# likelihood: Read and Set Likelihood to the Corresponding Conjugate Prior In RBesT: R Bayesian Evidence Synthesis Tools

## Description

Read and set the likelihood distribution corresponding to the conjugate prior distribution.

## Usage

 ```1 2 3``` ```likelihood(mix) likelihood(mix) <- value ```

## Arguments

 `mix` Prior mixture distribution. `value` New likelihood. Should only be changed for Gamma priors as these are supported with either Poisson (`value="poisson"`) or Exponential (`value="exp"`) likelihoods.

## Details

If the prior and posterior distributions are in the same family, then the prior distribution is called a conjugate prior for the likelihood function.

## Supported Conjugate Prior-Likelihood Pairs

 Prior/Posterior Likelihood Predictive Summaries Beta Binomial Beta-Binomial `n`, `r` Normal Normal (fixed σ) Normal `n`, `m`, `se` Gamma Poisson Gamma-Poisson `n`, `m` Gamma Exponential Gamma-Exp (not supported) `n`, `m`

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13``` ```# Gamma mixture gmix <- mixgamma(c(0.3, 20, 4), c(0.7, 50, 10)) # read out conjugate partner likelihood(gmix) ess(gmix) # set conjugate partner likelihood(gmix) <- "exp" # ... which changes the interpretation of the mixture ess(gmix) ```

RBesT documentation built on Nov. 24, 2021, 5:07 p.m.