Description Usage Arguments Details Value Author(s) References See Also Examples
View source: R/PostPercentile.R
Computes posterior expected percentiles for both parametric and nonparametric models.
1 | PostPercentile(object)
|
object |
An object of class "rvals" |
With parameters of interest θ_1,...,θ_n the rank of the ith parameter (when we set the ranking so that the largest θ_i gets rank 1) is defined as rank(θ_i) = sum_j(θ_j ≥ θ_i) and the associated percentile is perc(θ_i) = rank(θ_i)/(n+1). The posterior expected percentile for the ith unit (see e.g., Lin et. al. (2006)) is simply the expected value of perc(θ_i) given the data.
The function PostPercentile
computes an asymptotic version of the
posterior expected percentile, which is defined as
P(θ_i ≤ θ|data),
where θ has the same distribution as θ_i and is independent of both θ_i and the data. See Henderson and Newton (2014) for additional details.
A vector of estimated posterior expected percentiles.
Nicholas Henderson and Michael Newton
Henderson, N.C. and Newton, M.A. (2016). Making the cut: improved ranking and selection for large-scale inference. J. Royal Statist. Soc. B., 78(4), 781-804. doi: 10.1111/rssb.12131 https://arxiv.org/abs/1312.5776
Lin, R., Louis, T.A., Paddock, S.M., and Ridgeway, G. (2006). Loss function based ranking in two-stage, hierarchical models. Bayesian Analysis, 1, 915–946.
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