arguments
 x,y
 vectors containing nonnegative elements (with same length and same mean)
Details
even if x
and y
are comparable (i.e. have same length
and same mean) it is possible that neither x majorizes y nor y majorizes x.
Value

logical. TRUE if x majorizes y (x >=(M) y), FALSE if not.
References
Marshall / Olkin: Inequalities: Theory of Majorization and Its Applications, New York 1979 (Academic Press)
See Also
Examples
# generate vectors (of incomes)
x < c(541, 1463, 2445, 3438, 4437, 5401, 6392, 8304, 11904, 22261)
y < c(841, 2063, 2445, 3438, 4437, 5401, 6392, 8304, 11304, 21961)
# test whether x majorizes y (TRUE, because y is result of
# PigouDaltontransfers)
major(x,y)
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