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Function for converting Quantile Densities to Densities
qd2dens( qd, qdSup = seq(0, 1, length.out = length(qd)), dSup, useSplines = TRUE )
dens density values on dSup
quantile density on qdSup
support for quantile domain - must begin at 0 and end at 1 (default = seq(0, 1, length.out = length(qd)))
support for Density domain - max and min values mark the boundary of the support.
fit spline to the qd when doing the numerical integration (default: TRUE)
Functional Data Analysis for Density Functions by Transformation to a Hilbert space, Alexander Petersen and Hans-Georg Mueller, 2016
x <- seq(0,1,length.out =512) y <- rep(2,length.out =512) y.dens <- qd2dens(qd=y, qdSup = x, dSup = seq(0, 2, length.out = 512)) # should equate # 1/2
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