Contours functions

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Description

Contour levels and sizes.

Usage

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contourLevels(x, ...)
## S3 method for class 'kde'
contourLevels(x, prob, cont, nlevels=5, approx=TRUE, ...)
## S3 method for class 'kda'
contourLevels(x, prob, cont, nlevels=5, approx=TRUE, ...)

contourSizes(x, abs.cont, cont=c(25,50,75), approx=TRUE)

Arguments

x

an object of class kde or kda

prob

vector of probabilities corresponding to highest density regions

cont

vector of percentages which correspond to the complement of prob

abs.cont

vector of absolute contour levels

nlevels

number of pretty contour levels

approx

flag to compute approximate contour levels. Default is TRUE.

...

other parameters

Details

–For contourLevels, the most straightforward is to specify prob. Heights of the corresponding highest density region with probability prob are computed. The cont parameter here is consistent with cont parameter from plot.kde and plot.kda i.e. cont=(1-prob)*100%. If both prob and cont are missing then a pretty set of nlevels contours are computed.

–For contourSizes, the approximate Lebesgue measures are approximated by Riemann sums. Thsese are rough approximations and depend highly on the estimation grid, and so should be interpreted carefully.

If approx=FALSE, then the exact KDE is computed. Otherwise it is interpolated from an existing KDE grid. This can dramatically reduce computation time for large data sets.

Value

–For contourLevels, for kde objects, returns vector of heights. For kda objects, returns a list of vectors, one for each training group.

–For contourSizes, an approximation of the Lebesgue measure of level set, i.e. length (d=1), area (d=2), volume (d=3), hyper-volume (d>4).

See Also

contour, contourLines

Examples

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set.seed(8192)
x <- rmvnorm.mixt(n=1000, mus=c(0,0), Sigmas=diag(2), props=1)
fhat <- kde(x=x, binned=TRUE)
contourLevels(fhat, cont=c(75, 50, 25))
contourSizes(fhat, cont=25, approx=TRUE) 
   ## compare to approx circle of radius=0.75 with area=1.77

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