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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(2π/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=σπ/21.25σ

median=σ2log(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.

Slots

CV

Coefficient of variation

median_mtd

Median MTDi

median_sdlog

Proportional uncertainty in median MTDi