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Function for converting log quantile densities to densities
lqd2dens( lqd, lqdSup = seq(0, 1, length.out = length(lqd)), dSup, useSplines = TRUE )
dens density values on dSup
log quantile density on lqdSup
support forlqd domain - must begin at 0 and end at 1
support for Density domain - max and min values mark the boundary of the support.
fit spline to the lqd 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(0,2,length.out =512) y.lqd <- rep(log(2), times = 512) y <- lqd2dens(dSup=x, lqd = y.lqd) # should equate # 1/2
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