Prior predictive distribution of the count in the treated group

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Description

Density, distribution function, quantile function and random generation for the prior predictive distribution of the count in the treated group.

Usage

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dprior_x(x, a, b, c, d, T)

pprior_x(q, a, b, c, d, T)

qprior_x(p, a, b, c, d, T)

rprior_x(n, a, b, c, d, T)

sprior_x(a, b, c, d, T, ...)

Arguments

x,q

vector of non-negative integer quantiles

a,b

non-negative shape parameter and rate parameter of the Gamma prior distribution on the rate μ

c,d

non-negative shape parameters of the prior distribution on φ

T

sample size of the control group

p

vector of probabilities

n

number of observations to be simulated

...

passed to summary_PGB2

Details

The prior predictive distribution of the count x is the Poisson-Gamma-Beta2 distribution with shape parameters a, d, c, and hyperrate parameter b/(b+T).

Value

dprior_x gives the density, pprior_x the distribution function, qprior_x the quantile function, rprior_x samples from the distribution, and sprior_x gives a summary of the distribution.

Note

Prior_x is a generic name for the functions documented.

Examples

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barplot(dprior_x(0:30, 2, 3, 4, 5, 10))
sprior_x(2, 3, 4, 5, 10, output="pandoc")

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