dLogHalfflat {nimbleNoBounds}

Log transformed half-flat distribution .

Description

dLogHalfflat and rLogHalfflat provide a log-transformed half-flat distribution. Note, both dhalfflat and dLogHalfflat are improper. Thus, rLogHalfflat returns NAN, just as rhalfflat does.

Usage

dLogHalfflat(x, log = 0)

rLogHalfflat(n = 1)

Arguments

x

A continuous random variable on the real line, where y=exp(x) and y ~ dhalfflat().

log

Logical flag to toggle returning the log density.

n

Number of random variables. Currently limited to 1, as is common in nimble. See ?replicate for an alternative. Note, NAN will be returned because distribution is improper.

Value

A value proportional to the density, or the log of that value, of x, such that x = log(y) and y ~ dhalfflat().

Author(s)

David R.J. Pleydell

Examples

oldpar <- par()
par(mfrow=n2mfrow(2))
## Plot 1
curve(dhalfflat(x), -11, 11, n=1001, col="red", lwd=3, xlab="y = exp(x)", ylab="dhalfflat(y)")
## Plot 2: back-transformed
curve(dLogHalfflat(x), -5, 1.5, n=1001, col="red", lwd=3, , xlab="x = log(y)")
abline(v=0:1, h=c(0,1,exp(1)), col="grey")
par(oldpar)