Prior_lambda {brr} R Documentation

## Prior distribution on the incidence rate in the treated group

### Description

Density, distribution function (see Details) and random generation for the prior distribution on the rate in the treated group. The prior distribution on the incidence rate λ is not to be set by the user: it is induced by the user-specified prior on μ and φ.

### Usage

```dprior_lambda(lambda, a, b, c, d, S, T)

rprior_lambda(n, a, b, c, d, S, T)

pprior_lambda(q, a, b, c, d, S, T, ...)

sprior_lambda(a, b, c, d, S, T, ...)
```

### Arguments

 `lambda,q` vector of quantiles `a,b` non-negative shape and rate parameter of the Gamma prior distribution on μ `c,d` non-negative shape parameters of the prior distribution on φ `S,T` sample sizes in control group and treated group `n` number of observations to be simulated `...` other arguments passed to `genhypergeo` through `pGB2`, such as `series=FALSE` to use the continued fraction expansion, or passed to `summary_GB2` (for `sprior_lambda`)

### Details

The pdf of the prior distribution on the incidence rate λ involves the Kummer confluent hypergeometric function of the second kind. The cdf involves the generalized hypergeometric function. Its current implementation does not work when `a-c` is an integer.

### Value

`dprior_lambda` gives the density, `pprior_lambda` the distribution function (see Details), `rprior_lambda` samples from the distribution, and `rprior_lambda` gives a summary of the distribution.

### Note

`Prior_lambda` is a generic name for the functions documented.

### Examples

```curve(dprior_lambda(x, 2, 2, 2.5, 2, 10, 10), from=0, to=5)
sprior_lambda(2, 2, 2.5, 2, 10, 10)
```

[Package brr version 1.0.0 Index]