Helper for Minimal Informative Unimodal Beta Distribution

As defined in Neuenschwander et al. (2008) , this function computes the parameters of the minimal informative unimodal beta distribution, given the request that the p-quantile should be q, i.e. X ~ Be(a, b) with Pr(X <= q) = p.

Usage

h_get_min_inf_beta(p, q)

Arguments

p

(number)
the probability.

q

(number)
the quantile.

Value

A list with the two resulting beta parameters a and b.

References

Neuenschwander B, Branson M, Gsponer T (2008). “Critical aspects of the Bayesian approach to phase I cancer trials.” Statistics in Medicine, 27(13), 2420–2439. https://onlinelibrary.wiley.com/doi/10.1002/sim.3230.