Description Usage Arguments Details Value Author(s) References See Also
View source: R/utils_sdPrior.r
Compute Cumulative Distribution Function of Approximated (Differentiably) Uniform Distribution.
1 | papprox_unif(x, scale, tildec = 13.86294)
|
x |
denotes the argument of cumulative distribution function |
scale |
the scale parameter originally defining the upper bound of the uniform distribution. |
tildec |
denotes the ratio between scale parameter θ and s. The latter is responsible for the closeness of the approximation to the uniform distribution. See also below for further details and the default value. |
The cumulative distribution function of dapprox_unif
is given by
(1/(log(1+exp(-\tilde{c}))+\tilde{c}))*(\tilde{c}*(τ^2)^(1/2)/θ-log(exp((τ^2)^(1/2)*\tilde{c}/θ)+exp(\tilde{c})))
\tilde{c} is chosen such that P(τ^2<=θ)>=0.95.
the cumulative distribution function.
Nadja Klein
Nadja Klein and Thomas Kneib (2015). Scale-Dependent Priors for Variance Parameters in Structured Additive Distributional Regression. Working Paper.
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