R/toxicity_generators.R
hyper_mtdi_lognormal-class.Rd
This hyperprior generates lognormal MTDi distributions with their
coefficients of variation being drawn from a Rayleigh distribution
with mode parameter set to
σ:=CV.
Because the standard deviation of this distribution is
sd=σ√(2−π/2)≈0.655σ,
this conveniently links our uncertainty about CV
to its mode,
and indeed to other measures of centrality that are proportional to this:
mean=σ√π/2≈1.25σ
median=σ√2log(2)≈1.18σ.
The medians of the lognormal distributions generated are themselves
drawn from a lognormal distribution with meanlog = log(median_mtd)
and sdlog = median_sdlog
. Thus, parameter median_sdlog
represents a proportional uncertainty in median_mtd
.
CV
Coefficient of variation
median_mtd
Median MTDi
median_sdlog
Proportional uncertainty in median MTDi